Suppose in Example 33(A) that a coin's probability of landing heads is a beta random variable with parameters n and m, that is, the probability density is = f(p) Cp" (1p)-1, 0 p 1. Consider the policy that flips each newly chosen coin until m consecutive flips land tails, then discards that coin and does the same with a new one For this policy show that, with probability 1, the long-run proportion of flips that land heads is 1