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MHT CET2012MathematicsProbability

The odds against solving a problem by A and B are 3: 2 and 2: 1 respectively, then the probability that the problem will be solved, is

Options

  1. A3 5
  2. B2 15
  3. C2 5
  4. D11 15

Correct answer

A. 3 5

Step-by-step solution

Given, P(A)= 3 2+3 = 3 5 , P(B)= 2 2+1 = 2 3 and P( A )=1- 3 5 = 2 5 , P( B )=1- 2 3 = 1 3 Required probability array l =P(A B )+P( A B)+P( A B ) =P(A) P( B )+P( A ) P(B)+P( A ) P( B ) = 3 5 1 3 + 2 5 2 3 + 2 5 1 3 = 1 5 + 4 15 + 2 15 = 3+4+2 15 = 9 15 = 3 5 array

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