MathDB
2021 Combo Div 1 P4 (Div 2 P8)

Source:

March 2, 2021
combinatorics

Problem Statement

Suppose you have a 66 sided dice with 33 faces colored red, 22 faces colored blue, and 11 face colored green. You roll this dice 2020 times and record the color that shows up on top. What is the expected value of the product of the number of red faces, blue faces, and green faces?
Proposed by Daniel Li