One compartment of a purse contains three 25 paisa coins and 2 one rupee coins and the other compartment contains two 25 ps. coins and 3 one rupee coins. The probability of drawing a rupee coin from the purse is

$25ps.coins1Rs.coins$

$Compartment1:32$

$Compartment2: 23$

$i.eP\left(R\right)=P\left(C_1\right)\cdot P\left(\frac{{\displaystyle R}}{{\displaystyle C_1}}\right)+P\left(C_2\right)\cdot P\left(\frac{{\displaystyle R}}{{\displaystyle C_2}}\right)$

$=\frac{1}{2}\cdot \frac{2}{5}+\frac{1}{2}\cdot \frac{3}{5}=\frac{5}{10}=\frac{1}{2}$