Basic Joint Distribution Question
G'day! I have the answer to this question but I do NOT understand it. Any help much appreciated...
Three Players play 10 independent rounds of a game. Each player has probability of winning each round.
Find the joint distribution of the numbers of games won by each of the players.
I am having immense difficulty with this joint probability stuff. if I assume then that, for example 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!!!
Re: Basic Joint Distribution Question
The question is asking you to find p(x,y,z), where x+y+z = 10 and x is the number of games won by the first player, y the number won by the second player, and z the number own by the third player. For any other values of x,y,z (not summing to 10), the probability is zero.