Question: 2. (Probability revision). Let us play a dice game. Each time you throw two fair dice and the game's outcome is as follows: if the

 2. (Probability revision). Let us play a dice game. Each time

you throw two fair dice and the game's outcome is as follows:

2. (Probability revision). Let us play a dice game. Each time you throw two fair dice and the game's outcome is as follows: if the sum of the dice is six then you win w, otherwise you lose. Find the smallest value of w that makes the game worth playing. (Assume that we will play for a while and throw the dice many times)

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