Question
Amar tells the truth in 75% of cases and Akbar in 25% of
cases.Find the probability that at least one of them tells the truth in a trial.Solution
ATQ,
Amar tells truth = 0.75
→ lies = 0.25
Akbar tells truth = 0.25
→ lies = 0.75
At least one truth:
P = 1 – P(both lies)
P(both lies) = 0.25 × 0.75 = 0.1875
P(at least one truth) = 1 – 0.1875 = 0.8125 = 13/16
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