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Question
The probability that A speaks truth is 45, while this probability for B is 34. The probability that they contradict each other when asked to speak on a fact is
Options:
A .  323
B .  120
C .  15
D .  1440
Answer: Option D
:
D
In short the event described here is P(A)'P(B) +P(A)P(B)'
where P(A) and P(B) arethe probabilitiesof A and B speaking the truth respectively.
P(E)= P(A)'P(B) +P(A)P(B)' =15×34+45×14
P(E)=320+420=720=1440

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