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KCET2020MathematicsSets and Relations

If A and B are two events such that P(A)= 1 3 , P(B)= 1 2 and P(A B)= 1 6 , then P (A^ / B ) is

Options

  1. A2 3
  2. B1 3
  3. C1 2
  4. D1 12

Correct answer

A. 2 3

Step-by-step solution

Given P(A)= 1 3 , P(B)= 1 2 and P(A B)= 1 6 aligned P (A^ / B ) &= P (A^ B ) P(B) = P(B)-P(A B) P(B) &= 1 2 - 1 6 1 / 2 = 2 3 aligned

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