Question
Arun tells the truth in 70% of cases and Varun tells the
truth in 50% of cases. Find the probability that at least one of them tells the truth in a given situation.Solution
ATQ,
Arun tells truth = 0.7
→ lies = 0.3
Varun tells truth = 0.5
→ lies = 0.5
At least one truth:
P = 1 – P(both lies)
P(both lies) = 0.3 × 0.5 = 0.15
P(at least one truth) = 1 – 0.15 = 0.85 = 17/20
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