# A speaks truth in

P(A speaking truth)

P(A speaking lie)

P(B speaking truth)

P(B speaking lie)

Cases are when they contradict each other in stating same fact are when A speaks truth and B speaks lie or when A speaks lie and B speaks truth.

P (contradicting each other) = 0.75×0.1 + 0.25×0.9

= 0.075 + 0.225=0.3

Percentage of cases where they contradict each other in stating the same fact = 0.3× 100 = 30%

In such situation, the statement of B can either be true or false.

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