Question

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?

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?

 

 

Solutions

Expert Solution

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.

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