If boys and girls are equally likely to be born, what is the probability that in a randomly selected family of 6 children, there will be at least one boy? (Find the answer using a formula. Round your answer to three decimal places.)

1 answer

Binomial distribution

find probability of zero boys P(0)
answer is 1 - P(0)

n = 6

p = .5 and 1-p = .5

P(0) = C(6,0) (.5)^0 (.5^6)
coef for any n,0 = 1
so
P(0) = .5^6 = .0156
1-P(0) = .984