Question

in a room of 30 people, 22 like white, 23 like black, 24 like red, 25 like yellow. What's the minimum chance that I pick someone, and he happens to like all 4 colors

Answer 1

no algebra allowed

Answer 2

4

Answer 3

How did you figure that out?

Answer 4

with my Yale brain

Answer 5

First you add them up to get the number of color preferences:\[
22+23+24+25 = 94
\]Now if all \(30\) people were to have \(3\) color preferences, then the total would be:\[
30\times 3 = 90
\]

Answer 6

The \(3\) color preferences is the minimum they can have without having \(4\).