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In a certain Algebra 2 class of 27 students, 5 of them play basketball and 12 of them play baseball. There are 2 students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?

Apr 28, 2020

#1
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Draw a Venn Diagram      12 students do not play those sports    15 students DO play those sports

15 out of 27       15/27

Apr 28, 2020
#2
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Since 2 students play both sports, 3 students play only basketball and 10 play only baseball.

There is a problem with the word "or". It has two separate meanings (each one ccan be correct).

There is an "exclusive or" that means either one or the other but not both.

In this case, there are 13 students who play basketball or baseball (but not both).

Probability:  13/27

There is an "inclusive or" that means one or the other or both.

In this case, there are 15 students who play basketball or baseball (and perhaps both).

Probability:  15/27.

Which answer is correct? Until the person who asks the question tells you which "or" they intend, you don't know.

Apr 28, 2020