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## Homework Statement

Estimate the probability that, in a group of five people, at least two of them have the same zodiacal sign. (There are 12 zodiacal signs; assume that each sign is equally likely for any person.)

## Homework Equations

P(X=k) =

_{n}C

_{k}* [tex]p^{k}[/tex] * [tex](1-p)^k{}[/tex]

## The Attempt at a Solution

I think that it involves in some way subtracting the probability that everyone has a unique zodiacal sign from 1, but I'm not sure exactly how.