Mathematics - Probability Question with Solution | TestHub

In a bag there are 15 balls of either red or green colour. Let ${\mathrm{G}}_{\mathrm{k}}$ be the event that it contains exactly k green balls and its probability is proportional to ${\mathrm{k}}^2$. Now a ball is drawn at random. Let $\mathrm{P}(\mathrm{A})$ be the probability that the ball drawn is green. If $\mathrm{P}(\mathrm{A})=$ p/q in lowest form then $\mathrm{q}-\mathrm{p}$ is