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If P(A) = 1/3 , P(B) = 1/2 and P(A B) = 1/4 , then what is the value of P( A B) ?

Options

  1. A7/12
  2. B2/3
  3. C3/4
  4. D11/12

Correct answer

D. 11/12

Step-by-step solution

Using De Morgan's laws, P( A B) = 1 - P(A B ) P(A B ) = P(A) - P(A B) Substituting the given values: P(A B ) = 1 3 - 1 4 = 1 12 Therefore, P( A B) = 1 - 1 12 = 11 12 Answer: 11/12

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