A computer game stimulate a match beteewn A and B. The match consist of at most 3 sets. Each set is won by either A or B and the match is won by 1st player to win the two sets.

The stimulation uses the following rules:

-The probability that A wins the 1st set is 0.6

-For each set after the 1st, the conditional probability that A wins that set, given that A won the preceding set, is 0.7

-For each set after the 1st, the cnditional probability that B wins that set, given B won the preceding set, is 0.8

Find the probability that (i)A wins the second set

(ii)A wins the match

Thanks