There are three coins. One is two-headed coin (having head on both faces), another is biased coin that comes up heads 75 \% of the times and third is also a biased coin that comes up tail 40 \% of the times. One of the three coins is chosen at random and tossed, and it shows heads. What is the probability that it was the two-headed coin?
There are three coins. One is two-headed coin (having head on both faces), another is biased coin that comes up heads 75 \% of the times and third is also a biased coin that comes up tail 40 \% of the times. One of the three coins is chosen at random and tossed, and it shows heads. What is the probability that it was the two-headed coin?

As per the given question,