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?
For discussion and updates
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- Reddit: r/primerlearning
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Пікірлер: 1 300

  • @trees9363
    @trees936311 ай бұрын

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

  • @PrimerBlobs

    @PrimerBlobs

    11 ай бұрын

    :)

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    11 ай бұрын

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    11 ай бұрын

    Same! :)

  • @person8064

    @person8064

    11 ай бұрын

    :]

  • @Kathen

    @Kathen

    11 ай бұрын

    :3

  • @Absolutemenace_
    @Absolutemenace_11 ай бұрын

    This is literally our math subject rn. Thanks man.

  • @NoTNoL

    @NoTNoL

    11 ай бұрын

    Same

  • @PrimerBlobs

    @PrimerBlobs

    11 ай бұрын

    This one's for you

  • @Absolutemenace_

    @Absolutemenace_

    11 ай бұрын

    @@PrimerBlobs 🙏

  • @duythuchoang5095

    @duythuchoang5095

    11 ай бұрын

    ​@@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

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    11 ай бұрын

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    The return of the king

  • @williamdaniel2519

    @williamdaniel2519

    11 ай бұрын

    Yeah

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    11 ай бұрын

    Biggest W of June so far

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    11 ай бұрын

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    @volodyadykun6490

    11 ай бұрын

    Every his video is return?

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    @lety18chula

    11 ай бұрын

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

  • @angelus8521
    @angelus852111 ай бұрын

    Primer is the only educational KZreadr I watch cause he makes it fun

  • @spmagic9083

    @spmagic9083

    11 ай бұрын

    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

    @infinitum-repertorium

    11 ай бұрын

    ​@@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

    @Ennar

    11 ай бұрын

    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

    @EEEEEEEE

    11 ай бұрын

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  • @suicidebxmber1234

    @suicidebxmber1234

    11 ай бұрын

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

  • @dragonfriend9364
    @dragonfriend936411 ай бұрын

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

  • @PrimerBlobs

    @PrimerBlobs

    11 ай бұрын

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

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    @piggydabest

    11 ай бұрын

    ​let the man cook

  • @jaideepshekhar4621

    @jaideepshekhar4621

    11 ай бұрын

    Same! :(

  • @dragonfriend9364

    @dragonfriend9364

    11 ай бұрын

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

  • @CrittingOut

    @CrittingOut

    11 ай бұрын

    @@PrimerBlobs good to hear

  • @Silliestgooberz
    @Silliestgooberz11 ай бұрын

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

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    11 ай бұрын

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  • @joshavery

    @joshavery

    11 ай бұрын

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

  • @Patrick-Hartford

    @Patrick-Hartford

    10 ай бұрын

    same

  • @alexanderwolf7514
    @alexanderwolf751411 ай бұрын

    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

    @patrickwienhoft7987

    11 ай бұрын

    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

    @anthonynorman7545

    10 ай бұрын

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

  • @47Mortuus

    @47Mortuus

    10 ай бұрын

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

  • @anthonynorman7545

    @anthonynorman7545

    10 ай бұрын

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

  • @47Mortuus

    @47Mortuus

    10 ай бұрын

    @@anthonynorman7545 stay ignorant :)

  • @RickachuCXVI
    @RickachuCXVI11 ай бұрын

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

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    @EEEEEEEE

    11 ай бұрын

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    4 ай бұрын

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  • @ChrisPhelior
    @ChrisPhelior11 ай бұрын

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

  • @doomse150

    @doomse150

    11 ай бұрын

    That LoL reference came completely out of nowhere.

  • @xavierburval4128

    @xavierburval4128

    11 ай бұрын

    Yeah I was way too surprised by that lol

  • @TheAlexN1305

    @TheAlexN1305

    11 ай бұрын

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

  • @doomse150

    @doomse150

    11 ай бұрын

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

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    @jiyuandong8964

    11 ай бұрын

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

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

  • @jamiedytham5276
    @jamiedytham527611 ай бұрын

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

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  • @Emmet0223

    @Emmet0223

    11 ай бұрын

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

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    9 ай бұрын

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  • @_________________404

    @_________________404

    6 ай бұрын

    41%

  • @Lionbug
    @Lionbug11 ай бұрын

    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
    @navetal11 ай бұрын

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

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    11 ай бұрын

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    11 ай бұрын

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    11 ай бұрын

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  • @trimonmusic

    @trimonmusic

    11 ай бұрын

    I hadn't noticed this, thanks!

  • @UserStillLoading
    @UserStillLoading11 ай бұрын

    its a good *year* when Primer uploads

  • @PrimerBlobs

    @PrimerBlobs

    11 ай бұрын

    hey

  • @APaleDot
    @APaleDot11 ай бұрын

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

  • @DuchessEvie
    @DuchessEvie3 ай бұрын

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

  • @pnku
    @pnku11 ай бұрын

    "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_
    @_chishika_11 ай бұрын

    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
    @frootjupes11 ай бұрын

    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

    @justinlindfors8512

    11 ай бұрын

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

  • @Zmit
    @Zmit11 ай бұрын

    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
    @KevinTan11 ай бұрын

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

  • @kelkin2576
    @kelkin257611 ай бұрын

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

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    @nataliabasile75211 ай бұрын

    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
    @ImThylacine11 ай бұрын

    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
    @Bambutcher211 ай бұрын

    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
    @SL-ef8jv11 ай бұрын

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

  • @ruzgar1372
    @ruzgar137212 күн бұрын

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

  • @Meymoi
    @Meymoi11 ай бұрын

    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
    @batmanthedarkestknight11 ай бұрын

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

  • @bassoonatic777
    @bassoonatic77711 ай бұрын

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

  • @loopeater8338

    @loopeater8338

    11 ай бұрын

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

  • @thekeyboardwarrior1018

    @thekeyboardwarrior1018

    11 ай бұрын

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

  • @FriesOnYt

    @FriesOnYt

    11 ай бұрын

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

  • @AceFaz

    @AceFaz

    11 ай бұрын

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

  • @AceFaz

    @AceFaz

    11 ай бұрын

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

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    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
    @ethanpetersen8107 ай бұрын

    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
    @strawberry94211 ай бұрын

    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
    @HarryHughAndYou11 ай бұрын

    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

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    @thekeyboardwarrior1018

    11 ай бұрын

    I'm abot

  • @feyblack2197
    @feyblack219711 ай бұрын

    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
    @jeremyelser895711 ай бұрын

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

  • @matchanik
    @matchanik11 ай бұрын

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

  • @Misstborn
    @Misstborn11 ай бұрын

    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

    @_________________404

    6 ай бұрын

    41%

  • @flipgalaxy711
    @flipgalaxy71111 ай бұрын

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

  • @marcboss
    @marcboss11 ай бұрын

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

  • @VexWythe
    @VexWythe11 ай бұрын

    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
    @christinemeili239811 ай бұрын

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

  • @richardcampbell4506
    @richardcampbell450611 ай бұрын

    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
    @AzizbekSheripboev11 ай бұрын

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

  • @MaxCubing11
    @MaxCubing1111 ай бұрын

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

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    @molybd3num823

    11 ай бұрын

    primer

  • @MaxCubing11

    @MaxCubing11

    11 ай бұрын

    @@molybd3num823 sorry, autocorrector

  • @RudyOMP
    @RudyOMP11 ай бұрын

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

  • @PrometheusMMIV
    @PrometheusMMIV11 ай бұрын

    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
    @karansmittal11 ай бұрын

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

  • @stanlee268
    @stanlee26811 ай бұрын

    Love your videos.Keep up the good work.

  • @PrimerBlobs

    @PrimerBlobs

    11 ай бұрын

    I will try. >_

  • @puffer2939
    @puffer293911 ай бұрын

    Whenever Primer uploads. It’s a good day.

  • @superson5586
    @superson558611 ай бұрын

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

  • @blacky____05
    @blacky____0511 ай бұрын

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

  • @LordHakkera
    @LordHakkera11 ай бұрын

    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
    @olle26711 ай бұрын

    Babe, wake up. Primer just posted 🎉🎉🎉

  • @samjam1992feb
    @samjam1992feb8 ай бұрын

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

  • @MrProfessorFelipe
    @MrProfessorFelipe11 ай бұрын

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

  • @saram3604
    @saram360411 ай бұрын

    Keep up the good work!

  • @PrimerBlobs

    @PrimerBlobs

    11 ай бұрын

    Thanks, Sara!

  • @DavidMarketh

    @DavidMarketh

    11 ай бұрын

    OMG it’s Primer

  • @giuseppebuonomo7241
    @giuseppebuonomo72415 ай бұрын

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

  • @midnight4685
    @midnight468511 ай бұрын

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

  • @ilikeplanes5292
    @ilikeplanes529211 ай бұрын

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

  • @PrimerBlobs

    @PrimerBlobs

    11 ай бұрын

    100%

  • @ilikeplanes5292

    @ilikeplanes5292

    11 ай бұрын

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

  • @randy3222
    @randy322211 ай бұрын

    My teams yasuo being good is always 0%

  • @thekeyboardwarrior1018

    @thekeyboardwarrior1018

    11 ай бұрын

    I'm a bot

  • @bogdanbusui5249
    @bogdanbusui524911 ай бұрын

    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
    @victor_lu4 ай бұрын

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

  • @beb6c2a
    @beb6c2a11 ай бұрын

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

  • @laughsingay
    @laughsingay11 ай бұрын

    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
    @user-db4lk7yg3o11 ай бұрын

    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
    @ajtroyer7611 ай бұрын

    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
    @erinkarp11 ай бұрын

    Always glad to see another Primer vid!

  • @vkn3682
    @vkn368211 ай бұрын

    Exactly the explanation I was looking for! Great video!

  • @timnauwelaers6876
    @timnauwelaers687610 ай бұрын

    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
    @navalshah599911 ай бұрын

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

  • @TheWizardsOfOz
    @TheWizardsOfOz11 ай бұрын

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

  • @MattTrevett
    @MattTrevett4 ай бұрын

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

  • @25thEffect
    @25thEffect11 ай бұрын

    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
    @aepokkvulpex11 ай бұрын

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

  • @pimderijke4560
    @pimderijke456011 ай бұрын

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

  • @Lightheartednecromancer
    @Lightheartednecromancer11 ай бұрын

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

  • @MaskedDeath_
    @MaskedDeath_11 ай бұрын

    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
    @matthijsperabo728210 ай бұрын

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

  • @jrodartec
    @jrodartec10 ай бұрын

    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
    @chazhovnanian689711 ай бұрын

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

  • @Matheusramoss17
    @Matheusramoss174 ай бұрын

    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
    @hellopeoples811 ай бұрын

    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
    @metalpunk10 ай бұрын

    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
    @antwidavid38910 ай бұрын

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

  • @marcomonti5758
    @marcomonti575810 ай бұрын

    Fantastic video! The quality has really gone up recently!

  • @sajinth2006
    @sajinth200611 ай бұрын

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

  • @Ma-pz5kl
    @Ma-pz5kl5 ай бұрын

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

  • @lycanlycan1802
    @lycanlycan180211 ай бұрын

    It’s a good year when primer upload ❤

  • @streambotnt2095
    @streambotnt209511 ай бұрын

    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
    @Skeffles9 ай бұрын

    Great video. Really well explained!

  • @hollowshiningami3080
    @hollowshiningami308011 ай бұрын

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

  • @c3cris2
    @c3cris211 ай бұрын

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

  • @B0NES48
    @B0NES4811 ай бұрын

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

  • @Thiago100Zwetsch
    @Thiago100Zwetsch11 ай бұрын

    I was really missing these videos!!

  • @ozargaman6148
    @ozargaman614811 ай бұрын

    Omg a new Primer video just dropped

  • @Eggmanlover
    @Eggmanlover10 ай бұрын

    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!

  • @no-handle-for-you-youtube
    @no-handle-for-you-youtube11 ай бұрын

    Just discovered this channel, very fun and entertaining, love your videos.

  • @vighneshraman1784
    @vighneshraman178411 ай бұрын

    So glad to see your video after sooooo long

  • @BazilRat
    @BazilRat11 ай бұрын

    You're back! One of the best math channels on YT