6. We have two coins in a box, namely Coin 1 and Coin 2. If we toss Coin 1, its probability of head is 0.9 and probability of tail is 0.1. Coin 2 is a fair coin, i.e., it has 50% chance of head and 50% chance of tail if tossed. We randomly pick up a coin in the box and toss and check the outcome. a. What is the probability we have head? [10] b. If we have head, what is the probability that the coin we pick up is Coin 1? [5] c. If we have head, what is the probability that the coin we pick up is Coin 2? [5]