Given three indentical bags each containing 10 balls, whose colours are as follows: A person chooses a bag at random and takes out a ball. If the…

Given three indentical bags each containing $\displaystyle 10$ balls, whose colours are as follows :

	Red	Blue	Green
Bag I	$\displaystyle 3$	$\displaystyle 2$	$\displaystyle 5$
Bag II	$\displaystyle 4$	$\displaystyle 3$	$\displaystyle 3$
Bag III	$\displaystyle 5$	$\displaystyle 1$	$\displaystyle 4$

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 ball is Green, the probability that it is from bag III is q, then the value of $\displaystyle \left(\frac{1}{\mathrm{p}}+\frac{1}{\mathrm{q}}\right)$ is :