# Random Variables - Rolling two fair six-sided dice

Consider rolling two fair six-sided dice. Let W be the product of the number showing. What is the probability function of W?

I have a hard time figuring out how to solve this question.

Any help will be appreciated!

• Use the self study tag. – Michael R. Chernick May 28 '18 at 3:34
• You can just enumerate the outcomes. – Glen_b May 28 '18 at 7:46

• Not only is this a difficult and inefficient algorithm, it easily leads to incorrect results. In particular, although $5,$ $8,$ $10,$ $15,$ $18,$ and $24$ are possible values of the product, you seem to have overlooked them, nicely demonstrating my point. – whuber May 28 '18 at 13:08