Q. 11

In a competition A, B and C are participating. The probability that A wins is twice that of B, the probability that B wins is twice that of C . Find the probability that A losses.

Answer :

Given P(A)=2 P(B)

P(B)=2 P(C)


P(A)=2(2P(C))


=4P(C)


By definition we know,


P(A) +P(B)+ P(C)=1


4P(C) + 2P(C) +P(C) =1


7P(C)=1


P(C)=


Therefore P(A) = 4 P(C)




P(A loses)



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