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MHT CET202312 May 2023Morning ShiftMathematicsProbabilityActual

A and B are independent events with P ( A )= 1 4 and P(A B)=2 P(B)-P(A) , then P(B) is

Options

  1. A1 4
  2. B3 5
  3. C2 3
  4. D2 5

Correct answer

D. 2 5

Step-by-step solution

array ll & P ( A B )=2 P ( B )- P ( A ) & P ( A )+ P ( B )- P ( A B )=2 P ( B )- P ( A ) & P ( A )+ P ( B )- P ( A ) P ( B )=2 P ( B )- P ( A ) array [ A and B are independent events ] array ll & P ( B )+ P ( A ) P ( B )=2 P ( A ) P ( B )= 2 P ( A ) (1+ P ( A )) = 2 1 4 (1+ 1 4 ) = 2 5 array

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