A speaks truth in 75% cases and B in 80% of the cases. In what percentage of cases are they likely to contradict each other ?
Yes man Same thing just think in only 5% cases their answers differ
Contradiction has no relationship with false or right answer . It means the answer of A and B for the same question is different .
Think again dear they will contradict in only5% as it is clear that A in 25% cases speaks false andB in20% cases false
Contradict here mean that A and B both give different answer for the same question. Means that if both A and B say false for the same question , they do not contradict.
I think simply they would contradict when any one speaks false its simple in25%cases its definite A would speak false and in20% cases B will false so in5% cases they will contradict
Probabilty of A speaking the truth is 3/4 and that of B is 4/5.
Now they will contradict each other when if A speaks truth and B speak false or if B speak truth and A speak false . So by using the combination the probability of their condradict is P(A truth)× P(B false) + P(B truth)× P(A false)= (3/4×1/5)+(1/4×4/5) = 7/20
(7/20)×100 = 35%