Q.13 Probability that A speaks truth is . A coin is tossed. A reports that a head appears. The probability that actually there was head is
Let A : A speaks truth
B : A speaks false
X : Event that head appears.
A coin is tossed , outcomes are head or tail.
Probability of getting head whether A speaks thruth or not is
The probability that actually there was head is
Hence, option A is correct.
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