Solve the problem.
-Suppose that a student group consists of 10 females and 8 males. What is the probability that a committee of 4 people chosen at random will consist of only females?
A) 0.222
B) 0.4
C) 0.069
D) 0.05

Question

Quizplus · Accepted Answer

The probability of choosing a committee of 4 females from a group of 10 females and 8 males is calculated using combinations. The total number of ways to choose 4 people out of 18 is $C(18, 4)$. The number of ways to choose 4 females out of 10 is $C(10, 4)$. The probability is the ratio of these two, which is $\frac{C(10, 4)}{C(18, 4)} = \frac{210}{3060} = 0.0686$, rounding to three decimal places gives 0.069.

Solve the Problem. -Suppose That a Student Group Consists of 10 Females and 10