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AP EAMCET202018 Sep 2020Evening ShiftMathematicsProbabilityActual

(A ) speaks truth in (20 % ) of the cases and (B ) in (80 % ) of the cases. Find the probability that their statements about an incident do not match.

Options

  1. A( 3 25 )
  2. B( 17 25 )
  3. C( 4 25 )
  4. D( 8 25 )

Correct answer

B. ( 17 25 )

Step-by-step solution

Let (E₁ ) be the event of (A ) speaking the truth ( aligned & P (E₁ )= 20 100 = 1 5 & P ( E₁ )=1- 1 5 = 4 5 aligned ) (E₂ ) be the event of (B ) speaking the truth. ( aligned & P (E₂ )= 80 100 & P (E₂ )= 4 5 & P ( E₂ )=1- 4 5 = 1 5 aligned ) Required, Probability (=P (E₁ ) P ( E ₂ )+P (E₂ ) P ( E ₁ ) ) (= 1 5 1 5 + 4 5 4 5 = 1 25 + 16 25 = 17 25 )

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