Get a Clue

A group of 5 logicians are playing a game of Clue (also known as Cluedo). The game is played with 18 cards: 6 "suspect" cards, 6 "weapon" cards, and 6 "room" cards (the original game has 9 room cards, but the logicians have removed 3 in order for everyone to receive the same number of cards). At the beginning of the game, 1 of each type of card is chosen at random and placed in an envelope, whose