Notation for Probability Distribution of Two Dice Rolls

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The discussion focuses on defining a random variable X, which represents the larger value when two dice are rolled, or the same value if both dice show the same number. The mathematical expression for this random variable is U = MAX(X,Y), where X and Y are independent discrete uniform random variables ranging from 1 to 6. To derive the probability distribution for U, participants suggest using conditional probabilities and referencing SW VandeCarr's hint for further insights.

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Iclaudius
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Hello friends,

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
 
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Note - I have already solved this question just want to know how to express that above statement in math.
 
Iclaudius said:
Note - I have already solved this question just want to know how to express that above statement in math.

Do you know how to write conditional probabilities?
 
Iclaudius said:
Note - I have already solved this question just want to know how to express that above statement in math.

Lets say your random variable U takes the maximum value of X and Y.

You can write this mathematically as

U = MAX(X,Y), X ~ U(1,6) [Discrete], Y ~ U(1,6) [Discrete].

As for the distribution you can use SW VandeCarr's hint and list conditional probabilities to get a final distribution for U.
 
ah ok
 
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