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In a dice game a player first rolls two dice. If the two numbers are l...

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Statistics

In a dice game a player first rolls two dice. If the two numbersare l ≤ m then he wins if the third roll n has l≤n≤m. In words ifhe rolls a 5 and a 2, then he wins if the third roll is 2,3,4, or5, while if he rolls two 4’s his only chance of winning is to rollanother 4. What is the probability he wins?

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