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AP EAMCET202318 May 2023Morning ShiftMathematicsProbabilityActual

The probability that A speaks truth is 4 / 5 , while the probability that B speaks truth is 3 / 4 . Then the probability that A and B contradict each other, when asked to reveal the fact is

Options

  1. A3 20
  2. B1 5
  3. C7 20
  4. D4 5

Correct answer

C. 7 20

Step-by-step solution

A= Event that A speaks the truth B= Event that B speaks the truth aligned & P(A)= 4 5 P (A^c )= 1 5 & P(B)= 3 4 P (B^c )= 1 4 aligned Now, the required probability = P ( A ) P ( B ^ c )+ P ( A ^ c ) P ( B )= 4 5 1 4 + 1 5 3 4 = 7 20

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