A speaks truth in 75% and B in 80% cases. In what percentage of cases are they likely to contradict each other when narrating the same incident?
Choose the correct option:
A) 35
B) 30
C) 25
D) 20
E) None of these
Let the truth spoken by A and B be pl and p2   respectively, i.e., pl = 3⁄4 and p2 = 4⁄5   They will contradict each other only when one speaks truth and the other is lying.   i.e., 3⁄4 × 1⁄5 + 4⁄5 × 1⁄4 = 3⁄20 + 4⁄20 = 7⁄20 = 35⁄100 i.e, 35%   35nswer 35
<result>A</result>
A speaks truth in 75% and B in 80% cases. In what percentage of cases are they likely to contradict each other when narrating the same incident?