Question

in a certain dice game, three fair dice are rolled and the total on all three dice is counted. Let the random variable x be the total count on all three dice. Construct the probabiblity distribution for x.

Answer 1

This is the Chuck-a-Luck game.

http://homepage.ntlworld.com/dice-play/Games/ChuckALuck.htm

Answer 2

Here are, I think, the stuffings of the P-distribution.
It is not in proper form but I think it will help.

http://tinyurl.com/dygq39b