Basic Probability Concepts

Key Questions

• What is the relationship between probability and percent?

  It's a matter of converting between a fraction and a percentage .

  Remember that the word 'percent' really means 'per hundred'.
  (and you are in fact converting from dollars to cents and back)

  So if you have a probability of `0.11` you can rewrite this as
  `0.11=11/100=11%` (or `$0.11=11 cents`)

  And the other way around, if you have a chance-percentage of `45%` you can rewrite this as:
  `45%=45/100=0.45` (or `45cents=$0.45`)

  The rule:
  Fraction`->`percentage = times 100
  Percentage `->` fraction = divide by 100

  That's all there is to it.

  One more thing:
  In probabilities you never have more than `$1` or `100%`

  MeneerNask · 10 · Feb 3 2015
• What are independent trials, and how do they relate to the definition of probability?

  Answer:

  In Probability we use the term Bernoullian trials for independent trials.

  Explanation:

  A sequence of trials are said to be Bernoullian if
  (i) there are only two outcomes for each trial ( say a success or a failure)
  (ii) Consecutive trials in the sequence are independent
  and (iii) probability of success in every trial is a constant (namely p)
  It is clear that no trial depends on the previous one here.
  Consider drawing of two cards consecutively from a well shuffled deck of cards. Consider the event that cards are both diamonds. If the draw is with replacement the trials are independent ( Bernoullian) . Otherwise they are dependent.
  In the former case the probability is ( 1/4) x (1/4)
  In the later it is( 1/4) x (12/51)

  Chandra S. · 1 · Jul 13 2015

• What is a random event in probability?
• What is the sample space of flipping a coin?
• What is the probability of obtaining a "3" on one roll of a die?
• What is the sample space of rolling a 6-sided die?
• If you draw one card from a deck of cards, what is the probability that it is a heart or a diamond?
• What is the probability that, if you roll a balanced die twice, that you will get a "1" on both dice?
• You stand at the basketball free-throw line and make 30 attempts at at making a basket. You make 3 baskets, or 10% of your shots. Is it accurate to say that three weeks later, when you stand at the free-throw line, that the probability of making a basket on your first attempt is 10%, or .10?
• You have a balanced coin. In your first 350 flips, you have obtained 300 tails and 50 heads. Which has a higher probability of coming up on your next flip: heads or tails?
• The last 3 times you went to the dentist for your 6-month checkup, it rained as you drove to her office. What is the probability that it will rain while you are driving to today's dental appointment?
• You roll a balanced die two times. Is the second roll independent of the first roll?
• Your statistics teacher tells you that there is a 50% chance that a coin will land heads up. How would you state this chance in terms of a probability?
• How many outcomes will constitute the sample space resulting from rolling a pair of balanced 6-sided dice?
• If the probability of the event "It will rain today" is 0.6, what is the probability of the complement event?
• What is the probability of an impossible event?
• What is the relationship between probability and percent?
• What are independent trials, and how do they relate to the definition of probability?
• How many times will EcoR1 cut a random 10kb DNA fragment? How does this change for linear or circular DNA?
• Question #ba1dc
• Question #e49ee
• If you flip a coin 10 times, what is the probability of getting heads at least once?
• If you flip a fair coin four times, what is the probability that there you get heads twice?
• If you flip a coin 10 times, what are the odds that you will get the same number of heads and tails? ?
• What is the probability of getting three heads or three tails with three coin flips?
• If you flip a coin 5 times, what is the probability of getting exactly 3 tails?
• If you flip a fair coin 10 times, what is the probability that it lands on heads exactly 4 times?
• If you flip a coin three times, what is the probability of getting tails three times?
• If you flip a fair coin four times, what is the probability that you get heads at least twice?
• In a symmetric distribution, are the mean, median, and mode necessarily equal?
• What are the mean, median, and mode of the following numbers?: 42, 19, 36, 9, 42, 17, 3, 6, 9, 42, 11, 22, 16, and 14
• What is the mean, median, mode, and range for the following numbers?: 4, 5, 1, 7, 6, 5, 3, 5, 4, 5, 3
• What is the mean, median, mode, and range for the following numbers?: {4, 5, 1, 7, 6, 5, 3, 5, 4, 5, 3}
• What is the mean, median, mode, and range of the following numbers?: {1,2,3,4,5,6,7,8,9}
• What distribution type does a coin flip follow?
• What are the mean, median, and mode salaries of a baseball team where the 24 players earn the following annual salaries: 2 players at $14.6 million; 4 at $7.45 million; 4 at 3.93 million; 5 at $450,000; 2 at $390,000 and 7 at $200,000?
• What combination of seven numbers has a mean of 45, median of 40, and a mode 50?
• What does it mean if the mean, median and the mode of a set of numbers are equal?
• What do the mean, median, and mode tell you about a set of numbers?
• What are the mean, median, and mode? What do they measure?
• Why is the mean, but not the mode nor median, affected by outliers in a data set?
• When would the mode of a data set differ significantly from both the mean and median?
• What does it mean for a data set to be bimodal?
• If the probability of events A & B occurring are P(A) = 0.3 and P(B) = 0.8, what is the probability that both A & B occur?
• A bin contains 71 light bulbs, of which 9 are defective. If 6 light bulbs are randomly selected from the bin without replacement of the selected bulbs, what is the probability that all of the selected bulbs are good?
• If you roll two die, what is the likelihood that you will get at least one six?
• What is the significance of covariance? What does it mean when the covariance of two variables is positive?
• For random variables X and Y, what is Var(X+Y) in terms of Var(X) and Var(Y)?
• For random variables `X` and `Y`. What is `"Var"(X+Y)` in terms of `"Var"(X)` and Var(Y)?
• What does a negative covariance mean?
• Let X and Y have joint density given by f(x,y) = 6(1-y) for 0 ≤ x ≤ y ≤ 1. What is Cov(X,Y)?
• If the covariance of two variables is 0, are they necessarily independent?
• How do you construct a covariance matrix?
• How do I calculate the covariance between 2 risky assets?
• What does covariance mean?
• What does covariance tell you?
• How do you calculate expected value?
• What is the expected value of a lottery ticket which pays $10 million if the ticket contains the six winning numbers chosen from the set {1,2,3,...,50}?
• What is the expected value of a fair coin toss, where heads = 1 and tails = 0?
• If a pair of die are rolled, what is the expected value of the sum of the rolls?
• A 28-year-old man pays $165 for a one-year life insurance policy with coverage of $140000. If the probability that he will live through the year is 0.994, what is the expected value of the insurance policy?
• Assume that 10% of published books break even, 20% lose $10,000, 30% lose $20,000, and 40% net $10,000. What is the expected value of a random book?
• An electronics store sells warranties on a $200 item for $15. The probability that a customer exercises the warranty is 3%. If it costs $3 to administer each warranty, what is the expected profit per warranty sold?
• What is the expected value of a coin toss game where you win $2 for each heads and lose $3 for each tails?
• How do you calculate the expected value of a random variable?
• What is the expected value of the sum of two rolls of a six sided die?
• What is the expected value of a constant variable?
• What is the formula of the expected value of a geometric random variable?
• Is expected value affected by changes in variance?
• A pet store has 4 poodles, 3 terriers, and 2 retrievers. If Rebecca and Aaron (in that order) each select a puppy at random, without replacement, what is the probability that Aaron selects a retriever given that Rebecca selects a poodle?
• What is the median of a data set?
• Why can the median of a data set differ from the mean?
• What does it mean if the mean an median of a data set differ greatly?
• Is it possible for 75% of the data to be above the median?
• What are the mean and median of the following?: 2,5,5,6,6,6,7,7,7,7,9,10
• What is the median of the following numbers?: 16, 9, 10, 5, 4?
• How do you find the median of an even number of numbers?
• What are the mean, median, and mode of the following numbers?: 1,4,5,6,10,25?
• If four test scores are 87, 92, 76, 89, what minimum fifth score is needed for the median to be 89?
• What is the median of the following numbers?: 13, 15, 26, 11, 26, 16, 12,
• What does it mean if the mean and median of a data set differ greatly?
• In a symmetric distribution, are the mean, median, and mode always equal?
• If the mean, median, and mode are all equal for the set {3,4,5,8,x}, what is the value of x?
• What is the difference between mean, median, average, and mode?
• Can the range of a data set affect the mean, median, or mode?
• Why are mean, median, and mode measures of central tendency?
• Three people go to the market in the morning with the following probabilities: 1/2, 2/3, and 3/4. What is the likelihood that two go to the market on a given morning?
• Why is expected value a measure of central tendency?
• What is the difference between continuous and discrete data?
• What does quantitative mean?
• What does discrete mean?
• How are continuous and discrete treated differently?
• Can discrete data be approximated with a continuous random variable?
• With a fair dice what is the probability of rolling a 1?
• If you roll a die, what is the probability of rolling a number greater than 4?
• If you roll a pair of dice, what is the probability of rolling either a single 5 or a sum that is an even number?
• If you roll a pair of dice, what is the probability of rolling either a single 3 or a sum that is an odd number?
• If you roll a single die, what is the expected number of rolls necessary to roll every number once?
• If you roll a fair die three times, what is the probability that none of your rolls is a number divisible by 3?
• If you roll a fair die three times, what is the probability that you don't roll any 5's?
• Suppose that you toss a coin and roll a die.What is the probability of obtaining tails and a five?
• Suppose that you toss a coin and roll a die. What is the probability of obtaining tails and a five?
• Suppose that you toss a coin three times and roll three dice. What is the probability of obtaining two tails, one five, and at least one dice roll of less than three?
• If two dice are rolled once and one die rolled a second time if the first two rolls have same number, what is the probability of getting a sum of 14?
• If two dice are rolled once and one die rolled a second time if the first two rolls have same number, what is the probability that the two or three rolls will sum to over 15?
• If you flip a coin and roll a die, what is the probability that you will flip a heads and roll a 3?
• If you roll two dice, what is the probability of rolling a 6 and a number greater than 4?
• If you roll two dice, what is the probability of rolling a number less than 5 and another odd number?
• If you roll two dice, what is the probability of rolling a 3 and an even number?
• If you roll 2 die, what is the probability that you will get a sum of 11? What about a sum of 5?
• If you roll two dice, what sum of the rolls has the highest probability? What about the lowest?
• If you roll a die six times, what is the probability that the number of even rolls is less than the number of rolls of 3 and 5 combined?
• If two fair coins are tossed, what is the probability of getting two heads?
• Among 8 electrical components exactly three are known to not function properly. 5 components are randomly selected, how do you find the probability that at least one component does not function properly?
• A coin is tossed 4 times, what is the probability of NOT getting 2 heads?
• A number cube is rolled and a coin is tossed. What is the probability of rolling a 5 and tossing tails?
• What is the most probable number of heads out of `50` tosses of a fair coin (A) `15`, (B) `25` (C) `35` ?
• Question #c131b
• Question #4f37a
• Abby wants to roll a 1 or 2 on a number cube. What is the probability of that happening?
• Question #7e09b
• What are the odds and probability of rolling 5 dice, and all 5 dice are the same number?
• Question #78370
• The probability of drawing a green candy from a jar of 20 candies is 1/4. How many yellow candies should be added to the jar in order to reduce the probability to 1/6 ?
• How many ways can you roll a pair of dice and get an even product?
• What is the probability that you will get a sum of 7 when you roll a pair of dice?
• Ten people are entered in a race. If there are no ties, in how many ways can the first three places come out?
• Question #6cce1
• Question #27b1c
• Given `{a,b,c} in [-L,L]` What is the probability that the roots of `a x^2+b x + c = 0` be real?
• A dice is thrown, what is the probability that it is an odd prime number? Thank you!
• Suppose the probability that it will rain tomorrow is 0.7. (a) What are the odds that it will rain tomorrow? (b) What are the odds that it will not rain tomorrow?
• Two cards are chosen at random from a deck of 52 cards. What is the probability of getting a diamond, replacing the card, then getting a red jack?
• A jar contains 100 marbles. There are 7 blue marbles, 4 green marbles, 46 red marbles, and 43 yellow marbles. What is the probability of randomly selecting a yellow marble?
• Suppose you roll two dice. How do you find the probability that you'll roll a sum of 7?
• Suppose 61 newly created pairs of jeans are placed in a bin to be checked for quality. Of these, 5 will not be of high enough quality to sell. What is the chance that two pairs of jeans selected will be substandard?
• You are dealt a hand of three cards one at a time. What is the probability that you get no spades?
• Suppose your license plate has three digits (between 0 and 9) followed by three letters (between A and Z). If a license number is selected randomly, what is the probability that yours is the one selected?
• What careers use probability? How?
• What is the probability that of 25 randomly selected students, no two share the same birthday?
• Amy, Jean, Keith, Tom, Susan, and Dave have all been invited to a birthday party. They arrive randomly and each person arrives at a different time. In how many ways can they arrive?
• What is the probability of rolling at least one "1" if you roll a six-sided dice six times?
• We throw a dice 10 times. What's the probability of getting all the six different results?
• If you roll 5 standard six-sided dice, what’s the probability that you get at least two 4s?
• Given you have rolled one die and it is a 3, what is the probability the next two dice rolled will be two additional 3’s?
• Suppose you had 5 regular dice. What are the odds of rolling a 3, 3, 4, 5, and 6?
• Suppose you had 5 regular dice. What are the odds of rolling a 2, 3, 5, 5, and a random number?
• A standard pair of six sided dice is rolled. What is the probability of rolling a sum less than or equal to 10?
• In a game, two dice are rolled per turn. On average, how many turns will a player be expected to take to get at least one 4 shown on one of the dice?
• If you roll a dice six times, what is the probability of rolling a number six?
• You roll 2 dice. What is the probability that the sum of the die is even and one shows a 3?
• Two six sided dice are rolled. What is the probability that the sum of the two dice will be an odd number?
• If three dice are rolled, what is the probability of getting a total of 18?
• Two dice are rolled. What is the probability of rolling a sum of 3?
• What is the probability that a card drawn at random from 52 cards will be a King or Queen?
• What is the probability that you draw 3 cards and you selected 3 aces from a deck of 52 cards?
• A die with 12 sides is rolled. What is the probability of rolling a number less than 11?
• In a certain town, 10% of people commute to work by bicycle. If a person is selected randomly from the town, what are the odds against selecting someone who commutes by bicycle?
• You get a mosquito bite. Is this event dependent or independent of the mosquito landing on your arm?
• A tourist in France wants to visit 10 different cities. If the route is randomly selected, what is the probability that she will visit the cities in alphabetical order?
• A study shows that approximately 25% of all businessmen who wear ties wear them so tightly that they reduce blood flow to the brain. At a board meeting of 15 businessmen, all of whom wear ties, what's the probability at least one tie is too tight?
• Sociologists say that 95% of married women claim that their husband's mother is the biggest bone of contention in their marriages. Suppose that six married women are having coffee together. What's the probability all of them dislike their mother-in-law?
• Sociologists say that 95% of married women claim that their husband's mother is the biggest bone of contention in their marriages. Suppose that six married women are having coffee together. What's the probability none of them dislike their mother-in-law?
• At a local university, 54.3% of incoming first year students have a PC. If 3 students are selected randomly, what are the probabilities that at least one has a computer?
• A student is certain of the answers to 4 questions but is totally baffled by 6 questions. If the student randomly guesses the answers to those 6 questions, what is the probability that the student will get a score of 5 or more on the test? E
• Spinning a wheel, the probability of landing in area A is .99 probability of landing in area B is .01. In 60 spins what is the probability of landing in area B?
• A multiple choice test has 30 questions, and each has four possible answers, of which one is correct. If a student guesses on every question, what is the probability of getting exactly 9 correct?
• A bag contains 20 marbles: 4 red, 6 green, 5 white and 5 black. One marble is drawn. What is P(not picking a white)?
• You don't like to match your socks up after they have been washed and toss them into your dresser. Your dresser drawer has 3 blue socks, 6 black socks, 8 brown socks, and 4 white socks. What is the probability that you will pull out a blue sock?
• A family has 5 children. The probability of having a girl is 1/2. What is the probability of having exactly 3 girls and 2 boys?
• A child rolls a 6-sided die 6 times. What is the probability of the child rolling exactly three sixes?
• A biology quiz consists of 14 multiple-choice questions. Nine must be answered correctly to receive a passing grade. If each question has 4 possible answers,what is the probability that a student who guesses at random will pass?
• In a game two fair number cubes are rolled. To make the first move, you need to roll a total of 6, 7, or 8. What is the probability that you will be able to make the first move?
• Suppose five cards are drawn from a deck. What is the probability of obtaining a flush (five cards of the same suit)?
• Suppose you select a letter from the word ALGEBRA. What's the probability of selecting two consonants? A vowel & consonant? Two vowels?
• The probability of Ann passing her math test is 90%. The probability she passes her English test is 80%. The probability she passes her Chemistry test is 70%. What is the probability she passes all three tests?
• What are some real world examples of basic probability?
• A bag contains 12 sweets, of which 5 are red, 4 are green and 3 are yellow. 3 sweets are chosen without replacement. What is the probability that he chooses no red sweets?
• A bag contains 12 sweets, of which 5 are red, 4 are green and 3 are yellow. 3 sweets are chosen without replacement. What is the probability that he chooses 1 sweet of each color?
• A class contains 5 boys and 6 girls. The teacher is told that 3 of the students can go on a school trip, and selects them at random. What is the probability that 2 boys and 1 girls are selected?
• A class contains 5 boys and 6 girls. The teacher is told that 3 of the students can go on a school trip, and selects them at random. What is the probability that 3 members of the same gender are selected?
• If I have 5 crayons (red, orange, yellow, green, blue) and I randomly choose 4, what are the chances that I do NOT choose green?
• The probability of an event E not occurring is 0.4. What are the odds in favor of E occurring?
• If the probability that an event will happen is 0.89, what is the probability of the event's complement?
• If the probability that an event will happen is 0.31, what is the probability of the event's complement?
• If the probability that an event will happen is 0.2, what is the probability of the event's complement?
• Why is it that the probability associated with an event can not be a number greater than 1 nor less than 0?
• What is the largest value of the probability of an event's occurrence?
• How do you find the theoretical probability of an event?
• How do you find the probability of an event not happening?
• How do you find the probability of an event occurring given the odds of the event?
• The probability that an event happens is 0.42. What is the probability that the event won't happen?
• When a event is reported, the probability that is a negative event is 30%. What is the probability that 3 out of 5 reported events are negative?
• The probability of an event occurring is .4. How do you find the odds in favor of the event occurring?
• How do you find the odds of an event occurring given its probability 5/8?
• How do you find the odds of an event occurring given its probability 2.1/10?
• How do you find the probability of an event given the odds of the event occurring is 2:1?
• The experimental probability that Kristen will hit the ball when she is at bat is `3/5`. If she is at bat 80 times in a season, how many times can Kristen expect to hit the ball?
• How do you find probabilities of compound events?
• How does probability differ from actuality?
• How does probability differ from odds?
• How does probability differ from statistics?
• What is the probability of throwing a 6 on a dice?
• What makes probabilities independent?
• How do overlapping events differ from mutually exclusive events?
• You make a 31% of your attempted 3-point shot. What is the probability that you miss your next attempted 3-point shot?
• What are some examples of disjoint events?
• Consider tossing a pair or fair dice two times. Is getting A = 7 on the first roll; B = 6 or less on the first roll disjoint, independent, or neither?
• Are disjoint events independent?
• What is a simple event in probability? What is a complementary event?
• Why can a disjoint event not be independent?
• If two events are complementary, are they mutually exclusive too?
• Question #19345
• An allergist claims that 50% of the patients she tested are allergic to some type of weed. What is the probability that exactly 3 of her next 4 patients are allergic to weeds?
• How do you calculate cumulative probability? If one tosses a coin 3 times, what are the odds that 1 toss will be "heads"?
• A box contains 5 red, 2 white, & 3 blue marbles. If a marble is selected at random, what is the probability that it is blue?
• A box contains 5 red, 2 white, & 3 blue marbles. If a marble is selected at random, what is the probability that it is red or white?
• A box contains 5 red, 2 white, & 3 blue marbles. If a marble is selected at random, what is the probability that it is not blue?
• A box contains 5 red, 2 white, & 3 blue marbles. If a marble is selected at random, what is the probability that it is not red?
• When a card is selected from a standard deck, what is the probability of getting a six and a spade?
• When a card is selected from a standard deck, what is the probability of getting a six and a king?
• When a card is selected from a standard deck, what is the probability of getting a six and a red card?
• If two standard number cubes are rolled 100 times, how would you predict the number of times that a sum of 7 or 11 will be rolled?
• A fair spinner has 8 equal sections with a number on each section. Five of them are even numbers. Three are odd numbers. What is the probability that I spin an even number?
• What is the difference between empirical and theoretical probability?
• According to the following results, what is the probability that a person taking this drug will experience a rise in blood pressure?
• According to the following results, what is the probability that a person taking this drug will experience a loss of sleep?
• According to the following results, what is the probability that a person taking this drug will experience both side effects?
• The owner of an apple orchard collected a sample of 40 apples. The check revealed that 32 apples contained no worms, 5 contained one worm, and 3 contained two worms. What are the odds in favor of a random apple containing exactly two worms?
• What careers use probability?
• A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that both will fail?
• A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that neither will fail?
• A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that one or the other will fail?
• One card is selected at random from a standard 52-card deck of playing cards. What is the probability that the card selected is not a spade?
• A box of chocolates contains 20 identically shaped chocolates. 5 of them are filled jelly, 3 are filled with caramel and 12 are filled with nuts. What is the probability that one chocolate chosen at random is filled with jelly, caramel or nuts?
• What is the empirical probability of rolling a sum of 9 with two dice?
• What is the empirical probability of flipping 4 coins and getting 4 tails?
• Question #518b1
• Given the probability p=0.15 that an event will not happen, how do you find the probability that the event will happen?
• A box contains 11 marbles, 7 red, and 4 green. Five of these marbles are removed at random. If the probability of drawing a green marble is now 0.5, how many red marbles were removed?
• Mrs. Phillips has 10 identical cans without labels. She knows that she had 1 can of peas, 5 cans of corn, 1 can of carrots, and 3 cans of beets. She opens one can. What is the probability it is carrots?Corn or beets?
• Question #06988
• Question #397e3
• A class has 50 women and 82 men. If a student is picked at random, what's the probability of picking a woman?
• Question #f3cab
• A bag contains 26 tiles, each marked with a different letter of the alphabet. What is the probability of being able to spell the word math with four randomly selected tiles that are taken from the bag all at the same time?
• The digits 3, 4, 5, 6 and 7 are randomly arranged to form a three-digit number. Digits are not repeated. What is the probability that the number is even and greater than 700?
• Question #e6652
• What is the probability of sitting 5 girls and 5 boys alternatively in a row ?
• There are 6 balls, all uniquely coloured, in a bag. We're randomly drawing 2. How many ways can we draw first Blue, then White? How many ways can we draw the colour combination of Blue and White?
• Question in probability ( is in the image)?
• Robert is writing a test with 20 multiple choice questions, each with 4 possible answers. If he selects his answers by random guessing, how many questions is he expected to answer correctly?
• Thirteen out of 20 emails in your inbox are junk emails. What is the experimental probability that your next email is junk?
• If 3 out of 7 people are smokers and 4 out of 15 people are smokers who will get lung cancer, what is the probability of getting lung caner if you are a smoker?
• In how many ways can one get a sum greater than `8`, if two cubes, having numbers `1` to `6` are rolled?
• The probability of event `A` occurring is `p`. If `A` doesn't occur, that is event `a`. What is the probability of the following occurring: `A A, aa, Aa`?
• How many different ways can you get two heads and two tails in four tosses of a fair coin?
• When rolling a fair, six-sided die, what is the probability of getting a number higher than 2?
• I have 5 red marbles and 3 green in a bag. What is the probability of randomly drawing a green one?
• What is the probability that a randomly selected tourist visited the museum, given that the tourist did not visit the zoo?
• What is the probability that the person visited the gift shop, given that the person did not watch the film?
• Bill rolls a fair number cube 20 times. What is the probability that 10 of his results are multiples of 3?
• Is my answer correct?
• What is the probability that Shironda rolls a 5 on the number cube and then chooses a 5 from the deck?
• What is the probability that the pass is a daily pass?
• If you flip a fair coin 4 times, what is the probability that you will get exactly 2 tails?
• A bag contains 10 marbles. There are 5 green, 2 red, and 3 yellow. What is the probability of selecting a green marble?
• A bag has 9 red marbles and 6 green marbles. How do you find the probability of drawing a green marble, replacing it, and drawing another green marble?
• A fruit bowl contains 4 green apples and 7 red apples. What is the probability that a randomly selected apple will be green?
• A spinner has 5 equal sections marked 1 through 5. What is the probability of not landing on 4?
• Using an unfair die, where rolling even is three times higher than of rolling odd, what is the probability of rolling a 5 given we've rolled an odd number?
• When picking a random card from a standard deck, what is the probability of drawing a card that is less than a 10 (and so not K, Q, J, 10)?
• What is the probability that a card chosen at random from a standard deck of cards will be a number card?
• Question #fcd0d
• Suppose you roll two die. What is the probability of rolling a seven?
• Question #a8b26
• A fair 6-sided die is rolled 4 times. What is the probability of rolling exactly three prime numbers?
• Question #19d49
• You roll a standard number cube. What is P(number greater than 2?
• If the radius of the shaded center circle is 2 and the radius of the entire dartboard is 4, what is the probability of throwing a dart and hitting the white part of the board? Round your answer to the nearest whole number.
• Two urns contain white balls and yellow balls. The first urn contains 2 white balls and 7 yellow balls and the second urn contains 10 white balls and 4 yellow balls. A ball is drawn at random from each urn. What is the probability that both balls are w?
• Suppose S and T are mutually exclusive events. Find P(S or T) if P(S) = 8/9 and P(T) =1/10?
• Question #96e2f
• Question #122b7
• Noah has a bag of 30 marbles. Of these marbles 8 are blue, 9 are red, and the rest are clear. What is the probability that a marble taken from the bag will not be red?
• A single die is rolled one time. What is the probability of rolling a number greater than 5 or less than 3?
• If there are 13 clubs in a deck of 52 cards, then what is the probability that a card drawn at random will be a club?
• Suppose S and T are mutually exclusive events. Find P(S or T) if P(S) = 1/3 and P(T) = 5/12?
• Suppose a bag contains 7 blue chips and 3 gold chips. What the probability randomly choosing a gold chip, not replacing it, and then randomly choosing another gold chip?
• If you a draw a card from a standard deck of 52 cards, what is the probability that the card will be an odd number?
• Three fair coins are tossed. If all three coins show heads, then the player wins $15. If all three coins show tails, then the player wins $10. If it costs $5 to play the game, what is the player's expected net gain or loss at the end of two games?
• A standard number cube is tossed. What is the probability that the number will be less than or equal to 3?
• What is the probability of rolling a 4 on a number cube?
• If the die is rolled 300 times, how many times would you predict a roll of a 1 or a 6?
• You roll a standard number cube. How do you find P(number greater than 3)?
• What is the probability of rolling a fair die and not getting an outcome less than 2?
• What is the probability of rolling doubles on a pair of dice?
• If `P(A) = 1/2` and `P(B) = 8/9` what is P(A and B)?
• Question #7d52b
• There are 5 red pens, 3 blue pens and 2 green pens in a box. Gary takes at random a pen from the box and gives the pen to his friend. He then takes at random another pen the box. What's the probability that both pens are the same colour?
• A small pond contains five catfish and four bluegill. If five fish are caught at random, what is the probability that all of them are catfish?
• You roll a 6-sided die two times. What is P(greater than 3, divisor of 24)?
• A bag contains these granola bars: 12 apple, 14 peanut butter, 18 raisin, and 10 oatmeal. You pick one bar at random. What is the probability of picking a peanut butter granola bar?
• Two balls are drawn from a bag containing 5 white and 7 black balls at random. What is the probability that they would be of different colours?
• You flip a coin and roll a dice. What is the probability the coin lands on heads and the dice lands on a number less than 5?
• If a single card is drawn from an ordinary deck of cards, what is the probability of drawing a jack, queen, king, or ace?
• A single letter from the word MISSISSIPPI is chosen. What is the probability of choosing an S or a P?
• Two six sided dice are rolled. What is the probability that the sum is a prime number?
• Two six sided dice are rolled. How do you find the probability that the sum is 3 or 4?
• In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 28 vowels and 12 consonants, what is the probability you will choose a consonant and then a vowel?
• Suppose you choose marble from a bag containing 2 red marbles, 5 white marbles, and 3 blue marbles. You return the first marble to the bag and choose again. How do you find P(red then blue)?
• How do you find the probability of getting a red face card in a deck of 52 cards?
• What is the probability of rolling a prime number on a 12 sided dice numbered 1 to 12?
• Question #d30a5
• How many license plates can be made consisting of 2 letters followed by 3 digits (using the fundamental counting principle to solve)?
• Probability questions?
• A box is filled with 6 brown cards, 6 yellow cards, and 2 blue cards. A card is chosen at random from the box. What is the probability that it is a brown or a blue card?
• The faces of a number cube are numbered 1 through 6. Event A = rolling a 2, 4, or 6. What is the complement of event A?
• There are 10 students in a classroom, including the triplets Hugh, Stu, and Lou. If 3 of the 10 are randomly selected to give speeches, what is the probability that Hugh will be first, Stu will be second and Lou will be third?
• What is the probability that the sum of the two dice is greater than or equal to 8?
• Question #51890
• A bakery has 3 cookies and 30 other baked goods for sale. What is the probability that a randomly selected baked good will be a cookie?
• Question #99f41
• If we roll a fair number cube, what is the probability of a 5 being rolled, given that we know an odd number has been rolled?
• Question #838ba
• From a well shuffle pack of 52 cards . A card is drawn what is the probabilty that the card is king of daimond?
• Question #b7356
• If an unbiased die is thrown, what is the probability that it will show a 3 or an even number?
• If you have a new deck of shuffled cards, what is the probability you will choose a red card? (52 cards, no jokers)
• Help me please?
• Can someone help me answer this question?
• A garden store recently sold 511 seed packets, including 146 pepper seed packets. What is the experimental probability that the next seed packet sold will be a pepper seed packet?
• Can someone help me solve this statistics question?