The Expected Number of n -sided Dice Throws to Collect k Points is a Geometric Series for k ≤ n
Abstract
Let’s start with a visual proof of a formula for the sum of a finite geometric series. We consider a growing geometric series (bj) where bj+1=rbj with ratio r>1. We represent the ratio as r=1+α, so...
Fields of Study & Subjects
Probability and Statistical Research
Advanced Combinatorial Mathematics
Mathematics and Applications
Publication details
- Journal / source
- American Mathematical Monthly
- Volume
- 133
- Issue
- 6
- Pages
- 577–577
- Publication date
- 5 February 2026
- Language
- EN