A man speaks the truth 4 out of 5 times. He tosses a coin and reports it is a Head. The probability that it is actually a Head is:
A man speaks the truth 4 out of 5 times. He tosses a coin and reports it is a Head. The probability that it is actually a Head is:
- A. 1/2
- B. 4/5
- C. 1/5
- D. 3/5
Answer: B) 4/5
Explanation: P(Actual Head | Reports Head) = (1/2 × 4/5) / [(1/2 × 4/5) + (1/2 × 1/5)] = (4/10) / (5/10) = 4/5.
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