A speaks truth in 60% cases and B speaks
truth in 70% cases. The probability that
they will say the same thing while
describing single event is
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Step-by-step explanation:
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Answer:
0.54
Step-by-step explanation:
Consider the following events,
A1 : A speaks truth
A2 : B speaks truth
Then, P(A1)=10060=53,P(A2)=10070=107
For the required event,either both of them should speak the truth or both of them should tell a lie.
Thus, the required probability is
P(A1∩A2)∪(A1∩A2)=P(A1∩A2)+P(A1∩A2)
=P(A1)P(A2)+P(A1)(A2)
3/5 ×7/10 + (1- ⅗)(1-7/10) = 0.54
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