Discussion :: Probability
- A speaks truth in 75% cases and B in 80% of cases. In what percentage of cases they contradict each other in narrating the same incident?
Answer : Option C
Explanation :
Probability that A is telling the truth P(A)=75/100=3/4
Probability that B is telling the truth P(B)=80/100=4/5
Probability that A is lying P(A’)=1-75/100 =25/100=1/4
Probability that B is lying P(B’)=1-80/100 =20/100=1/5
Contradiction means either of
A telling truth and B lying
Or
B telling truth and A lying
P(Contradiction)= P(A)*P(B’) + P(A’)*P(B)=(3/4) * (1/5) + (1/4)*(4/5)=7/20
7/20 is equal to 35 %.
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