First slide

Theorems of probability

Question

The probability that in a family of five children, there will be atleast one boy is

Easy

A

_{$\frac{31}{32}$}
B

_{$\frac{1}{32}$}
C

_{$\frac{5}{32}$}
D

_{$\frac{27}{32}$}

Solution

$\frac{2^{n} - 1}{2^{n}} = \frac{2^{5} - 1}{2^{5}} = \frac{31}{32}$
_{Probability that atleast one boy=1-(probability that all are girls)}

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