Question

A family has 19 children. Assume boys and girls are equally likely and that the gender...

A family has 19 children. Assume boys and girls are equally likely and that the gender of one child does not affect the gender of another child. Find the following probabilities:

a) The probability of the family having no girls.

b) The probability of the family having exactly nine girls.

c) The probability of the family having exactly seven boys.

(Please show all work.)

Math   Statistics-And-Probability   
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Answer #1

n=15
Let the probability of success is the probability of having a girl (p)=0.5

a)

b)

c)
The probability of having Seven boys is same as the probability of having 12 girls.

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