A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other, narrating the same incident.
Let A = Event the A speaks the truth
B = Event that B speaks the truth
Now, A and B contradict each other = [A lies and B true] or [A true and B lies]
∴ Required probability = `P(A).P(barB)+P(barA).P(B)`
= `(7/20xx100)=35%or 35/100`