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Consider the following variation of the game ladder climbing. There are 5 levels in the game, level 1 is the lowest (bottom) and level 5
Consider the following variation of the game ladder climbing. There are 5 levels in the game, level 1 is the lowest (bottom) and level 5 is the highest (top). Each time, a fair coin is tossed. If it turns up heads, the player moves up one level. If tails, the player moves down one level. Once at the top level, the player wins the game and the game gets over. Similarly, once at the bottom, the player loses the games and the game is over. If a player is at level 3 now, what is the probability that he will lose the game?
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