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COMEDK2022MathematicsProbability

If A, B and C are three mutually exclusive and exhaustive events such that P(A)=2 P(B)=3 P(C) . What is P(B) ?

Options

  1. A6 11
  2. B6 22
  3. C1 6
  4. D1 3

Correct answer

B. 6 22

Step-by-step solution

Let P(A) = 2P(B) = 3P(C) = k P(A) = k, P(B) = k 2 , P(C) = k 3 Since exhaustive: P(A)+P(B)+P(C) = 1 k + k 2 + k 3 = 1 11k 6 = 1 k = 6 11 P(B) = k 2 = 6 22 = 3 11 Correct option: (2)

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