Question

A speaks truth in 65% of cases and B in 80% of the cases. In what percentage of cases are they likely to contradict each other in stating the same fact?
(a) 3%
(b) 15%
(c) 52%
(d) 85%

Answer 1

In order to find the percentage of cases in which A and B are likely to contradict each other, you can multiply the probabilities of A speaking the truth 65% and B speaking truth 80% and then subtract from 100%. So the cases in which they are likely to contradict each other is:

100% -(65%*80%) =100% -52=48%