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No: 07       September 12, 2018



You will play a game with a fair 6-sided die. You will throw the die and as long as the result of the throw is greater than or equal to the previous throw, you will continue throwing. If the throw is lower than the previous one, you will stop and get as many points as the sum of all throws, including the last one. For example, if you get 2, 5, 5, and 3 as a result of 4 throws, the game will end with 15 points.

What is the expected value of the points you will get at the end of the game?

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

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