12. Suppose I have either a fair coin or a bent coin, and I don't know which. The bent coin has a 60% probability of coming up heads.
I throw the coin ten times and it comes up heads 8 times. What is the probability I have the fair coin vs. the
probability I have the bent coin?
Assume at the outset there is an equal (.5,.5) prior probability of either coin.
*Please note that in order to fit the entire formula in the feedback, probability has been abbreviated to "prob.