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 2
people, 5
weapons, and 7
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 after narrowing down the choices is 2 (people) * 5 (weapons) * 7 (rooms) = 70.
Therefore, the probability of making a random guess and being correct is 1/70, which is equal to approximately 0.0143 when rounded to 4 decimal places.