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.

Question

Philoid · Accepted 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)