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In a certain Algebra 2 class of 30 students, 11 of them play basketball and 23 of them play baseball. There are 3 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

Respuesta :

TheRealAera

Answer:

7/30

Step-by-step explanation:

For these types of problems, I recommend drawing venn diagrams for better visualization.

If 3 students don't play any sport, then we know know that 30-3 = 27 students play basketball or baseball.

Since 11 play basketball and 23 play baseball, we would think that 34 play basketball or baseball. However, since there are only 27 students, 34-27 = 7 students must play both sports.

Thus, the probability is 7/30 or 23.33%

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