You are playing a dice game with your friend by rolling two standard dice and recording the sum of two numbers. You will win when two consecutive outcomes are 7. Your friend will win when three consecutive outcomes are in increasing order. You will continue rolling until one of you will win. What is the probability that you will win?
Examples:If the outcomes are 10,4,6,6,7,7 you will win. If the outcomes are 7,3,7,9 your friend will win.
Enter your answer as a simplified fraction. Example:12/23
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