The odds that A speaks the truth are 3:2 and the odds that B speaks the truth are 5:3 . In what percentage of cases are they likely to contradict each other on an identical point ?
The odds that A speaks the truth are 3:2 and the odds that B speaks the truth are 5:3 . In what percentage of cases are they likely to contradict each other on an identical point ?
Thanks .
Pr(A speaks true) = 3/5.
Pr(B speaks true) = 5/8.
Pr(A and B contradict each other) = Pr(A speaks true) x Pr(B lies) + Pr(A lies) x Pr(B speaks true).