AMC / AIME · Pigeonhole Principle · Easy

Pigeonhole Principle: A bag has math red, math blue, and math green marbles. What is the minimum drawn (without looking) to guarantee two of t

Forced collisions.

Try the problem

A bag has 33 red, 33 blue, and 33 green marbles. What is the minimum drawn (without looking) to **guarantee** two of the same color?

Hint and answer

Concept to use

Basic form.

Hint

Three colors → fourth marble repeats a color.

Answer

4

More Pigeonhole Principle problems

Practice more with the free Pigeonhole Principle worksheet generator, or browse the full problem library.