rednaz23: Yes, on a specific roll (in this case), you have 1/6 chance of an immediate win, but what matters is the overall winning chance which is not 50%. The player on roll is a small favourite (before seeing his roll). If he don't get the die he needs, then his opponent becomes the small favourite, and this will shift back and forth until one player wins. At no point will your winning chance be exactly 50 %.
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