1. In a standard casino dice game the roller wins on the first roll if they roll a sum of 7 or 11. What is the probability of winning on the first roll?
2. The player loses on the first roll if they roll a sum of 2, 3, or 12. What is the probability of losing on the first roll?
3. If the player rolls any other sum than 2, 3, or 12, they continue to roll the dice until the first sum they rolled comes up again or until they roll a winning sum of 7 or 11, whichever happens sooner. What is the probability that the game continues after the first roll?
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