
Ian Chen
Undergraduate
- Urbana, Illinois
- University of Illinois - Urbana Champaign
- Google Scholar
- ORCID
- GitHub
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2026 July Mindbenders
10 minute read
Published:
If you roll six dice, you could get the same number on every die, or (in contrast) all different numbers. What is the probability of getting exactly four distinct numbers? source.
2026 February and March Mindbender
5 minute read
Published:
Today, I discuss my solutions towards the Feburary and March mindbenders! The puzzles can be found here.
Cycle Analysis
10 minute read
Published:
Consider an infinitely long sequence of coin flips, i.e. with \(p\) probability heads and \(1-p\) probability tails. You get points for non-overlapping pairs of consecutive heads. How many points do you expect to obtain per flip? That is, what is the limit for the ratio of the number of points over number of flips?
2026 January Momath Mindbender
3 minute read
Published:
Puzzle from here. Consider a ladybug starting on the 12-hand of the clock. During each timestep, it will choose to walk either counterclockwise or clockwise, each with 50% probability. What is the probability that the last new number it visits is 6?