imo class 12 probability

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:

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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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