John is going to pack 2 T-shirts for basketball practice. He has 2 White shirts, 3 blue shirts, 1 green shirt, and 3 black shirts in her drawer. If John chooses the 2 shirts at random, What is the probability that he will pack 2 blue T-shirts?

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2 Answers
Apr 6, 2018

There is a #1/12# chance of John packing 2 blue shirts for basketball practice.

Explanation:

                      Probability is calculated by having

#"The number of events that you get what you want"/"The possible number of outcomes"#

Now since John is picking 2 shirts, there are 2 probabilities that depend on each other because once John picks a shirt, it is no longer a possible outcome.

So our first probability is #3/9# because there are 3 blue shirts and 9 shirts in total and our second probability is #2/8# because if he does get that first blue shirt, there will only be 2 blue shirts and 8 shirts in total.

When you want to find the probability of 2 events, you must multiply the probabilities of each event with each other. Therefore our final equation is #3/9# x #2/8# which equals #6/72# which simplifies down to #1/12#.

Apr 7, 2018

#1/12to(C)#

Explanation:

#"the total number of shirts "=2+3+1+3=9#

#"Probability is calculated using the formula"#

#"probability "="possible number of favourable outcomes"/"total count"#

#"here the total count "=9#

#"favourable outcome is a blue shirt"#

#P("blue shirt")=3/9=1/3#

#"there is no replacement s there are now 2 blue shirts and"#
#"the count is 8"#

#P("second blue shirt")=2/8=1/4#

#P("2 blue shirts")=1/3xx1/4=1/12to(C)#