1.A player throws a dice whose face are numbered 1 to 6. If the player obtains a six, he throws the dice a second time, and in this case, his score is the sum of 6 and the second number; otherwise his score is the number obtained from the first throw only. One player cannot throw more than two times.

Let X be the random variable denoting the player's score.

(a)Write down the probability distribution of X and the cumulative distribution F(x) of X. (Sou.04.4.5.N7 s.12)

(b)Determine the probability that the sum of two successive scores by two playersis 8 or more.