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No: 14       November 08, 2017



You will play a game of chance with your friend by throwing a dice repeatedly.

* Whenever 4 even numbers appear in a row, you will win.
* Whenever 4 odd numbers appear in a row, your friend will win.
* Whenever 5 even numbers appear (may not be in a row), your friend will win.
* If first and third condition occur at the same time, first condition has the priority.

What is your probability of winning the game?

(Enter your answer as a reduced fraction. Example: 123/4567)

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