Probability that A speaks truth is `4/5`. A coin is tossed. A reports that a head appears. The probability that actually there was head is(A) `4/5` (B)`1/2` (C) `1/5` (D) `2/5`

Explanation

To solve the problem, we will use Bayes' theorem. Let's denote the events as follows:

- Let \( H \) be the event that a head appears.
- Let \( T \) be the event that A tells the truth.
- Let \( F \) be the event that A tells a falsehood.

From the problem, we know:

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