Calculate Probablity Visually. The Mathematics of Gambling

Calculate probability, or the odds of any random outcome using the concept of probability space. Inspired by Cardano's early work on attempting to cheat at dice games. How mathematicians gamble.

Category:

Education

Tags:

• calculate probability
• probability theory
• betting
• strategy
• dice
• probability space
• odds
• art of the problem
• chances
• cardano
• gambling
• secret
• Mathematics
• Computer
• Classified Information

[G0LFMADE]

Does the quality of the dice themselves have an impact? Such as pips vs no pips, rounded edges vs squared edges, and so on?

[ArtOfTheProblem]

@G0LFMADE Good question. In theory there is no such thing as 100% "perfect dice", nice are "near perfectly balanced". However during construction the pips are accounted for!

[ch987ch]

cool, but how will things be explained in the next sequence? 4d? are the visuals only limited to the 3 dimensions?

[ArtOfTheProblem]

@ch987ch Good question. Possibility space extends into any number of dimensions, however visual space is limited to 3D. If you look up a hypercube video is it a good example of what 4D "behaves like". However, for many rolls in, say, 25 dimensions we are out of luck. The way I show large possibility spaces (in another video) is to represent the size in another way. Say if we rolled 10 dice, and wrote each and every possibility on a page of paper. This would make a stack of paper over 6km high

[mrtamborineman10]

Awesome Video Man. Really basic ideas but nice editing and presentation.

[ArtOfTheProblem]

@mrtamborineman10 Thanks! hope to have some more 'meaty' stuff up soon

[G0LFMADE]

@ArtOfTheProblem Thanks for the quick reply! I'm a roleplayer and often times my group has wondered about this.

[Cinqmil]

Great videos!! Keep it up! :)

[lynmyd]

sweet