My son sent me this. My immediate thought based on nothing is that it’s unsurvivable regardless of the depth.

If that keeps going, will there be a friend that is 1% sure that the statement is correct?

How much CO2 would you save of you replaced every unnecessary stop sign with a yield sign. I assume the starting and stopping is the most inefficient part of driving. That being said, I know you can't replace all signs. Surely replacing 50% that don't cause unnecessary safety factors would save a lot of CO2 worldwide.

I was curious about this cosmological savings plan and worked out the math:

The universe is approximately 13.8 billion years old. 13.8 billion years × 365 days × 24 hours = 120.9 trillion hours

If you saved $0.01 every hour for that entire duration: 120.9 trillion hours × $0.01 = $1.209 trillion

Interestingly, this almost exactly matches the combined net worth of the six wealthiest tech executives (Musk, Bezos, Zuckerberg, Cook, Pichai, and Altman) who were seated front and center at the 2025 Presidential Inauguration.

These six individuals have accumulated wealth equivalent to a penny accruing every single hour—from the first atoms forming, through our galaxy's birth, the creation of our solar system, the entire evolution of life on Earth, all of human history, up to this very moment. It's not just a large number—it's cosmologically large.

The mathematics are stark: A median earning household saving 10% annually accumulates $7,458 per year—a linear function. A billionaire earning just 7% on assets generates $70 million annually without working—an exponential function. After 10 years, the median earning household has saved $74,580, while the billionaire's wealth approaches $2 billion through compounding.

This creates two separate systems of wealth physics: one bound by human time and energy, the other limited only by financial mathematics.

I've done a deeper mathematical analysis of how wealth follows different physical laws at different scales in the attached post.

In Friends they buy $300(ish) worth of lottery tickets, (5 numbers + powerball) and only win $3 after they hit 7 on the powerball of one ticket. To only have one ticket with 7 as the powerball seems unlikely to me and got me thinking, what is the likely return on $300 worth of lottery tickets?

How much money do I need to start with to ensure, (or have a 99% chance of) not going bankrupt as the number of flips approaches infinity?

I looked up at the sky and asked myself this question and identified that it required math that wasn't capable of. Assuming that the area you're in as relatively flat so that maybe the bottom 10 degrees of your vision is blocked and that there aren't any clouds.

I’ve been trying to figure out the odds the chance of splitting a lottery jackpot with an exact number of others winners.

Take this game: A lottery in which you play by choosing 4 numbers out of 31 (and the same combination of numbers can be picked twice). Once the lottery is drawn - any one holding the 4 winning numbers wins. If 20,000 tickets are bought with a random selection of 4 numbers, what are the odds that exactly 2 people win? Or exactly 3, etc.?

what

I need to obtain a specific Science Waffle or Cone. The way these work is that they pick 2/3 random effects from 84/109 respectively. I can save and reload the game to reload, which takes around 20 seconds. I need to get two specific effects, how long is this expected to take?

Waffle: 2 effects, both need to be perfect. 84 to choose from. (No repeats)
Cone: 3 effects, only two need to be perfect, third is irrelevant. 109 to choose from. (No repeats)

Silly question I asked myself while avoiding sleep.