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MHT CET202311 May 2023Evening ShiftMathematicsProbabilityActual

If A and B are two events such that P ( A )= 1 3 , P ( B )= 1 5 , P ( A B )= 1 3 , then the value of P ( A ^ / B ^ )+ P ( B ^ / A ^ ) is

Options

  1. A5 6
  2. B1
  3. C1 6
  4. D11 6

Correct answer

D. 11 6

Step-by-step solution

aligned P ( A ^ / B ^ ) & = P ( A ^ B ^ ) P ( B ^ ) & = 1- P ( A B ) 1- P ( B ) & = 1- 1 3 1- 1 5 = 2 3 3 5 = 5 6 P ( B ^ / A ^ ) & = P ( A ^ B ^ ) P ( A ^ ) & = 1- P ( A B ) 1- P ( A ) & = 2 3 1- 1 3 = 2 3 2 3 =1 P ( A ^ / B ^ ) & + P ( B ^ / A ^ )= 5 6 +1= 11 6 aligned

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