FINITE PROBABILITY MATH QUESTION PLEASE HELP

Question

Suppose that a family has 8 children.​ Also, suppose that the probability of having a boy is 1/2. Find the probability that the family has at least 7 boys.

Answer 1

Hello Luke!

The probability of having at least seven boys is the probability of having 7 boys plus the probability of having 8 boys, which is:

(1/2)⁷*(1/2) + (1/2)⁸ = 2/256 = 1/128