the probability that A speaks truth is 0.6 and the probability that B speaks truth is 0.7 they both agree about a statement. find the probability that the statement is true.
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Answer:
0.54 ; No, there is a probability that both of them are either saying true or are lying.
Step-by-step explanation:
Probability that both agree a statement = P(E)
P(E) = P(A intersection B) +P(A' intersection B')
P(E) = P(A) P(B) +P(A') P(B')
P(E) =0.6×0.7+(1-0.6)(1-0.7)
P(E) = 0.54
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