Let E represents the statement of a person.
Now, S1 is the event of getting 2 heads and S2 is the event of not getting 2 heads on tossing 6 coins
Now, Probability of statement to be truth if 2 heads are obtained on tossing of 6 coins
P(E/S1) = 3/5
∵ Person speaks truth 3 times out of 5.
Similarly, Probability of statement to be not truth if 2 heads are obtained on tossing of 6 coins
Now, the probability that this event is actually true,