Three players, A, B, and C, in that order, take turns drawing a card at random

from a regular deck of cards. Once a card is drawn and observed, it is then replaced into the

deck and thoroughly shuffled. Player A wins if he draws a 2, 3 or 4. Player B wins if he draws

a 5, 6, or 7. Player C wins if he draws an 8, 9, or 10. The game continues until someone wins.

Assuming that the draws are independent of each other, what is the probability that Player C

wins the game?