An infinite-sided die is rollled infinite times

SecondClass · August 25, 2015, 12:54:19 PM

Will each side of the die eventually show up?

Nexus · August 25, 2015, 12:56:55 PM

Yes.

nͫiͤcͫeͤ · August 25, 2015, 12:57:12 PM

XSEAN · August 25, 2015, 12:57:41 PM

Oh · August 25, 2015, 12:57:51 PM

Not necessarily. Just because it can happen doesn't mean it will happen.
You could roll 1 every time.

challengerX · August 25, 2015, 12:58:54 PM

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The Lord Ruler · August 25, 2015, 12:59:56 PM

SecondClass · August 25, 2015, 01:28:14 PM

Quote from: The Lord Ruler on August 25, 2015, 12:59:56 PM

No

Explain

Girl of Mystery · August 25, 2015, 01:29:01 PM

Jocephalopod · August 25, 2015, 01:31:36 PM

Quote

die

August 25, 2015, 01:38:35 PM

Quote from: XSEAN on August 25, 2015, 12:57:41 PM

It's Sir Raven!

The Lord Ruler · August 25, 2015, 01:40:36 PM

Quote from: SecondClass on August 25, 2015, 01:28:14 PM

Quote from: The Lord Ruler on August 25, 2015, 12:59:56 PM
No
Explain

You can't make me

rC · August 25, 2015, 01:41:00 PM

It either happens

Or it doesn't

50/50

TB · August 25, 2015, 02:01:05 PM

Wouldn't it have to be infinity?

Zizzy · August 25, 2015, 02:25:41 PM

🂿 · August 25, 2015, 02:26:36 PM

It's all based on chance really. There is a chance that each side will show up once or twice or only half shows up twice and the other half doesn't within each roll. And if it is rolled infinite times, each side will eventually show up, possibly more than once depending on the outcome.

Super Irish · August 25, 2015, 02:29:32 PM

Yes.

Some sides may come up a few more times before all are shown once, however.

Zizzy · August 25, 2015, 02:30:39 PM

Quote from: Decimator Omega on August 25, 2015, 02:26:36 PM

And if it is rolled infinite times, each side will eventually show up, possibly more than once depending on the outcome.

Each side will show up infinite times

Zizzy · August 25, 2015, 02:32:20 PM

Quote from: Simseoooooooooooooooooo👌 on August 25, 2015, 12:57:51 PM

Not necessarily. Just because it can happen doesn't mean it will happen.
You could roll 1 every time.

No you couldn't, the odds of you rolling 1 decreases each time - the odds are literally approaching 0, which means after infinity rolls there's 0% chance you roll another consecutive 1.

Cheat · August 25, 2015, 02:35:37 PM

Geometrically, each time you add a side to a 3D object, it becomes more like a sphere. So a die with infinite sides is going to approach a ball shape, and you can't really "roll" a ball and expect a definite number to show up, much less do it infinite times.

Oh · August 25, 2015, 02:36:26 PM

Quote from: Zizzy on August 25, 2015, 02:32:20 PM

Quote from: Simseoooooooooooooooooo👌 on August 25, 2015, 12:57:51 PM
Not necessarily. Just because it can happen doesn't mean it will happen.
You could roll 1 every time.
No you couldn't, the odds of you rolling 1 decreases each time - the odds are literally approaching 0, which means after infinity rolls there's 0% chance you roll another consecutive 1.

Yes you can.
You have the same probability of rolling any of the numbers every roll, so you have the same probability of rolling any sequence of numbers.

Approaching 0 =/= 0.

🂿 · August 25, 2015, 02:37:56 PM

Quote from: Zizzy on August 25, 2015, 02:30:39 PM

Quote from: Decimator Omega on August 25, 2015, 02:26:36 PM
And if it is rolled infinite times, each side will eventually show up, possibly more than once depending on the outcome.
Each side will show up infinite times

Yep.

Zizzy · August 25, 2015, 02:44:26 PM

Quote from: Simseoooooooooooooooooo👌 on August 25, 2015, 02:36:26 PM

Quote from: Zizzy on August 25, 2015, 02:32:20 PM
Quote from: Simseoooooooooooooooooo👌 on August 25, 2015, 12:57:51 PM
Not necessarily. Just because it can happen doesn't mean it will happen.
You could roll 1 every time.
No you couldn't, the odds of you rolling 1 decreases each time - the odds are literally approaching 0, which means after infinity rolls there's 0% chance you roll another consecutive 1.
Yes you can.
You have the same probability of rolling any of the numbers every roll, so you have the same probability of rolling any sequence of numbers.

No. For example, the odds of rolling a standard die and landing on any number is 1. The odds of landing on a 1 SPECIFICALLY is 1/6. You're comparing landing on any number with landing on a specific one x amount of times.

Quote

Approaching 0 =/= 0.

Where infinity is concerned, it is.

Alternative Facts · August 25, 2015, 02:46:03 PM

FatherlyNick - fuck putin · August 25, 2015, 02:58:35 PM

Tecnically, a sphere has infinite sides.

Turkey · August 25, 2015, 02:58:45 PM

Actually, the probability of rolling any of the sides would be zero.

Zonda · August 25, 2015, 03:26:11 PM

No matter how I look at it, it seems impossible. If you look at it from the point of view that it's a realistic shape, said Die would be a Perfect sphere, with each side having a surface area of Zero. This makes it impossible to have any of the "Faces" to land upwards, because they don't have a surface area, and thus don't exist. If you drew a grid on said sphere, with each square representing a face, then it would have a finite amount of faces, making it ineligible for the "experiment."

A die with infinite faces, each with a quantifiable surface area, whilst being an impossible shape, would run into the problem of there always being more faces than the number of rolls that have occurred, ad infinitium. The two can't really cancel each other out, unless the die rolls can somehow happen in a finite amount of time.

This makes my head hurt.

SecondClass · August 25, 2015, 03:27:15 PM

Quote from: Cheat on August 25, 2015, 02:35:37 PM

Geometrically, each time you add a side to a 3D object, it becomes more like a sphere. So a die with infinite sides is going to approach a ball shape, and you can't really "roll" a ball and expect a definite number to show up, much less do it infinite times.

This is obviously a hypothetical. "Die" could be substituted for an RNG.

rC · August 25, 2015, 03:41:59 PM

Quote from: HurtfulTurkey on August 25, 2015, 02:58:45 PM

Actually, the probability of rolling any of the sides would be zero.

can you explain why pls

SecondClass · August 25, 2015, 03:43:12 PM

People who are getting hung up on the physical shape of the die are missing the point. The rolling of the "die" isn't really what matters, it's the fact that you're doing it infinite times, and the possible results are infinite.