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Secret Santas II

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

 

Puzzle ID:#43900
Fun:*** (2.66)
Difficulty:*** (2.56)
Category:Probability
Submitted By:javaguru*us**

 

 

 



A group of ten friends decide to exchange gifts as secret Santas. Each person writes his or her name on a piece of paper and puts it in a hat. Then each person randomly draws a name from the hat to determine who has him as his or her secret Santa. The secret Santa then makes a gift for the person whose name he drew.

When it's time to exchange presents, each person walks over to the person he made the gift for and holds his or her left hand in his right hand.

What is the probability that the 10 friends holding hands form a single continuous circle?


Hint

It's not as difficult as it seems.

It's the number of ways the friends can form a circle divided by the number of ways the names can be drawn out of the hat.

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