You're constructing an extremely unlikely scenario to rationalize thinking a die has memory. It does not.

The previous results don't affect future outcomes for a fair die, no matter what those previous results are or how unlikely that outcome was.

Let me toss that back at you: How many unlikely outcomes have to occur before it "begins to matter"? Is one enough to start ignoring the math? Ten? A thousand?

I was just called up in CA and found out they changed the rules (or could be my county). Used to be it was an automatic pass if employer did not pay but now you have to go in front of a judge and plead your case or plead poverty I suppose. Its complete bullshit, no one should lose money for serving. They should just force all large employers to pay and subsidize the smaller ones.

A kilogram is a unit of mass. Just read the definition of it

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>"The kilogram, symbol kg, is the SI unit of mass. It is defined by taking the fixed numerical value of the Planck constant h to be 6.62607015×10−34 when expressed in the unit J s, which is equal to kg m2 s−1, where the metre and the second are defined in terms of c and ∆νCs."[1]

The SI unit of force a 1Newton that in SI base unit is 1 kilogram meter / second ^2

Wait, how do we know it's "several times" bigger than the observable? I haven't seen anything to reference the actual size of the entire universe beyond observable.

They didn't. They just got up when the sun came out, and stop work when its too dark.

In winter there wasn't anything on the land, still they did other jobs.

Publishers basically do whatever it is the developers need them to do. Most of the time it's funding because making games is expensive. They will offer other services to developers depending on the situation.

Some games are completely developed independently by the developers and the publisher only deals with distribution and marketing. This extends from simply listing games on Steam to all the legal paperwork and lawyers needed to negotiate contracts with distributors like Steam. The publisher also tends to have a lot of existing relationships that they've built over years for marketing/selling. Something that is very expensive/time consuming for a small developer to invest in, especially if they have never done so before. This is fairly common with indie games.

In other cases publishers will advise developers on games. For example, highlighting that some gameplay features might not work in the general public. Companies like Paradox, given their general focus on strategy games, could provide a lot of useful insight to developers. Whether or not the developer takes the advice depends on the nature of the relationship. Sometimes publishers can dictate what the dev does, seeing as the publisher usually funds the game. Other times they take a more hands-off approach.

Publishers also have access to a lot of other resources beyond financial/legal/etc. For example, they might have access to a really powerful game engine that a developer could use if they decide to build a game on it. Or maybe they have a large artistic group that a developer could leverage. You can see this in EA where they publish games and the publisher itself owns a number of dev studios around the world. They tend to share employees and tools like the Frostbite engine.

This is all to say that there's a lot work aside from writing code/making art that goes into making a game. Publishers offer developers a way to navigate that with someone that has experience doing that a lot.

Solar altitude: the angle of the sun relative to the Earth's horizon, measured in degrees. This changes over the course of the year, with altitude at its highest in the summer and lowest in the winter.

Once you are capable of measuring solar altitude (which isn't that difficult) you can track it every day. If you do that, you'll quickly realize that it changes on a predictable ~365-day loop.

>Probability only looks forward

-ish. Bayes' theorem shows how probability of an expected scenario changes based on what's happened so far.

Your 6 6s scenario is a great, if somewhat trivial, example of this: the odds of rolling 6 6s is (1/6)^6, but the odds of rolling 6 6s given that you already rolled 5 6s is (1/6).

Things get slightly more complex when events are not fully independent, though the fundamentals of "probability of X given Y" is still basically the same.

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To add to this, maybe what I'm touching on without knowing it is similar to the problems Einstein was trying to solve when euclidian geometry failed. Yes, space bends as does time when you get off the paper and into the real universe. Probablities that explain away the gamblers fallacy as a fallacy maybe break in the real world when pushed to the same brink as Einstein pushed things when he invented relativity. Maybe??

Going back to the balloon analogy, the dots are moving away from each other. Without the vertical dimension, the "universe" of the balloon surface is getting bigger, but what is it expanding into? The space between dots is expanding, but where is the space coming from?

In this model, the dots dont understand elastic stretching. In the universe, it's believed that empty space is just expanding and pushing everything apart, but we don't know how.

What does it being absurdly unlikely have to do with anything? And at what point do you consider it "absurdly unlikely"? 100 throws? 1000 throws? 1 million throws?

By even pointing out the absurdity seems to indicate that you have an inherent understanding that it does at some point begin to matter.

I'm in California, and we only get $15/day and that's starting on the second day.

Man, I don't EVEN have an opi--

I mean, in my case it's truthful. I've seen a lot of my state's problems in the public defense system (it's awful here), and for nonviolent crimes I'm pretty much 100% a not guilty protest vote from the outset.

But yeah, judges will respond differently. Some may keep you if they think you're trying to get out of it, but as long as you're respectful and not mocking about it, you've got a good chance and you won't be punished.

Now, I see one guy falsely claimed to have killed someone and would go into heroin withdrawals during the trial, and he got hit with contempt. Don't be an asshat 🤣

Or become aware of the size and position of your tongue.

Now try to forget it.

Ah yes, lbf, not to be confused with flb or ft-lb, which is an unit of torque.

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"originally film cameras used a reflector to bounce an image onto film"

This is not true. The mirror in SLR (single-lens reflex) cameras redirects the light coming through the lens to a viewfinder (by way of a prism), through which the user sees what the lens sees. When the shutter is pressed, the mirror flips up so the light travels from the lens directly to the focal plane (where the film or sensor is). Digital SLRs work the same way in this regard. Earlier film cameras were basically empty boxes with a lens on the front and the focal / film plane on the back. Some (commonly known as view cameras, which are still made today) had / have a ground glass panel on the back to act as a viewfinder, in front of which the film holder would be inserted and the film then exposed to the light coming through the lens.

Barring outside influences, and assuming the odds are static, like dice, exactly the same as one plane crashing there, once one already has.

During my selection some people did try this but the judge pushed back and essentially went down a line of reasoning that most weren’t able to follow through with. She kept 1 of them as an alternate, probably out of spite.

>If you only get jurors that have the means and desire to take days or weeks off from their lives, you're likely going to have a demographic that isn't very representative of the overall population,

and on the flip side, you have stressed out and annoyed people trying to judge a WWE episode they don't want to watch

it's a pretty fucked up system

If the die is fair then it's fair, that's all she wrote. Rationally you should always follow the math. Constructing an absurdly unlikely scenario doesn't invalidate the math.

That is exactly how "space scales" work. Astronauts get wobbled back and forth by the scale, which compares the force to the movement, and computes the mass.

lawyers get rich, jurors get shit

change that and we change the justice system