Question

in a certain algebra 2 class of 24 students, 16 of them play basketball and 7 of them play baseball. there are 5 students who play neither sport. what is the probability that a student chosen randomly from the class plays basketball or baseball?

Explanation:

Step1: Find number of students who play either sport

Total students = 24, students who play neither = 5. So number of students who play either sport is $24 - 5=19$.

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 (19) and total number of students is 24. So probability is $\frac{19}{24}$.

Answer:

$\frac{19}{24}$