The Odds of Boys to the Girl in USA is 1 04 to 1 i e Odds B

The Odds of Boys to the Girl in USA is 1. 04 to 1, i. e. Odds (B) = 104/100, Find the probability that the USA family having exactly 6 children will have at least 3 boys? (Give your answer conventionally rounded to 4 decimal places if necessary)

Solution

Probability of atmost 4 girls means P(X<=4).

P(X<=4)=P(X=1)*P(X=2)*P(X=3)*P(X=4)= 1/6*2/6*3/6*4/6=0.167*0.333*0.5*0.667=0.0185