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If A , B , C are three events such that P B = 4 5 , P A ∩ B ∩ C c = 1 4 and P A c ∩ B ∩ C c = 1 3 , then P B ∩ C is equal to

Options

  1. A11 60
  2. B1 5
  3. C13 60
  4. D1 4

Correct answer

C. 13 60

Step-by-step solution

From set theory P B = P A ∩ B ∩ C c + A c ∩ B ∩ C c + P B ∩ C 4 5 = 1 4 + 1 3 + P B ∩ C ⇒ P B ∩ C = 4 5 - 1 4 - 1 3 = 48 - 15 - 20 60 = 13 60

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