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Rolling a Three is a puzzle in Professor Layton and the Curious Village.

Puzzle

When you roll a die, the chances of rolling a three are one in six. The chances of rolling a three twice in a row are one in 36, and the chances of rolling a three three times in a row are a jaw-dropping one in 216.

Let's assume you roll a die three times and get a three each time. Your chances of rolling a three on your next roll are one in how many?

Hints




Click a Tab to reveal the Hint.

Doesn't it seem like the longer a puzzle explanation is, the more likely you are to find a trick in the wording?

Read the explanation carefully and pay attention to what exactly it is that you're being asked to answer.

You shouldn't need to calculate anything to find your answer.

Don't bother multiplying 216 by six again. You don't need to do anything like that to find your answer. That's right, this puzzle is THAT simple.

It doesn't matter what numbers appeared in the three previous rolls.

The puzzle is asking you what the probability is of a three showing up in the next roll.


Solution

Incorrect

Give it another try!

You're probably making the puzzle more complicated than it needs to be. Keep things simple and you'll find your answer soon enough.

Correct

Terrific!

It doesn't matter how many times you roll the same number. If you are only asking about the probability of rolling a three in one turn, the chances will always be one in six.

CV105S

A big thanks to http://professorlaytonwalkthrough.blogspot.com

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