Mathematics - Probability Question with Solution | TestHub

Given three indentical bags each containing 10 balls, whose colours are as follows :
$\begin{array}{cccc}& \text{Red}& \text{Blue}& \text{Green}\\ \text{Bag I}& 3& 2& 5\\ \text{Bag II}& 4& 3& 3\\ \text{Bag III}& 5& 1& 4\end{array}$
A person chooses a bag at random and takes out a ball. If the ball is Red, the probability that it is from bag I is p and if the balls is Green, the probability that it is from bag III is q , then the value of $\left(\frac{1}{\mathrm{p}}+\frac{1}{\mathrm{q}}\right)$ is :