Trick to Guess the Number of Jelly Beans #shorts

Estimation in physics and science is the process of making approximate calculations or educated guesses to simplify complex problems or evaluate the reasonableness of more precise results. It is used when exact measurements are unavailable or impractical. Techniques like order of magnitude estimation and Fermi estimation help scientists break down complicated problems into manageable parts, often providing insights into large or uncertain quantities.

Estimation is important because it enables quick checks on the feasibility of solutions, simplifies real-world constraints, and helps determine whether pursuing more detailed calculations is worthwhile.

It is frequently applied in areas like astronomy, physics, and environmental science to estimate values such as distances to stars, energy outputs, or the impact of human activities.

#science #mathematics #maths #math #estimating #jellybean #shorts

Credits 📽
Mark Rober
Nick DiGiovanni

[noamspector]

You measured a half circumference, not a diameter.

[dorukkaankalkan]

You have a 4.8% margin of error I'd say thats pretty good

[iamdigory]

There are 21 jelly beans in there, that is a fact

[tanayshah]

the jar is narrower at the top, should have subtracted a few hundred beans before answering

[DrEggCake]

I mean there are 21 jelly beans, atleast

[J.Jonah.Jameson.]

Open the lid, eat all the jelly beans, the answer is always zero.

[jerrydaboss]

I did it a slightly different way. I counted the distance across (half the circumference) to get twice your precision. I counted sometimes long beans and sometimes short beans (meaning I counted ones both perpendicular and parallel to the glass to get a more accurate count). I got 20. I add two because glass has a critical angle of ~45 degrees which means we are undercounting beans on the edges of this view that we can't see due to total internal reflection in the glass preventing us from seeing it. So 22. We use 22×2=2×pi×r to get r=22/pi. We estimate the height to be 22 beans (we model the jar as a cylinder, ignoring the decreased radius at the top and bottom, compensating by undercounting the height, hoping the excess at the neck will fill in the gaps to make it a cylinder). Using pi×(r^2)×h we get pi×((22/pi)^2)×22 which simplifies to (22^2)/pi×22 which equals 3389, only 10 off, or only 0.3 percent off.

[NullScar]

*_"246 toothpicks."_*
End of discussion.

[Miginator]

Mark said it'll not be totally accurate, but the number will be very close

[maddiedoesntkno]

My dad gave me this sort of lesson when I was about eight. He’s a math professor and it’s one of the silliest lessons I’ve retained. The amount of chocolates and jelly beans and other sweets I’ve won at fairs and baby showers and such is truly astronomical😂

[Halen]

Mark rober and her should be science partners in vids

[Legendary_Godfather]

_"Whats 9 plus 10?"_
_"21"_

[grants.]

A more statistically sane way of doing this is finding the packing rate of jelly beans and multiplying it by the volume.

[arcpercivious]

It actually works very well. I calculated with 22 jelly beans height (and keep everything else the same) and got 3385 jelly beans which is super close to 3379!

[Allrounder]

Phineas: So, the base of the jar is π × r^2
Baljeet: You're measuring the radius in centimetres right?
Buford: **Eats all the jellybeans**

[MarkBowenPiano]

There's another method which has been said to be very accurate (I've never had chance or possibility to test this though) which is if you can get hold of everybody else's guess (as long as they're not giving silly guesses) and then average them out it's meant to give a very accurate guess.
Would love to test this out but don't have access to thousands of people to guess for me.

[JMs]

*eats all of them
= 0 jelly beans in jar

[SoulessFTP]

The jar gets narrower and narrower as it reaches the top, so to deal with this situation, you should cut a small curve part of the jar extended at angle dtheta and then measure the volume of that element in terms of theta, just to integrate that volume with respect to theta with limits angle 0 to the angle where the curve of the jar ends. This way you can get more closer to the precise answer.

[afrenchfry]

Odd squad tought me how to do it but i completely forgot

[MamxnKing]

I saw “mark robers hack” on an odd squad episode about 7 years ago