Nine players have distinct ranks , with rank the strongest. Whenever two players play, the player with the smaller rank wins.
At each stage, one pair is chosen uniformly at random from all pairs of players still present. They play one match, and the loser leaves. A new pair is then chosen from the remaining players. This continues until only one player remains.
What is the probability that the player of rank plays in the final match?
A
B
C
D
E
F