Answer all questions with explanation.

Two basketball players are taking turns at shooting free-throws. The first player shoots until she misses two shots. The second player shoots until missing two shots as well, and then the game ends. Suppose that the chance of scoring each free-throw is independent of the others, and the probabilities of scoring are 0.7 and 0.6 for players 1 and 2 respectively. What is the probability that the game finishes after 7or less free throws have been shot in total by the two players? For example, if S is score and M is miss, the sequence Player 1: (S,M,S,M) and Player 2: (M,S,M) has 7 shots in total.