SOLUTION: Three boys play a game, a luck in which their respective changes of winning are 1/2, 1/3 and 1/4. What is the probability that one and only of the boys wins the game?

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Question 857465: Three boys play a game, a luck in which their respective changes of winning are 1/2, 1/3 and 1/4. What is the probability that one and only of the boys wins the game?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Calculate the probability that only one of the boys wins with the other two losing.
P%28B1%2CW%29=1%2F2
P%28B1%2CL%29=1%2F2
P%28B2%2CW%29=1%2F3
P%28B2%2CL%29=2%2F3
P%28B3%2CW%29=1%2F4
P%28B3%2CL%29=3%2F4


P=%286%2F24%29%2B%283%2F24%29%2B%282%2F24%29
P=11%2F24