A speaks truth in 60% cases, B in 70% cases. They agree in a statement. The probability that the statement is true is:
A. 0.58
B. 0.50
C. 0.78
D. 0.42
Answer: Option C
Solution (By JKSSB Mock Tests)
Agreement can be both truth or both lie. P(both truth)=0.6×0.7=0.42; both lie=0.4×0.3=0.12. Total agreement=0.54. Probability truth given agreement = 0.42/0.54 ≈ 0.7778.
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