4
QuizMultiple Choice

Topic Test

Question 4 • Applications and Modeling

In a family with eight children, what is the probability that exactly six are boys?

Answer
A
7168
B
28
C
0.109375
D
0.015625

Explanation

Assuming each child is equally likely to be a boy or a girl, there are 2⁸ = 256 equally likely outcomes. The number of ways to have exactly 6 boys among 8 children is ⁸C₆ = 28, so the probability is 28/256 = 0.109375. The correct choice is 0.109375.

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