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Let A , B , C be three events and A - , B - , C - be their corresponding complementary event. If the probabilities of events B ,   A ∩ B ∩ C - and A - ∩ B ∩ C - are 5 6 , 1 2 and 1 4 respectively, then the probability of the event B ∩ C is

Options

  1. A1 12
  2. B1 4
  3. C1 6
  4. D1 3

Correct answer

A. 1 12

Step-by-step solution

From the venn diagram, note that P B = P B ∩ C + P A ∩ B ∩ C - + P A - ∩ B ∩ C - Hence, P B ∩ C = 5 6 - 1 2 - 1 4 = 1 12

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