1. The problem statement, all variables and given/known data. The game of Clue involves six subjects, 6 weapons and 9 rooms. One of each is randomly chosen and the object of the game is to guess the three. a) how many solutions are possible In one version of the game, after the selection is made, each of the players is then randomly given three of the remaining cards. S, W, R represent suspects weapons, and rooms in the set of three cards given to a specified player. lex x denote the number of solutions that are possible after that player observes their three cards b) Express X in terms of S,W,R c) Find E[x] 2. Relevant equations Not sure n * k / N . The mean of a hypergeometric maybe? 3. The attempt at a solution. a) is 324 since 6*6*9 b) is X= (6-S, W-6, R-9)...I think. c) is where it gets tricky. The back of the book said the answer was 199.6. I think it's Hypergeometric. How many players am I working with here? It doesn't say... I mean, if i have 3 of them, so....in the first there are 5*5*8 which is approx above, but that can't be it. is it there are 18 cards and you take three and then do a combination of what they could be and that is probability and you multiply by whatever remains by the combination of whatever it can be?