in a certain algebra 2 class of 25 students, 15 of them play basketball and 7 of them play baseball. there…

in a certain algebra 2 class of 25 students, 15 of them play basketball and 7 of them play baseball. there are 8 students who play neither sport. what is the probability that a student chosen randomly from the class plays basketball or baseball?

in a certain algebra 2 class of 25 students, 15 of them play basketball and 7 of them play baseball. there are 8 students who play neither sport. what is the probability that a student chosen randomly from the class plays basketball or baseball?

Answer

Explanation:

Step1: Find number of students who play either sport

Total students are 25 and 8 play neither. So number of students who play either sport is $25 - 8=17$.

Step2: Calculate the probability

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, favorable outcomes are students who play basketball or baseball (17) and total number of students is 25. So probability is $\frac{17}{25}$.

Answer:

$\frac{17}{25}$