Practice problem
Pigeonhole Principle
Unbalanced principle
I have a bag with 100 marbles in it, and I'll promise you that there are only 4 colors of marbles (red, green, blue, and yellow), and I'll also promise you that there are more red marbles than blue marbles. ("More" means that the numbers are not equal.)
Then, there must be some color with at least ___ marbles. Fill in the blank. Please enter the largest number for which the statement is always true.