In Wimbledon's women's singles tournament there are 128 players. It is a knock-out tournament. I.e. after each round the losers are excluded from the next round.
The first round losers will have a win percentage of 0%.
The overall winner will have a 100% win percentage.
Part A: What's the average win percentage, (assuming the weighting of each player is equal)?
Part B: What's the average win percentage if each player is weighted proportional to how many matches she played?
Level of background mathematics required: high-school.
Difficulty level: straight-forward.