# Basic Joint Distribution Question

Three Players play 10 independent rounds of a game. Each player has probability $\frac{1}{3}$ of winning each round.
I am having immense difficulty with this joint probability stuff. if $f_{XYZ} (x,y,z) = P_{XYZ} (x,y,z)$ I assume then that, for example $P_{XYZ} (x,y,z) = P_{XYZ} (1,0,0)$ means the probability of player x winning 1 game and players y,z winning no games? This then could only account for one round? I am totally lost!!!