Assume that the gender distribution of babies is such that one-half the time females are born and one-half the time males are born. In a family of 3 children, what is the..

Assume that the gender distribution of babies is such that one-half the time females are born and one-half the time males are born. In a family of 3 children, what is the probability that all are girls? In a family of 4? Is it unusual that in a family with 4 children all would be girls? In a family of 5?

Expert Solution

Given that the probability that male born = 1/2

And

The probability that female born = 1/2

In a family of 3 children,

Probability that all are girls = 1/2∙1/2∙1/2∙

= 0.125

In a family of 4 children,

Probability that all are girls = 1/2∙1/2∙1/2∙1/2

= 0.0625

In a family of 5 children,

Probability that all are girls = 1/2∙1/2∙1/2∙1/2∙1/2

= 0.03125

Nabeel answered 1 year ago

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