Pit: But as with radioactive decay, there will eventually be a point where none of the original material remains because a particle cannot decay by a percentage, each individual particle will either be decayed or not. If we treat problems with this same binary status, they can either be unsolved or solved, then you need only buy books until the value of problems is less than 1, at which point your problem will be solved at a random point in time, but increasing in likelihood as you buy more books.

Pit: Though, if one of your problems is that you keep running out of money from buying books…then may Palutena help you.

Ness: Yeah, I’m not sure if there’s an effective model that takes into account the growing amount of problems.

Bowser Jr: Just so we’re clear, it would take 73 half lives for a single gram of uranium-235 to decay until there is mathematically less than a single particle left. One half life of uranium-235 is 703,800,000 years. It would take approximately 51,377,400,000 years for a single gram of uranium-235 to completely decay. In other words over 11,309 times the age of the earth, or over 3 times the age of the universe.

Leaf: Yeah, but a gram of uranium-235 contains about 8.6x1019 atoms, so hopefully the number of problems isn’t that high, and the time required to buy a book and solve half the problems should be less than 703,800,000 years.

Dark Pit: Bold of you to assume I’ve learned how to read or am speedy about purchasing books.

Red: I have 99 problems, but I can promise you a gram of uranium-235 ain’t one of them.

Toon Link: Ness, you’re under the assumption that I have I have finitely many problems. I am not even sure if my problems are countably infinite!

In the background with two adults….

Mario: …What are they talking about?

Captain Falcon: I don’t know, but I’m frightened…

Back with the kids…

Lucas, picking up of what one of the others said: Okay, Meggy isn’t entirely wrong, but is still wrong in that their statement of “the limit never actually reaches zero as you approach infinity” is not a valid counterpoint to someone who is explicitly taking the value at infinity, which is absolutely 0 if you permit the math to work there.

Blue: I have absolutely no clue what you just said, but you sound smart so I’m agreeing with you.

Meggy: Wait, how would talking infinite halves not relate to Zeno’s Dichotomy paradox? Also come on, you know what they mean by saying that ½^n never reaches 0. The limit is 0 but you never actually reach 0.

Dark Pit: But you can’t take the value at infinity to be strict, so Lucas is kinda right.

Villager, curled up on the ground: ◉_◉

Ashley: Actually, it occurs to me that a human being who has existed in the observable universe for a finite period of time literally cannot have infinite problems, so the entire question of whether or not ½^infinity is valid or not is moot. There will be a finite number of books for which the remaining number of problems rounds down to 0, and thus the reply is still wrong, just for a different reason.

Pit: So, I have one problem, and I solve half of my problems, do I solve half of the problem, or is there a 50% chance of me solving that one problem?

Ashley: The latter, assuming you can only have an integer number of problems.

MegaMan: ⚆ _ ⚆

MegaMan: You guys had two vitamin gummies, how did you become able to discuss Zeno’s Paradox?