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KCET2020MathematicsTrigonometric Ratios & Identities

The probability of solving a problem by three persons A, B and C independently is 1 2 , 1 4 and 1 3 respectively. Then the probability of the problem is solved by any two of them is

Options

  1. A1 12
  2. B1 4
  3. C1 24
  4. D1 8

Correct answer

B. 1 4

Step-by-step solution

Given, P(A)= 1 2 , P(B)= 1 4 , P(C)= 1 3 P( A )= 1 2 , P( B )= 3 4 , P( C )= 2 3 Required probability =P(A B C )+P(A B C)+P( A B C) aligned &= 1 2 1 4 2 3 + 1 2 3 4 1 3 + 1 2 1 4 1 3 &= 2+3+1 24 = 6 24 = 1 4 aligned

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