First slide

Theorems of probability

Question

The probability that in a family of 5 children there will be atleast a girl is

Easy

A

$\frac{1}{32}$
B

$\frac{3}{32}$
C

$\frac{29}{32}$
D

$\frac{31}{32}$

Solution

$n (S) = 2^{5} = 32$
$P (a t l e a s t o n e g i r l)$ = $1 - P (n o g i r l)$

= $1 - P (a l l a r e b o y s)$

= $1 - \frac{1}{32} = \frac{31}{32}$

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