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I have this problem it reads:

*A random variable X is defined to be the larger of the two values when two dice are thrown, or the value if the values are the same. Find the probability distribution for X.*

So I don't know how to state "X is defined to be the larger of the two values when two dice are thrown, or the value if the values are the same" mathematically. If someone could tell me, it would be much appreciated.

Thank you for you time,

Claudius