# Birth

Let's assume that the probability of the birth of a boy and a girl in the family is the same. What is the probability that in a family with five children, the youngest and oldest child is a boy?

Result

p =  0.25

#### Solution:

$p_{1}=p_{2}=\dfrac{ 1 }{ 2 }=0.5 \ \\ \ \\ p=0.5 \cdot \ 1 \cdot \ 1 \cdot \ 1 \cdot \ 0.5=0.25=\dfrac{ 1 }{ 4 }$

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