Lucy Martinez

collaborators

3 papers

math.PR2025

Hitting k primes by dice rolls

Noga Alon, Yaakov Malinovsky, Lucy Martinez +1

Let $S = (d_{1}, d_{2}, d_{3}, \dots)$ be an infinite sequence of rolls of independent fair dice. For an integer $k \geq 1$ , let $L_{k} = L_{k} (S)$ be the smallest $i$ so that there are $k$ inte…

math.HO2023

A Guide to the Risk-Averse Gambler and Resolving the St. Petersburg Paradox Once and For All

Lucy Martinez, Doron Zeilberger

We use three kinds of computations: simulation, numeric, and symbolic, to guide risk-averse gamblers in general, and offer particular advice on how to resolve the famous St. Peters…

math.CO2023

How many Dice Rolls Would It Take to Reach Your Favorite Kind of Number?

Lucy Martinez, Doron Zeilberger

Noga Alon and Yaakov Malinovsky recently studied the following game: you start at 0, and keep rolling a fair standard die, and add the outcomes until the sum happens to be prime. W…