### Brain Teasers

# Get a Clue

Probability
Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.

In Clue (called Cluedo in some countries, including its origin, England), you attempt to solve a murder mystery. There are six possible suspects, six possible weapons that the murderer could have used, and nine possible locations for the murder to have occurred.

If you guess a random suspect, a random weapon, and a random room, what is the probability of getting at least one right?

If you guess a random suspect, a random weapon, and a random room, what is the probability of getting at least one right?

### Answer

31/81.The total number of possibilities is 324 (6*6*9). The number of completely wrong guesses is 200 (5*5*8). So the number of partially or fully correct guesses is 124 (324-200). The probability is 124 out of 324, which can be reduced to 31 out of 81.

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