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Suppose that the probability of having a boy or a girl is 50%. Answer the following questions:What is the probability exactly one of a family’s 5 children is a boy? What is the probability exactly one of your 5 children is a boy given that at least 4 of them are girls

Question

Suppose that the probability of having a boy or a girl is 50%. Answer the following questions:

What is the probability exactly one of a family’s 5 children is a boy?
 

What is the probability exactly one of your 5 children is a boy given that at least 4 of them are girls

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Step 1

Calculation:

 It is given that the probability of having a boy or a girl is 50%. Thus, the probability of having a boy (or girl) is 0.50. The random variable X, selected chil...

Has0a-0.50)
50)'(1-0.50)
P(X1)
=5(0.50)
=0.15625
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Has0a-0.50) 50)'(1-0.50) P(X1) =5(0.50) =0.15625

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