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AP EAMCET2001MathematicsProbability

In a competition A, B, C are participating the probability that A wins is twice that of B , the probability that B wins is twice that of C , then probability that A loses is

Options

  1. A1 7
  2. B2 7
  3. C4 7
  4. D3 7

Correct answer

D. 3 7

Step-by-step solution

Let P(C)=p , then P(B)=2 p, P(A)=2(2 p)=4 p Given that, P(A)+P(B)+P(C)=1 aligned & & 4 p+2 p+p+1 & & p= 1 7 & & P(A)= 4 7 & & P( A )=1- 4 7 = 3 7 aligned Thus, the required probability is 3 7 .

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