First slide

Theorems of probability

Question

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

Easy

A

$\frac{1}{16}$
B

$\frac{3}{16}$
C

$\frac{13}{16}$
D

$\frac{15}{16}$

Solution

$P (a t l e a s t o n e b o y) = 1 - P (n o b o y)$
$= 1 - \frac{1}{2^{4}} (a l l a r e g i r l s)$

$= 1 - \frac{1}{16} = \frac{15}{16}$

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