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Math Puzzles of the Month: March
Happy Birthday

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In this puzzle we are asking how you would find out how many people in a room might share the same birthday.

BalloonsThere are many people who have the same birthday as you. With only 366 birthdays to go around, and over 6,000,000,000 people in the world there has to be quite a bit of sharing. But what if you are in a room with a few people? How likely is it that there is at least one shared birthday? How many students are in your class? Are there any shared birthdays? Can you find out this information for other classes in your school?

If you’re in a room with a group of people check to see if there are any shared birthdays. Go around the room asking the people to say their birthdays and see if there’s a match.

How many people would there have to be in a room in order to have a better-than-even chance that at least two people share a birthday? In other words, how many people do you need for the probability of a shared birthday to be greater than 50%? How many people do you need for the probability to be greater than 90%?

Before you try to figure it out, take a guess. After you try this yourself, check our solutions.

 

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