Consider the "rock-paper-scissors" problem from class. Suppose the expert instead has probability p of winning on any particular game, for sorse 0 < p < 1. Find theprobability of the event C = {the expert wins the championship} (i.e., the expertwins by 2 in a sequence of independent repeated games). Your final answer should be an expression involving p alone.Verify your answer is correct by showing P(C) = 0.1 when p = 0.25.