SOLUTION: If a couple decides to have 8 children, what is the probability they will have 3 boys and 5 girls?

Question 1126886: If a couple decides to have 8 children, what is the probability they will have 3 boys and 5 girls?
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
The probability of having a boy or girl is 50% = 1/2
:
use the binomial probability formula
:
Probability (k successes out of n trials) = nCk * p^k * (1-p)^(n-k), where nCk = n!/(k! * (n-k)!))
:
let n = 8, k = 3, p = 1/2
:
Probability (3 boys out of 8 children) = 8C3 * (1/2)^3 * (1 - (1/2))^(8-3) = 0.21875
:

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