math
posted by Matt .
Marcus and Allen are playing Rock/Paper/Scissors. The first one to win 10 times does not have to do the dishes. The score is now 9 to 7 in favor of Marcus. If ties are ignored and not counted, what is the probabilty Marcus will not have to do the dishes?

He only needs to win one more time to watch TV instead of doing dishes.
Assuming he is not a pro, and everything being equal, and since history does not count, what is the probability for him to win the next one?