A pair of dice is rolled over and over again. What is the probability of the event E that the sum of the faces is a two or a three before it is a seven or an eleven? (Hint: Let T denote the event of getting a sum of two or three, and let S denote the event of getting any sum other than a two, three, seven or eleven. We have that E = T U (SNT)U (SNSNT)U.. .)

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