MathDB

Alice has four boxes,

327

blue balls, and

2022

red balls. The blue balls are labeled

1

327

. Alice first puts each of the balls into a box, possibly leaving some boxes empty. Then, a random label between

1

and

327

(inclusive) is selected, Alice finds the box the ball with the label is in, and selects a random ball from that box. What is the maximum probability that she selects a red ball?

Problem Statement