SOLUTION: A household with three children is selected randomly. The children are reported according to their gender and serial number of their birth. What is the probability that the househo

Question 854698: A household with three children is selected randomly. The children are reported according to their gender and serial number of their birth. What is the probability that the household has 2 boys. Show the calculation.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi,

three children: p(boy) = 1/2, p(girl) = 1/2

May use Binomial Distribution Formula: 

P(x = 2 boys) =       |Note 3C2 = 3

Or counting

Note: 3 possible outcomes for the order 2 boys were born, P = 1/8 for each of them

GBB

BGB

BBG

P(x = 2 boys) = 

 

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