Multiplication Rule Statistics Probability Multiplication Rule Questions You flip a coin and roll a die. What is the probability that you obtain a head on the coin and a 2 on the die? You draw a card from a standard deck, and you put the drawn card back in the deck after each draw. If you repeat this procedure 4 times, what is the probability that you draw a Diamond all 4 times? The Birthday Problem is a famous statistical problem that tells us that there is about a 50% chance that, out of just 23 people in a room, at least two of them will share the same birthday (month and day). How is the multiplication rule used to calculate this probability? Use your common sense to answer this question. Are the events "Rain" and "Having a Car Accident" independent or dependent? How do you evaluate #(10!)/(4!)#? A player's batting average in softball is .400. What is the probability he gets 3 hits in his next 5 at-bats? A player's batting average in softball is .400. What is the probability he gets 0 hits in his next 6 at-bats? Suppose that you take a 20 question multiple-choice quiz by guessing. Each question has exactly one correct answer of the four alternatives given. What is the probability of getting all 20 questions correctly? Suppose that you take a 20 question multiple-choice quiz by guessing. Each question has exactly one correct answer of the four alternatives given. What is the probability of getting all 20 questions incorrectly? How do you combine probabilities? The probability that a man will be alive in 25 years is 3/5, and that the wife will be alive in 25 years is 2/3. What's the probability that in 25 years, both will be alive? Question #6b33e In a single roll of a six-sided dice, what is the probability of rolling a three or an even number? A dice has 6 faces. 2 faces are colored in blue, 3 faces are colored in red and 1 is green. The dice is rolled 4 times. What is the probability of the dice to show: a) blue, red, red, green (in this order); b) The same colors but in any order? Probability View all chapters Basic Probability Concepts Combinations and Permutations Addition Rule Multiplication Rule Conditional Probability Venn Diagrams and Tree Diagrams Two-Way Tables Prev Next