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Probability that A speaks truth is
. A coin is tossed. A reports that a head appears. The probability that actually there was head is
A.
B. 
C. 
D. 
Asked by Rajmohan Last Modified
Answer Let E1 and E2be the events such that
E1: A speaks truth
E2: A speaks false
Let X be the event that a head appears.
P(E1)=45P(E1)=45
Therefore,
P(E2)=1−P(E1)=1−45=15P(E2)=1-P(E1)=1-45=15
If a coin is tossed, then it may result in either head (H) or tail (T).
The probability of getting a head is whether A speaks truth or not.
The probability that there is actually a head is given by P (E1|X).
Therefore, the correct answer is A.
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