imo class 12 probability

Person A speaks the truth 75% of the time, and Person B 80% of the time. The probability that they contradict each other in stating the same fact is:

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Person A speaks the truth 75% of the time, and Person B 80% of the time. The probability that they contradict each other in stating the same fact is:

  • A. 35%
  • B. 60%
  • C. 15%
  • D. 45%

Answer: A) 35%

Explanation: P(contradict) = P(A truth)P(B lies) + P(A lies)P(B truth) = (0.75 × 0.20) + (0.25 × 0.80) = 0.15 + 0.20 = 0.35 = 35%.

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