Q. 9

Mark the correct alternative in each of the following:

A speaks truth in 75% cases and B speaks truth in 80% cases. Probability that they contradict each other in a statement, is

A. 7/20

B. 13/20

C. 3/5

D. 2/5

Answer :

Let A = Event that A speaks the truth
B = Event that B speaks the truth
Then




P(A-lie)


P(B-lie)



Now,
A and B contradict each other =
[A lies and B true] or [B true and B lies]
= P(A).P(B-lie) + P(A-lie).P(B)



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