Question

In a certain Algebra 2 class of 28 students, 23 of them play basketball and 12 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?

Answer 1

To find the probability that a student chosen randomly from the class plays both basketball and baseball, we need to use the formula for conditional probability. The conditional probability that a student plays both basketball and baseball given that they are in the class is equal to the number of students who play both sports divided by the total number of students in the class.

Step-by-step explanation:

To find the probability that a student chosen randomly from the class plays both basketball and baseball, we need to use the formula for conditional probability. The conditional probability that a student plays both basketball and baseball given that they are in the class is equal to the number of students who play both sports divided by the total number of students in the class.

Let's calculate the probability:

The number of students who play basketball and baseball is the intersection of the two sets, which is 23.

The total number of students in the class is 28.

The probability is 23/28,

Answer 2

10/28

Step-by-step explanation:

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