A Secret Weapon for Predicting Outcomes: The Binomial Distribution

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0:00 - Introduction
0:41 - Calculating by hand for small numbers
5:54 - Independent events
6:50 - Building Pascal's triangle
9:03 - Binomial coefficient formula
13:27 - Empirical test
Some 0! videos:
• Zero factorial or 0! | Probability an...
• Zero Factorial - Numberphile
• Why is 0! = 1?
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Опубликовано:

17 май 2024

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Комментарии : 1,3 тыс.

@trees9363 11 месяцев назад

I was unreasonably happy to see that the blob finally made a shot at the end

@PrimerBlobs 11 месяцев назад

@EEEEEEEE 11 месяцев назад

E‎‎‎‎‎‎‎‎‎‎

@airmanon7213 11 месяцев назад

Same! :)

@person8064 11 месяцев назад

@Kathen 11 месяцев назад

@Absolutemenace_ 11 месяцев назад

This is literally our math subject rn. Thanks man.

@NoTNoL 11 месяцев назад

Same

@PrimerBlobs 11 месяцев назад

This one's for you

@Absolutemenace_ 11 месяцев назад

@@PrimerBlobs 🙏

@duythuchoang5095 11 месяцев назад

@@PrimerBlobslmao thanks, I actually learned the stuff in the video in January and it's so nice when I look at the formulas and understand them

@EEEEEEEE 11 месяцев назад

‎‎‎‎‎‎‎‎‎‎‎‎‎E

@xamwright 11 месяцев назад

The return of the king

@williamdaniel2519 11 месяцев назад

Yeah

@rytroniscool 11 месяцев назад

Biggest W of June so far

@EEEEEEEE 11 месяцев назад

‎‎‎‎‎‎‎‎‎‎‎‎‎‎E‎‎‎‎‎‎‎‎‎‎‎‎‎‎

@volodyadykun6490 11 месяцев назад

Every his video is return?

@lety18chula 11 месяцев назад

This has no reason to be as good as it is, thank you, I finally get it

@angelus8521 11 месяцев назад

Primer is the only educational RU-vidr I watch cause he makes it fun

@spmagic9083 11 месяцев назад

I'd recommend a few: 1. 3Blue1Brown has similar math visualizations over a number of math topics. 2. Kurgesagt has really interesting animations over many topics, including science, climate change, space, and aliens. 3. Veritasium shows sciencey things in cool ways. 4. TedEd has short animations on a variety of topics, like science, mythology, fiction, history, and social studies. 5. MinuteEarth has fun, short animations about the Earth, nature, and related science topics. 6. MinutePhysics has short animations about physics. This is by no means an exhaustive list, but I watch these channels more than others. For shorter videos, try starting with TedEd, MinuteEarth, and MinutePhysics. The other channels have slightly longer, more in-depth videos.

@infinitum-repertorium 11 месяцев назад

@@spmagic9083thanks, i was about to write the same. It's so cool that this form of education connects us all even though we don't know each other.

@Ennar 11 месяцев назад

What do you mean he makes it fun? Mathematics is fun. What he does is very clean visuals and is quite good at it. That's why I watch, even though I learned all of this many years ago.

@EEEEEEEE 11 месяцев назад

E‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

@suicidebxmber1234 11 месяцев назад

Not only does he EXPLAIN with absolute eloquence and clarity, but the care he puts into the animations is remarkable.

@dragonfriend9364 11 месяцев назад

I personally miss the evolution/economic vids. I'll still watch these, but those are what brought me to the channel.

@PrimerBlobs 11 месяцев назад

Me too, me too. There's an econ one cooking currently.

@piggydabest 11 месяцев назад

let the man cook

@jaideepshekhar4621 11 месяцев назад

Same! :(

@dragonfriend9364 11 месяцев назад

@@PrimerBlobs thanks, I'm looking forward to it.

@CrittingOut 11 месяцев назад

@@PrimerBlobs good to hear

@Silliestgooberz 11 месяцев назад

No matter the subject, I’ll watch these all the way through, even if I won’t learn it for years.

@EEEEEEEE 11 месяцев назад

E‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

@joshavery 11 месяцев назад

You're learning by watching! No need to wait for a formal class.

@Patrick-Hartford 10 месяцев назад

same

@alexanderwolf7514 11 месяцев назад

By now I've done 4 semesters of statistics classes but none of my professors was able to explain this concept as easily understandable as this video.

@patrickwienhoft7987 11 месяцев назад

For binomials and the choose function there are really nice ways to build intuition, experiments to derive rules like in this video. However, in combinatorics you often care about slightly more complex things, where you have more classes than yes/no and dependencies between objects. For example, for a given graph, how many ways are there to label the nodes such that the graphs are isomorphic? When I learned this and taught it to other students I always had the feeling that this was one of the things for which you need a good understanding of the problem to solve it as there is no go-to formula or procedure to solve those. The only way that seemed to work is to solve different instances over until it clicks tl;dr: I found teaching combinatorics really hard.

@anthonynorman7545 10 месяцев назад

@@ensiehsafary7633also, the time/resources are no where equal to what a professor has.

@47Mortuus 10 месяцев назад

Because you're expected to explain it to yourself, using different sources. THAT IS THE VERY ESSENCE OF UNIVERSITY

@anthonynorman7545 10 месяцев назад

@@47Mortuus that's not how math classes tend to go. It's not like it was a research paper topic.

@47Mortuus 10 месяцев назад

@@anthonynorman7545 stay ignorant :)

@RickachuCXVI 11 месяцев назад

I just love the presentation and explanations in these videos so much, it makes the entire lesson so much more engaging

@EEEEEEEE 11 месяцев назад

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@junebug5180 4 месяца назад

@@EEEEEEEE E

@ChrisPhelior 11 месяцев назад

Chance of your team's Yasuo actually being good: infinitesimal Great video as always

@doomse150 11 месяцев назад

That LoL reference came completely out of nowhere.

@xavierburval4128 11 месяцев назад

Yeah I was way too surprised by that lol

@TheAlexN1305 11 месяцев назад

Yeah, Yasuo teammate is the last blob in the video.

@doomse150 11 месяцев назад

@@TheAlexN1305 Nah, don't be mean to the blob

@jiyuandong8964 11 месяцев назад

i clicked on this video from the recommended sidebar while watching a league video so this actually was extremely fitting hahaha

@huhneat1076 11 месяцев назад

Can black blob with sunglasses become a recurring character? I think his character arc involving missing all the shots was very interesting

@jamiedytham5276 11 месяцев назад

The only educational channel I'll watch when I already understand the subject

@EEEEEEEE 11 месяцев назад

@intercakefederation 11 месяцев назад

@@EEEEEEEEF

@Emmet0223 11 месяцев назад

Same. Learned this beginning of last year but it is so much more engaging

@BambinaSaldana 9 месяцев назад

@@EEEEEEEE F

@_________________404 6 месяцев назад

41%

@Lionbug 11 месяцев назад

The encouragements to pause and think through things are _vital_ to get people to actually _understand_ and not just watch the video and forget immediately. Very well done all around!

@navetal 11 месяцев назад

4:28 I love the enthusiasm of the blob on the left who keeps on trying to score.

@EEEEEEEE 11 месяцев назад

‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎E

@littlevirus3562 11 месяцев назад

@@EEEEEEEE mate, a E has escaped your cage

@ASocialistTransGirl 11 месяцев назад

@@EEEEEEEE bro is spamming E on all videos

@trimonmusic 11 месяцев назад

I hadn't noticed this, thanks!

@UserStillLoading 11 месяцев назад

its a good *year* when Primer uploads

@PrimerBlobs 11 месяцев назад

hey

@APaleDot 11 месяцев назад

This isn't over-explained at all. This is the kind of explanation I've been looking for for so long!

@DuchessEvie 3 месяца назад

The blob at the end is just footage of me trying to play basketball

@pnku 11 месяцев назад

"your team's yasuo actually being good" is a reference i didn't expect at all, love your videos, was super excited to see this video in my sub box

@_chishika_ 11 месяцев назад

one day in the future, this is gonna be played in a classroom for a maths class, and your gonna make a lot of people laugh and understand this a much better and get their foot into the doors of stats and further stats. amazing vid

@frootjupes 11 месяцев назад

I wish I'd had this when covering counting problems! Your explanations and visuals are so much easier to comprehend than the lectures I read.

@justinlindfors8512 11 месяцев назад

He should be the next channel to be featured in schools!

@Zmit 11 месяцев назад

Oh how I have missed the blobs engaging in simulations. So nice to see a new video. As always a pure delight to be able to learn and be entertained at the same time. All education should be this way.

@KevinTan 11 месяцев назад

*"You miss all the shots you don't take"* - Michael Scott, The Office

@kelkin2576 11 месяцев назад

15:12 I cheered so loud congrats buddy you did it

@nataliabasile752 11 месяцев назад

I can not believe it. I love your videos so much. I actually discovered your channel this morning. When I entered it and saw your last video was from ten months ago I thought you wouldn't be doing more videos. So the fact that on the same day I found you, you put a video makes me so happy. Keep it up, the blobs are the best

@ImThylacine 11 месяцев назад

This is a wonderfully succinct and comprehensive explanation of this topic that actually covers the reasons *why* the formula was constructed the way that is, not just how to use it. My math-teacher mom and I approve. I love the rest of your bio, econ, and math stuff, too. Here’s hoping the algorithm feeds this to more people!

@Bambutcher2 11 месяцев назад

I'm so glad you did this video cos just the other day I was cracking my head on a similar problem and couldn't make out how binomial coefficient work on my own, thanks a lot for making it crystal clear. Great job, as always!

@SL-ef8jv 11 месяцев назад

Just learned this in class, and you helped me understand this so much better. Thank you so much!

@ruzgar1372 12 дней назад

I would have had less trouble with combinations and probabilities in highschool if this video existed back then. Very nice and intuitive explanation.

@Meymoi 11 месяцев назад

Oh wow I was just looking at your channel and wondering when you would post next, I'm glad to be able to watch a new video of yours, they're always great!

@batmanthedarkestknight 11 месяцев назад

You can’t imagine how happy I was to see you coming back! Your videos are so good! Keep going! ❤

@bassoonatic777 11 месяцев назад

This is quite good. If I still taught Prob and Stats, I'd share this in my class.

@loopeater8338 11 месяцев назад

How did you reply to this 1 day ago???

@thekeyboardwarrior1018 11 месяцев назад

Hold up how did this comment become 1 day old but the video isn't an hour old

@FriesOnYt 11 месяцев назад

wtf how did you comment one day ago the video was made 38 seconds ago

@AceFaz 11 месяцев назад

@@loopeater8338 Video was unlisted before releasing, and they had the link to view it.

@AceFaz 11 месяцев назад

@Don't Read My Profile Picture wasn't planning on it

@viliuskripas4425 11 месяцев назад

I love these blobs! And the topics in your videos are covered in such an easy-to-follow fashion. Thank you so much for making them!

@ethanpetersen810 7 месяцев назад

The blobs are adorable! Definitely going to ask for a plush or two this Christmas And seeing that this channel doesn’t overload one with videos, I subscribed pretty dang fast.

@strawberry942 11 месяцев назад

This is great timing! I have my maths A level mock in a few weeks, and I'm not the biggest fan of stats, so this is really useful for brushing up on it.

@HarryHughAndYou 11 месяцев назад

I love your videos, every time you release one it’s like everything else freezes and I half to watch your video. Keep up the good work

@thekeyboardwarrior1018 11 месяцев назад

I'm abot

@feyblack2197 11 месяцев назад

So glad you brought this equation back to talk about. One of my favorite videos you've done is the coin flip one and I like using the binomial distribution formula when I can, but always forget what the values would stand for and I'd have to go to the linked video to remind myself. This will be much easier to find and sit through.

@jeremyelser8957 11 месяцев назад

Such impressive visualizations. The little extra efforts like making the numbers move or blink to guide the eye are very helpful.

@matchanik 11 месяцев назад

No puedo explicar cuanto hubiera querido tener este tipo de explicación en la época de estudiante. Excelente!

@Misstborn 11 месяцев назад

As someone who just took stat, this was a really nice reminder of the logic behind everything and made me actually think about math for the first time in a few weeks. Fantastic video!

@_________________404 6 месяцев назад

41%

@flipgalaxy711 11 месяцев назад

Perfect timing for my A-level Stats paper in two days time!!!

@marcboss 11 месяцев назад

I have been waiting for more videos, thanks for posting!

@VexWythe 11 месяцев назад

my immediate thought when watching this, given the free-throw example from basketball, is calculating the odds of any given baseball pitcher throwing a perfect game (a game where not a single opposing batter gets on base over all nine innings) based on their WHIP statistic (walks and hits per inning pitched)! very cool video, as always :)

@christinemeili2398 11 месяцев назад

I’ll keep this in my pocket for when I have my statistics class this autumn

@richardcampbell4506 11 месяцев назад

Easily the best description of Binomial distributions and, most importantly, the fundamentals that support it. Fantastic! I’ll be sharing it with my son. thank you 👍

@AzizbekSheripboev 11 месяцев назад

The last line really hit me and made me subscribe. Love your videos. Keep going!

@MaxCubing11 11 месяцев назад

If Primer uploads a video, you know it's a good day

@molybd3num823 11 месяцев назад

primer

@MaxCubing11 11 месяцев назад

@@molybd3num823 sorry, autocorrector

@RudyOMP 11 месяцев назад

I wish this video came out like 5 years ago when I had to learn this

@PrometheusMMIV 11 месяцев назад

I love these videos. You have a great way of explaining things in a very intuitive way. I especially liked the demonstrations for calculating the binomial coefficient. Showing that the Nth blob added to the list can be inserted in N different positions really helps solidify why ordering is calculated using factorials*. And then using that to remove the duplicates from each group made a lot more sense than just trying to memorize the formula. * The way I usually think about ordering is if I have N items, then the first one in the list could be any of the N items, then the second could be any of the remaining N-1 items, then N-2, and so on until the last one.

@karansmittal 11 месяцев назад

It was amazing to watch the whole content. super high quality, kudos to the amazing team and hard work behind it

@stanlee268 11 месяцев назад

Love your videos.Keep up the good work.

@PrimerBlobs 11 месяцев назад

I will try. >_

@puffer2939 11 месяцев назад

Whenever Primer uploads. It’s a good day.

@superson5586 11 месяцев назад

I really enjoy the style that you present in and would love to see more videos. I love getting your notifications.

@blacky____05 11 месяцев назад

This isn't overexplained, this is the explanation I wish I'd gotten in school. Thx 👌

@LordHakkera 11 месяцев назад

Absolutely love your content. Almost yelled out "BLOB GUY HAS A NEW VIDEO" when I saw this in my feed earlier. I can only assume how much effort goes into these videos, but I sincerely hope you'll keep making them - they are truly awesome.

@olle267 11 месяцев назад

Babe, wake up. Primer just posted 🎉🎉🎉

@samjam1992feb 8 месяцев назад

Very Few Times I have seen someone explaining such concepts with such clarity.Thanks, A lot

@MrProfessorFelipe 11 месяцев назад

A única coisa ruim desse canal é que ele deveria postar vídeos todos os dias. MUITO BOM!

@saram3604 11 месяцев назад

Keep up the good work!

@PrimerBlobs 11 месяцев назад

Thanks, Sara!

@DavidMarketh 11 месяцев назад

OMG it’s Primer

@giuseppebuonomo7241 5 месяцев назад

Beautifully explaine dand visualized. I love how in detail everything is explained. Thanks!

@midnight4685 11 месяцев назад

Thanks! This was something I studied earlier in the year, was really interesting to see it explained again, and quite well too.

@ilikeplanes5292 11 месяцев назад

I litteraly just learnt this exact thing for the first time in my maths lesson yesterday!! What are the chances!?

@PrimerBlobs 11 месяцев назад

100%

@ilikeplanes5292 11 месяцев назад

@@PrimerBlobs Did you use the formula to get to that conclusion 😅

@randy3222 11 месяцев назад

My teams yasuo being good is always 0%

@thekeyboardwarrior1018 11 месяцев назад

I'm a bot

@bogdanbusui5249 11 месяцев назад

On Friday I just had my Uni Probability exam and part of what we learned is exactly this. Awesome video and explanations, as always actually!!

@victor_lu 4 месяца назад

Thank you for that great video, your videos always make me understand those topics deeper.

@beb6c2a 11 месяцев назад

A statistics video from Primer right as I am about to start my Stats this semester and I love it!

@laughsingay 11 месяцев назад

Yay! Finally another post! I love your videos, they're educational but in a way that entirely makes sense and is also fun to watch because of the animations. :)

@user-db4lk7yg3o 11 месяцев назад

I recently finished alg 2 and we learned this but skipped over most of the explanation and went right to the combinations and permutations, it's nice to learn more about what makes these formulas work.

@ajtroyer76 11 месяцев назад

Beautiful! Oh this is perfect! I tutor genetics and have some students that struggle with statistics, and I am going to tuck this into my tool box! Thanks for making the math pretty, well chewed, and easy to digest. I've already used some of your other videos with positive feedback, I just hope the next wait for a new one isn't as long as the last.

@erinkarp 11 месяцев назад

Always glad to see another Primer vid!

@vkn3682 11 месяцев назад

Exactly the explanation I was looking for! Great video!

@timnauwelaers6876 10 месяцев назад

This video is such an amazing tool to understand the subject. The visuals are just perfect to support the theoratical part❤ Yet again amazing job!!

@navalshah5999 11 месяцев назад

This is so amazing! The graphics are super well done too. Thank you Primer!

@TheWizardsOfOz 11 месяцев назад

I love these videos you make, they are instructive with a fun way to learn.

@MattTrevett 4 месяца назад

It really makes sense now why you subtract in the parentheses before the factorial. Thanks for the video!

@25thEffect 11 месяцев назад

these videos really cement in the fact that i prefer statistics/combinatorics to things like calculus. i struggle to pay attention to and care about what goes on in my calculus classes, but i willingly watch, stay engaged with, and seek out more content focusing on this sort of stuff. thanks for reminding me that not all math is nightmarish 😉

@aepokkvulpex 11 месяцев назад

The slowest rolling basketball finally falling around 2:44 was so satisfying

@pimderijke4560 11 месяцев назад

You make this so understandable and clear! Keep up the good work man

@Lightheartednecromancer 11 месяцев назад

when you only know one word from the title you just know it’s gone be good

@MaskedDeath_ 11 месяцев назад

I've had combinatorics in high school, and we did "learn" the formula there - as in, "this is the formula, you need to remember it because it works". Thanks to this video, I've finally understood where the formula comes from. Thanks!

@matthijsperabo7282 10 месяцев назад

Just had a test about this last week, awesome video, would have loved to see it back then.

@jrodartec 10 месяцев назад

I always watch primer, regardless of the subject, because if I do not know it its a great opportunity to learn it, and if I already know it its still a great opportunity to learn about communication and didactics. I always end the video feeling smarter and that keeps me engaged. Thank you very much for the effort in making these as easy-to-understand as possible!

@chazhovnanian6897 11 месяцев назад

a primer vid on my math curriculum just in time for exams, literally what could be better

@Matheusramoss17 4 месяца назад

what a amazing video, the best class I've ever watched about binomial distribution along with this clear and well-done animation transformed this simple 15min video into a masterpiece, congrats 👏🏼👏🏼👏🏼

@hellopeoples8 11 месяцев назад

I do a lot of statistics for work, and I still watched this video because a) always great to review the fundamentals and b) your videos are just that good.

@metalpunk 10 месяцев назад

6:18: "These blobs don't even have the memory of a goldfish" Blob gives a lil smile. They're so precious. I love them

@antwidavid389 10 месяцев назад

I absolutely loved this! You should do one on geometric distribution and normal distribution!!

@marcomonti5758 10 месяцев назад

Fantastic video! The quality has really gone up recently!

@sajinth2006 11 месяцев назад

Thank you for this, I always struggled with binomial distribution but this video makes it very easy to understand

@Ma-pz5kl 5 месяцев назад

so great. and the blobs made it fun to learn. well done sir !

@lycanlycan1802 11 месяцев назад

It’s a good year when primer upload ❤

@streambotnt2095 11 месяцев назад

I am supposed to learn this for school and my teacher unfortunately isn't the best when it comes to explaining, so it is very nice to have you make a video on this topic.

@Skeffles 9 месяцев назад

Great video. Really well explained!

@hollowshiningami3080 11 месяцев назад

Brooo... It's Primer! He's back! Jokes aside I love your videos man, hope to see more of you soon 👊

@c3cris2 11 месяцев назад

Yay I’ve been waiting for a video from you!!!

@B0NES48 11 месяцев назад

It’s always a great day for a Primer video!!!

@Thiago100Zwetsch 11 месяцев назад

I was really missing these videos!!

@ozargaman6148 11 месяцев назад

Omg a new Primer video just dropped

@Eggmanlover 10 месяцев назад

holy moley I never learned about this in school, but I've occasionally been interested in calculating probabilities for certain things, and my eyes glazed over when I looked up binomial distribution, but seeing it here, it's gotten a LOT easier to understand... nice video!