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AP EAMCET202423 May 2024Morning ShiftMathematicsProbabilityActual

It is given that in a random experiment events A and B are such that P ( A )= 1 4 , P(A B)= 1 2 and P(B A)= 2 3 then P(B)= 1 6

Options

  1. A1 3
  2. B2 3
  3. C1 2
  4. D1 2

Correct answer

A. 1 3

Step-by-step solution

We know that, P ( B A )= P(A B) P(A) P ( B A ) P(A)=P(A B) 2 3 1 4 = 1 6 =P(A B) And P ( A B )= P(A B) P(B) P(B)= P(A B) P(A / B) P(B)= 1 / 6 1 / 2 = 1 6 2 1 = 1 3 .

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