SOLUTION: Assume the probability of having a boy is 50% and a girl is 50%. If a family has four children, what is the probability the family has at least two girls? Please show all work. Th

Algebra ->  Probability-and-statistics -> SOLUTION: Assume the probability of having a boy is 50% and a girl is 50%. If a family has four children, what is the probability the family has at least two girls? Please show all work. Th      Log On


   



Question 534028: Assume the probability of having a boy is 50% and a girl is 50%. If a family has four children, what is the probability the family has at least two girls? Please show all work. Thanks!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the probability of having a boy is 50% and a girl is 50%. If a family has four children, what is the probability the family has at least two girls? Please show all work.
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P(2 girls) = 4C2(1/2)^2*(1/2)^2 = 6/16
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P(3 girls) = 4C3(1/2)^2*(1/2) = 4/16
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P(4 girls) = 4C4(1/2)^4 = 1/16
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P(2<- x <= 4) = 11/16
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Cheers,
Stan H.