Date of Original Version
Our objective in this note is to introduce an interesting game of chance and show that, when the game is unfair, its expected value is (plus or minus) a Fibonacci number. We prove this in an elegant and unexpected way, with ramifications going beyond the Fibonacci numbers.
Clark, D. S. Fibonacci Numbers as Expected Values in a Game of Chance. The Fibonacci Quarterly, 24(3), 263-267. Retrieved from https://www.fq.math.ca/Scanned/24-3/clark.pdf
Available at: https://www.fq.math.ca/Scanned/24-3/clark.pdf