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DND404 | Dungeons and Dragons PodcastAuthor: DND404
Greetings, tabletop nerds and dice collectors. In this treasure chest we find three first time adventurers questing their way through a D&D campaign. One patient Dungeon Master guides our heroes through the player handbook, d20 rolling, and ttrpg roleplay. Gather around the table and Follow Tony (DM), Jared (Armos/Myelin), Dan (Minnis/Boram), Alec (Drell/Kaz'il) and Kyleigh (Vivien) as they battle dragons, hellish demons, and giant monstrosities. Join us, as we search through dark dungeons in the world of Humbreah! Language: en-us Contact email: Get it Feed URL: Get it iTunes ID: Get it |
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C2: Ep. 41 - The Birthday Problem | DND404
Tuesday, 13 October, 2026
In probability theory, the birthday problem asks for the probability that, in a set of n randomly chosen people, at least two will share the same birthday. The birthday paradox is the counterintuitive fact that only 23 people are needed for that probability to exceed 50%.The birthday paradox is a veridical paradox: it seems wrong at first glance but is, in fact, true. While it may seem surprising that only 23 individuals are required to reach a 50% probability of a shared birthday (the number being less than 1/15th of the number of days in a year), this result is made more intuitive by considering that the birthday comparisons will be made between every possible pair of individuals. With 23 individuals, there are (23×22)/2=253 pairs to consider.Real-world applications for the birthday problem include a cryptographic attack called the birthday attack, which uses this probabilistic model to reduce the complexity of finding a collision for a hash function, as well as calculating the approximate risk of a hash collision existing within the hashes of a given size of population.The problem is generally attributed to Harold Davenport in about 1927, though he did not publish it at the time. Davenport did not claim to be its discoverer "because he could not believe that it had not been stated earlier". The first publication of a version of the birthday problem was by Richard von Mises in 1939.Discord! - https://discord.gg/hSrsU492RPCAST:Dungeon Master - TonyBoram DuMarais - DanKaz'il Amberleaf - AlecMyelin Vaaxon - JaredVivien Charmant - KyleighPOST PRODUCTION:Episode Director - TonyMusic - DanSFX - TonyIntro theme "The Heartland" by Arcane Anthems
