2021 Combo Div 1 P4 (Div 2 P8)
Source:
March 2, 2021
combinatorics
Problem Statement
Suppose you have a sided dice with faces colored red, faces colored blue, and face colored green. You roll this dice 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