CUET · MATHS · PYQ PAPER 2023
The probability that A speaks the truth is \(4 / 5\). A coin is tossed and A reports 'Heads'. The probability that it actually showed 'Heads' is :
- A 1/5
- B 4/5
- C 3/5
- D 2/5
Answer & Solution
Correct Answer
(B) 4/5
Step-by-step Solution
Detailed explanation
\(P(\text{A reports H}) = P(\text{A reports H }|\text{ H})P(\text{H}) + P(\text{A reports H }|\text{ T})P(\text{T})\) \(P(\text{A reports H}) = (4/5)(1/2) + (1/5)(1/2) = 4/10 + 1/10 = 5/10 = 1/2\)…
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