Show transcribed image text 3. Suppose there are two coins, one is fair, and the other one has probability 0.6 get a head You randomly pick one coin, with equal probability, and throw ten times. (a) What is the probability that you get exactly seven heads? (b) Conditioned on you get exactly seven heads, what is the probability that you chose the fair coin?

3. Suppose there are two coins, one is fair, and the other one has probability 0.6 get a head You randomly pick one coin, with equal probability, and throw ten times. (a) What is the probability that you get exactly seven heads? (b) Conditioned on you get exactly seven heads, what is the probability that you chose the fair coin?