The Coin Toss Game
There are two people F and S who are playing a game. The game is a fair coin toss with one side called X and one side called Y. The following are the conditions set by the players that define how they are able to win.
- Player F can win if and only if side Y appears two times in a row.
- Player S can win if and only if side X appears three times in a row.
What is the probability that player F will win the game?
Give your answer in decimal form.