Clue is a board game in which you must deduce three details surrounding a murder. In the original game of Clue, the guilty person can be chosen from 6
people, and there are 6
different possible weapons and 9
possible rooms. At one point in the game, you have narrowed the possibilities down to 4
people, 3
weapons, and 8
rooms. What is the probability of making a random guess of the guilty person, murder weapon, and location from your narrowed-down choices, and the guess being correct? Enter a fraction or round your answer to 4
decimal places, if necessary.
The total number of possible combinations of the guilty person, murder weapon, and location from your narrowed-down choices is:
4 people x 3 weapons x 8 rooms = 96 possible combinations
Since there is only 1 correct combination among those 96 possibilities, the probability of making a random guess and being correct is:
1/96 = 0.0104 or 1.04%