Question

A box contains 5 brown and 4 white socks. A man takes out two socks. The probability that they are of the same colour is

पर्याय

• ${\displaystyle \frac{1}{6}}$

• ${\displaystyle \frac{5}{108}}$

• ${\displaystyle \frac{5}{18}}$

• ${\displaystyle \frac{4}{9}}$

Answer 1

${\displaystyle \frac{4}{9}}$

Explanation:

Required probability = ${\displaystyle \frac{{}^5{C}_2+{}^4{C}_2}{{}^9{C}_2}}$

= ${\displaystyle \frac{10+6}{36}=\frac{16}{36}=\frac{4}{9}}$