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hence your answer is 7/20
Step-by-step explanation:
the probablity that A speak truth = 4/5
the probablity that A don't speak truth = 1/5
the probablity that B speak truth = 3/4
the probablity that B don't speak truth = 1/4
probablity when they contradict each other =
P(A)*P(B') + P(A')*P(B)
= 4/5*1/4 + 3/4*1/5
= 4/20 + 3/20
= 7/20
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