Question
Sita tells the truth in 80% of cases and Geeta tells the
truth in 30% of cases. Find the probability that at least one of them tells the truth.Solution
ATQ,
Sita tells truth = 0.8
→ lies = 0.2
Geeta tells truth = 0.3
→ lies = 0.7
At least one truth:
P = 1 – P(both lies)
P(both lies) = 0.2 × 0.7 = 0.14
P(at least one truth) = 1 – 0.14 = 0.86 = 43/50
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