So, that episode's on right now. How would you even go about quantifying the odds of rolling a number on the infinity-sided die? It's a fun little thought. I love math stuff. owo

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ALL POSTSOdds of Rolling a Number on the Infinity-Sided Die

So, that episode's on right now. How would you even go about quantifying the odds of rolling a number on the infinity-sided die? It's a fun little thought. I love math stuff. owo

(edited by administrators)

Also, just some quick math to clarify something I mentioned up there, let .9999...=x. Then 99.999....=100x. (Since the nines go off infinitely, you don't lose any decimal places.) So 100x-x=99 which means 99x=99 which means x=1. So .999999...=1 making 99.9999....=100.

(edited by Vernanonix)

Derp I understand now :P

(edited by Madialiano)

Though now I'm talking with my math professor on Facebook and he's trying to explain to me why it would be a 0% probability instead. @.@

I love math, but sometimes theory stuff gets super confusing. xD;;

(edited by Vernanonix)

Ikr. It's a theory because everyone gets too confused to solve it.

(edited by Madialiano)

Nah. I think this is something that can be quickly solved once you have the right theoretical groundwork. It just takes some higher level math. Probabilities with infinity are fun to consider. Like, if I randomly generated a number in the set of all real numbers, the odds of me picking any specific number is effectively 0% but the odds of me picking a number at all is a true 100%. The odds of me picking any kind of rational number is also effectively 0% so I'm infinitely more likely to pick an irrational number.

I'm assuming if I wanted to go into complex numbers, similar logic would lead me to believe I'd pick a complex number with both parts irrational. Though, as always, the specific number I pick would effectively have a 0% probability.

Also, still discussing this with my math professor. He misunderstood the concept of the question. He's the super nerdy type that pals around campus in Hawaiian shirts and will play people blind in chess while watching tv in the other room and win. So I trust he can help me understand this. xD;;

(edited by Vernanonix)

Lol about your math professor.

I discussed this with my math teacher today. She said to go back to the more basic second grade aspect of it. Like how they said in second grade 'if you have a bag full of jellybeans there is 20 of then 10 are grape 10 are orange. There is a 50/50 chance of pulling a grape one.' So that works as long as there is an equal number of each item... in this case there is. Infinite numbers and infinite events so therefore it's a 50/50 chance of rolling a number

(edited by Madialiano)

Except infinity of one thing isn't equal to infinity of another thing. Put simply, infinity is actually defined such that infinity minus 1 equals infinity. And as stated before, uncountably infinite is infinitely greater than countably infinite anyway.

You teacher should have had calculus in college. There's a reason why infinity divided by infinity doesn't equal one.

(edited by Vernanonix)

I mean, the events that can occur are also infinite, so it could be infinitely small, since all the numbers in the world may be equivalent to "you do x", "y happens", "z occurs", etc.

(edited by 9spaceking)

The chances of rolling a number would be 49.999...%. The error from op came from assuming there was a countably infinite amount of non-number events. This lead them to believe the chances of rolling an irrational number were infinitely greater, when they are, in actuality, virtually equal. For every irrational number that exists, there exist numbers like irrational numbers, roots of those numbers, reciprocals, etc, along with the probability that those number won't be rolled, but instead be spoken aloud when the die stops (technically a non-number event). Therefore, the amount of non-number events can be paired one-to-one with every number, with at least a countably infinite amount of possible events remaining.

(edited by PalladianAltruist)

correction re: myself, there is a remaining uncountably infinite amount of possible events, rendering the chances of rolling a number 0%.

(edited by PalladianAltruist)