Question: The probability that the second roll was larger than the first. Somebody invents a three-sided die that gives scores of 1, 2, or 3, each

The probability that the second roll was larger than the first.
Somebody invents a three-sided die that gives scores of 1, 2, or 3, each with probability 1/3. Two such die are rolled. Use the law of total probability to find the above probability, and then find them directly by counting.

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