A speaks truth in 80% of the cases and B speaks truth in 60% of the cases.  Find out the probability of the cases of which they are possible to contradict each other in stating similar fact. 

Ans:  a. Probability that A speaks Truth is: P (A=T) = .8

b. Probability that A speaks False is: P (A=F) = .2

c. Probability that B speaks Truth is: P (B=T) = .6

d. Probability that A speaks False is: P (B =f) = .4

Now probability that A and B likely to contradict is 

P (A=T) x P (B =F) + P (B=T) x P (A =F)

 =.8 x .4 + .6 x .2 = 32 + .12 = .44