A speaks truth in $40\%$ cases and B in $50\%$ cases. The probability that they contradict each other is
- A. $2/3$
- B. $1/4$
- C. $1/2$
- D. $1/3$
✅ Correct Answer: $1/2$
Explanation
$P(A\,truth) = 0.4$ $P(B\,truth) = 0.5$ $P(A\,false) = 0.6$ $P(B\,false) = 0.5$ Required probability $= 0.4 \times 0.5 + 0.6 \times 0.5$ $= 0.2 + 0.3 = 0.5 = 1/2$
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