| dc.contributor.author | Alon, Noga | |
| dc.contributor.author | Malinovsky, Yaakov | |
| dcterms.creator | https://orcid.org/0000-0003-2888-674X | en_US |
| dc.date.accessioned | 2022-10-14T15:40:10Z | |
| dc.date.available | 2022-10-14T15:40:10Z | |
| dc.date.issued | 2022-09-16 | |
| dc.description.abstract | What is the number of rolls of fair 6-sided dice until the first time the total sum
of all rolls is a prime? We compute the expectation and the variance of this random
variable up to an additive error of less than 10−4
, showing that the expectation is
2.4284.. and the variance is 6.2427... This is a solution of a puzzle suggested a few
years ago by DasGupta in the Bulletin of the IMS, where the published solution is
incomplete. The proof is simple, combining a basic dynamic programming algorithm
with a quick Matlab computation and basic facts about the distribution of primes. | en_US |
| dc.description.uri | https://arxiv.org/abs/2209.07698 | en_US |
| dc.format.extent | 5 pages | en_US |
| dc.genre | journal articles | en_US |
| dc.genre | preprints | en_US |
| dc.identifier | doi:10.13016/m2hupy-pnvs | |
| dc.identifier.uri | https://doi.org/10.48550/arXiv.2209.07698 | |
| dc.identifier.uri | http://hdl.handle.net/11603/26187 | |
| dc.language.iso | en_US | en_US |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Mathematics Department Collection | |
| dc.relation.ispartof | UMBC Faculty Collection | |
| dc.rights | This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author. | en_US |
| dc.title | Hitting a prime in 2.43 dice rolls (on average) | en_US |
| dc.type | Text | en_US |
