Probability HELP
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
Given that p > O, find the possible values of n and p.
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
Given that p > O, find the possible values of n and p.
Original post by Aeshakhan
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
Given that p > O, find the possible values of n and p.
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
Given that p > O, find the possible values of n and p.
If you've not been able to do anything so far, I'd start by considering if A now contains an equal number of each colour, what are the possibilities of that number, and continue from there.
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