In: Statistics and Probability
How many different three-child families are possible if birth order is taken into account? What is the probability of a three-child family with three girls?
B = sample space of 3 child family
B = {(G1, G2, G3), (G1, G2, B3), (G1, B2, G3), (B1, G2, G3), (B1, B2, G3), (B1, G2, B3), (G1, B2, B3), (B1, B2, B3)}
N(B) = 8
There are different three child families are possible.
A = Family with 3 girls
A = {(G1, G2, G3)}
n(A) = 1
Probability(three-child family with 3-girls) = p(A)
= n(A)/n(B)
= 1/8
Probability of a three-child family with three girls is 1/8.
Probability of a three-child family with three girls is 1/8.