Two teams play an extended series of 100 volleyball games.

Question

Team A wins the first game and then team
B wins the
second. The probability that a team wins each subsequent game is equal to the proportion of games that team has won so far. The probability that one of the teams wins exactly 30
games can be expressed as a/bwhere a and b are coprime positive integers. What is the value of a+b???

Answer 1

the total games plus one is the answer

Answer 2

2/99 or 101