December 31st, 2008, 08:30 AM
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 | Wesnoth Rookie | | Join Date: Dec 2007 Location: IISc, Bangalore
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 mathaddict, Quote:
Originally Posted by mathaddict  A and B plays chess everyday . The probability that A beats B in any game is twice the probability that B beats A . The probability that B beats A is three times the probability that the game ends in a draw . What is the probability that the game ends in a draw ?
My working :
P(A wins ) = 2(1- P(A wins ))
P(A wins ) = 2/3 | P(B wins) is not equal to 1- P(A wins). This is because you have to also consider the possibility of a draw.
Thus P(B wins) = 1- P(A wins ) - P(draw).
So work out the exercise again, carefully...
Good Luck 
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Algebra is the offer made by the devil to the mathematician. The devil says: `I will give you this powerful machine, it will answer any question you like. All you need to do is give me your soul: give up geometry and you will have this marvellous machine.'
—Michael Atiyah
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