Help... having my first encounter on conditional probability and then I meet this problem.. it includes several conditions and I am not sure if Im thinking the right procedure on this problem. Any idea will be of great help. Thanks in advance.
There are 3 coins. One is two headed coin, the other one comes heads 75 percent of the time and the third is a fair coin. A coin is selected at random and flipped.
1) What is the probability that the flipped coin will come up head?
2) Given that the coin that was flipped comes up head, what is the probability that it was fair coin?