Luka and Janie are playing a coin toss game. If the coin lands heads up, Luka earns a point; otherwise, Janie earns a point. The first player to reach 25 points wins the game. If 24 of the first 47 tosses have been heads, what is the probability that Janie wins the game?
The probability that Janie wins the game is I.
(Simplify your answer.)