A statistics class at Wilmington College has 25 students of which 15 are math majors and 10 are business majors. The professor randomly selects five students to work together on a group project. What is the probability that none of the students in this group are business majors?
A)0.1007
B)0.0565
C)0.0230
D)0.1436

Question

Quizplus · Accepted Answer

The probability that none of the students are business majors is calculated by choosing all 5 students from the 15 math majors. The number of ways to choose 5 students from 15 is C(15,5), and the total number of ways to choose 5 students from 25 is C(25,5). The probability is C(15,5) / C(25,5) = 3003 / 53130 ≈ 0.0565.

A Statistics Class at Wilmington College Has 25 Students of Which