Jelly beans

Question:

You have a bucket of jelly beans in three colors: red, green, and blue. With your eyes closed, you have to reach in the bucket and take out two jelly beans of the same color. How many individual jelly beans do you have to take to be certain of getting two of the same color?

.

.

C

A

P

T

A

I

N

I

N

T

E

R

V

I

E

W

.

.

Solution: Most people will get this pretty quickly without the need for a hint or asking questions. The answer is four. The worst case is that the first three selections will yield jelly beans of unique colors. But since there are only three colors, the fourth pick must necessarily yield duplication.

Answer: Four jelly beans.

Extra credit: Note the general rule, that with n colors, you will always have two of one color if you grab (n+1) jelly beans.

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