A pretty way to add weighted dice

A link to the full video is at the bottom of the screen.
It describes convolutions in probability, extending to the continuous case

Editing from long-form to short by Dawid Kołodziej

[GrifGrey]

this man got me interested in math with one video, and now, 2 years later, I am studying Calculus.

[samuelw]

Best visual representation of convolution I've seen!

[hitchikerspie]

Straight away I was thinking “Isn’t this convolution?”

5 years of uni clearly weren’t entirely wasted

[RegisteredLobster]

Bro this is the most complicated ad for Domino’s I’ve ever seen

[tamatotodile]

Man just straight up visualized convolution in the most non-convoluted way I've ever seen

[Asha]

I like it as a multicoloured area plot. Draw a square and divide it into six columns and six rows. Make the widths of the rows equal to the weighted probabilities of each result on die 1, and make the widths of the columns equal to the weighted probabilities of each result on die 2. No need for heights; area=probability.

[triventilatoro]

3blue1brown: throughly explaining a really complicated subject

my brain: DIEgonal of this DIEagram

[a.v.y]

I love that it's called a "convolution" when it clearly makes it much simpler to visualise summation outcomes

[ferdianeary]

F-ing LOVE these visuals to mathematics! Keep them coming, please! 🙏🤩

[ryanb]

I needed this math, I was designing a ttrpg and ended up just simulating because I didn’t know the math

[sudharshanrao]

Wow so amazing
That graphical representation was in detail incredible

[ariyanhacker]

Finally something I was taught in school and I can grasp rather than it going over my head.

[nintendocaprimoon]

For another visual, I could imagine stretching each row and column to certain heights based on the % chance of that die landing on that face. This way when the matrix is formed, each square will take up the same proportional area as the % chance of that combination. For example if die A has a 33% chance of rolling a 2 and die B has a 10% chance of rolling a 1, 2 on die A will take up one-third of the height and 1 on die B would take one-tenth of the width of the matrix. Thus the square with the combination (1, 2) will take up 3.3% of the matrix. Though, perhaps that math may need to be checked, I'm only a novice.

[yusufkor]

While eating the pizza you ordered from Dominos pizza, you suddenly had a brilliant idea...

[vader]

I finally managed to develop the algorithm to calculate the probability in python

[gardenlifelove]

Oh look another collapsing wave function!

[mkb]

This presentation was NOT sponsored by Domino's Pizza.

[angrytedtalks]

So it goes from a normal distribution to a poison distribution.
Though both are restricted by the resolution of the component outcomes.

[Thunderhawk]

I was getting all mad cuz I know 7 is the most probable outcome for a set of dice, then I realized it was for weighted dice...

[DeanCalhoun]

just summing a joint pmf along fixed sum values