Answer: The probability that it was the two-headed coin is .
Step-by-step explanation:
Let we consider the events as
A = A two-headed coin is tossed
B = A fair coin is tossed
C = biased coin is tossed
H= Results heads after toss
As per given , total coins =3
So ,
Probability that coins show heads :
By Bayes theorem ,we have
Simplify , we get
Hence, the probability that it was the two-headed coin is .