Question

In a certain Algebra 2 class of 27 students, 11 of them play basketball and 13 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?

Answer 1

The probability that a student chosen randomly from the class plays basketball or baseball is 19/27.

Step-by-step explanation:

To find the probability that a student chosen randomly from the class plays basketball or baseball, we need to find the number of students who play basketball or baseball, and divide it by the total number of students in the class.

Given that 11 students play basketball, 13 students play baseball, and 5 students play neither sport, we can calculate the probability as follows:

1. Number of students who play basketball or baseball = Number of students who play basketball + Number of students who play baseball - Number of students who play both sports
2. Number of students who play both sports = Total number of students - Number of students who play neither sport
3. Probability = Number of students who play basketball or baseball / Total number of students

Substituting the given values, we get:

Probability = (11 + 13 - (27 - 5)) / 27

Probability = 19/27

Therefore, the probability that a student chosen randomly from the class plays basketball or baseball is 19/27.