Two bags, A and B, each contain balls which are either red or yellow or green. Bag A contains 4 red, 3 yellow and n green balls. Bag B contains 5 red, 3 yellow and 1 green ball. A ball is selected at

Two bags, A and B, each contain balls which are either red or yellow or green.

Bag A contains 4 red, 3 yellow and n green balls.Bag B contains 5 red, 3 yellow and 1 green ball.

A ball is selected at random from bag A and placed into bag B.A ball is then selected at random from bag B and placed into bag A.

The probability that bag A now contains an equal number of red, yellow and green balls is p.

Give that p>0, find the possible values of n and p.