3. In a certain race there are three boys A, B, C. The winning probability of A is twice than B and the winning probability of B is twice than C. If P(A) + P(B) + P(C) = 1, then find the probability of each boy.
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Let probability of C winning = X
Probability of B=2X
Probability of A=2B
Probability of A=2*(2X)=4X
4X+X+2X=1
X=1/7
A=4/7
B=2/7
C=1/7
(As, any one of 3 would win sum of all 3 probabilities = 1)
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