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In a certain Algebra 2 class of 26 students, 5 of them play basketball and 12 of them play baseball. There are 12 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?

Respuesta :

Answer:[tex]\dfrac{7}{13}[/tex]

Step-by-step explanation:

There are only two games basketball and baseball.

Any student who plays could play basketball or baseball.

Given that there are [tex]26[/tex] students in total.

Given that there are [tex]12[/tex] students who don't play any game at all.

So,there are [tex]26-12=14[/tex] students who play play some baseball or basketball.

[tex]Probability=\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}[/tex]

The required probability is [tex]\frac{14}{26}=\frac{7}{13}[/tex]

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