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COMEDK202510 May 2025Evening ShiftMathematicsProbabilityActual

If for two events A and B, P(A-B)= 1 5 and P(A)= 3 5 then P(B / A)=

Options

  1. A3 5
  2. B2 3
  3. C2 5
  4. D1 2

Correct answer

B. 2 3

Step-by-step solution

The probability of the event A-B is given by P(A-B) = P(A) - P(A B) . Given P(A-B) = 1 5 and P(A) = 3 5 , we substitute these values into the equation: 1 5 = 3 5 - P(A B) P(A B) = 3 5 - 1 5 = 2 5 The conditional probability P(B/A) is defined as P(B/A) = P(A B) P(A) . Substituting the known values: P(B/A) = 2/5 3/5 = 2 3 Answer: 2 3

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