True Test
Arun and Arjun are 2 shifty witnesses in a court case. Arun tells the truth 75% of the time, and Arjun tells the truth 80% of the time.
If they were to narrate the same incident, what is the percentage probability that they will contradict each other?
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1 solution
Probability of Arun speaking truth P(A) = 75% = 3/4
Probability of Arun not speaking truth P(A ' ) = 1/4
Probability of Arjun speaking truth P(B) = 80% = 4/5
Probability of Arjun not speaking truth P(B' ) = 1/5
percentage of contradiction = P(A) * P(B' ) + P(B) * P(A ' ) = 7/20 = 35%