An Introduction to the Binomial Distribution

[@KetanSingh]

How the heck am I finding this channel only in 2019? This is a gem of a channel!

[@jbstatistics]

Thanks!

[@mndlgaming]

here i found this in 2024

[@jbstatistics]

Hi. Thanks for the feedback. Most of my videos move at a fairly quick pace, but some are a little bit slower. I take a bit of a different approach than many others, and moving things along at a decent clip is part of that approach. My pace in this particular video is just a smidgen faster than I'm aiming for. I imagine that at some point in the not-too-distant future, we'll have full control over playback speed so it will be easy to adjust that to one's own tastes. Cheers.

[@janeadita7489]

your prediction was right!

[@amritas2400]

Prophet

[@jackshaak]

Spot on, sir! And many thanks for the great tutorial !

[@msachinkumar9886]

genuinely your explanation are bit fast but they are very precise and very good ,thanks for helping so many and ofcourse me.

[@thomasnielsen5580]

He saw the future

[@TheBoltMaster456]

You explained this in 15 minutes better than my professor could in 50 minutes. Amazing. You earned a subscriber.

[@Mr.Manneh]

I discovered this beauty of a channel in 2024 😭, can you imagine?

[@jbstatistics]

Thanks! High quality then, high quality now :)

[@timurakhtemov7177]

My professor does not explain this NEARLY as good as you. Everything I learned in class felt like a jumbled mess. You took all of that and made it crystal clear. Thank you so much.

[@estherdampson2172]

exactly

[@tychothorpe4515]

where Khan Academy failed you my friend helped loads

[@jbstatistics]

I'm glad to hear it helped! Cheers.

[@surujdeka8544]

Tycho Thorpe me also bro.khan academy 🤕🤕🤕

[@monalisanokhemane3099]

@@surujdeka8544 I also just came from a Khan academy to this one

[@johnhammer8668]

@@monalisanokhemane3099 So true

[@archanamaurya89]

@@monalisanokhemane3099 Hahaha, wow! I really thought I was the only one like that. Felt dumb to not understand even Khan academy video because they teach school level stuff, but this video did much much better than KA :)

[@patriciapinilla6654]

Extremely well explained, very clear and very logical presentation. It is one of the best educational videos I've seen. Thank you!

[@cobblebrick]

I'm watching this after a long day at 6 am and it STILL makes sense. That's how good this video is.

[@j.o.s.h.o]

These videos are SO good. They should be supplemental material for all intro uni stats courses

[@jbstatistics]

Thanks for the very kind words!

[@justinrobertson6693]

I missed 3 lectures due to work and an illness. Thank you very much for making such wonderful videos illustrating these topics.

[@jbstatistics]

+Justin Robertson You are very welcome Justin. I'm glad you've found them helpful!

[@colemckinnon6402]

Seriously some of the highest quality math lessons I've come across!

[@jbstatistics]

Thanks!

[@supernova7870]

Watching this video in 2020 , still can't believe you deliver this quality content 7 years back . Truely Amazing.

[@sivakumar-vn7ex]

6:42 Bro ,can you tell me why he is forming a tree like that? I can't understand the tree structure.

[@scholium3370]

In around 14 minutes you made the binomial distribution crystal clear, whereas my lecturer couldn't do it using 120. My hat stays off around you sir.

[@greenElement]

Meanwhile my textbook is speaking to me in a foreign language. Thank you so much!

[@anavillanua6505]

I'm from Spain, and I always see your videos when I need help because the way you explain the lesson is awesome and your pronunciation helps me a lot. Thank you so much!!!

[@jbstatistics]

+Ana Villanúa You are welcome Ana! I'm very glad to be of help!

[@Informative-and-unfortunate]

I feel like skipping the rest of my 55min lectures, which I don't understand at all, and just watch your videos. It would be much more efficient. Thanks again!

[@greenElement]

That attendance policy

[@CrystalDataMusic]

Your videos are very helpful. Also your voice is pleasant.

[@jbstatistics]

+CrystalData Thanks!

[@VazkuuBruh]

Hi JB, I was wondering if you could tell me why count the probability of failure too? For example, most questions ask for the probability of success but for some reason we count the failure too? Why is that?

[@joshuafann9650]

Because you are calculating the probability of X=x, or that x is equal to exactly something. By leaving off the probability of failure, then you are essentially saying the third roll doesn't matter, it can be a success or failure. For example, in the die problem, we were looking for exactly two 5s. However, if you calculate just the probability of two successes and leave off the third roll, then you get 0.083. Now, notice that if you calculate the probability of exactly two successes and a failure you get 0.069, and if you calculate the probability of exactly three successes then you get 0.014. Adding these together you get 0.083. Therefore, if we are looking for exactly two successes and one failure, then we need to add the probability of the failure in, which in the case of the die example, gives us 0.069.

[@benpct5555]

The best is when you watch it on 2x speed

[@steshanplaci6373]

Flirting in the classroom *wink* *wink*

[@freakphysics]

Man, seriously, as an educator myself I can tell you are outstandingly good at this.

[@vonfiller5166]

i need help i dont get howhe got 0.173 at 11 mins

[@BigBrothersEnd]

You are the savior of an entire generation of mathematician.

[@me-bw9cz]

11 yrs ago and It's still helping lots of students all around the globe

[@grin2a715]

This channel is God sent and will absolutely save my ass at the dreaded probability exam. thank you so much. i don't know why is it so hard for a uni teacher to explain in this way

[@djgumz7063]

You just saved my degree thanks

[@opq3264]

ill wait till i see my mark to say the same

[@мВладислав]

@@opq3264 and how?

[@opq3264]

м Владислав My final is next week , but let me tell it’s not looking good at All for me 🤦‍♂️

[@viktorbranco8362]

Are you rich now?

[@мВладислав]

@@viktorbranco8362 haha :D

[@TinyMaths]

This gave so much clarity amidst the confusion I had on this subject. You made it seem so simple. Thank you.

[@jbstatistics]

I'm glad to be of help!

Excellent Video :) Truely , you are the best teacher.

[@Romeo-sf7tw]

Mans a legend.

[@wavvy94]

The explanation as to why p^x (1-p)^(n-x) works for evaluating the probability of a single given arrangement... brilliant! It never occurred to me that it's simply a joint probability. The whole theorem makes perfect sense to me now - I'd be at such a loss without these videos. Thank you!

[@jbstatistics]

I'm glad to be of help!

[@mywellbeing985]

Thanks a lot! You saved my grade!! My professor and textbook are horrible

[@vladimirputin7407]

This is the best statistics channel and the best statistics teacher !!!!

[@InLoveWithFunkyPanda]

this is so great. this is the third video I watch in a row because those topics are part of 1 chapter that I have on my Midterm on Saturday. and you're covering them quite nicely !! :)

[@InLoveWithFunkyPanda]

It's like you're doing exactly what my teacher wants me to learn for my exam! haha

[@lilredcrayon]

You're quite articulate, JB. The visualizations really help. It helps that you do several examples from different angles for each problem. Thanks for connecting the dots!

[@jbstatistics]

You are very welcome!

[@alireza98325]

I can't think of a better explanation than yours.

[@adammontgomery7980]

I love having equations explained to me in a way I understand. Thank you

[@joycewu7703]

Bro, you are saving my life :) Thanks for your uploading in 2013.

[@TakeFlow1]

well, it seems that youtube is the future of learning the quality of these videos is way higher than college lectures

[@gogaqazi]

Sir!!! I salute you!!! Thanks a lot for your lectures. I am enjoying your lectures. i was so scared of probability. THANKS A LOT SIR!!! GOD BLESS YOU. i was almost at the verge to drop this class, and your lectures has just showed me some hope.

[@jbstatistics]

You are very welcome Usman! I'm very glad you've found my videos helpful. All the best.

[@stefaniac2095]

amazing teacher, you made my statistics class go by smoothly. Thank you.

[@JohnCena-hu3jq]

hidden gem of youtube

[@jbstatistics]

Indeed :)

[@jayweber3020]

Dude is an amazing instructor and secretly funny af. thanks for saving my grade!

[@ishamathstea9019]

I have just posted how to find probability using Binomial Distribution..... I hope it's helpful....

[@adamcrompton3514]

literally the best most easy to understand explanation i have found for this! nice one !

[@jbstatistics]

+Adam Crompton Thanks!

[@adamcrompton3514]

no, thank you !

[@yagzyalcntas553]

this one hell of a good explanation!! didnt even need to use my brain to understand this, smooth as butter.

[@tracyholtz6525]

Once again thank you. My instructor teaches in the same manner that you do and with these videos to reinforce everything it gives me the supplemental instruction I need. I am going to subscribe to this channel and use these videos to help study for my tests.

[@jbstatistics]

You are very welcome Tracy. I hope you find my videos very helpful!

[@alialden1258]

You are awesome. I hope you never stop doing this.

[@Stiggy771]

I guess the two dislikes are by lazy professors.. Thanks again jb.... You've saved me again.... First it was ANOVA, and now its this...Extremely helpful. Keep up the good work.

[@jbstatistics]

Thanks Rahul. I'm glad to be of help.

[@niajones208]

I was failing A level maths and this helped so so so much, thank you so much

[@Mwonawangu]

Thank you for helping all of us...One topic at a time. From my bachelors to masters, you always had my back

[@ijl0322]

Totally saved my life! Your discrete probability videos are great! Thank you so much !

[@EWOKakaDOOM]

You are a fucking savior.

[@margaretdesser2376]

I cannot wait for the day where university is just a collection of the best videos on the internet such as these instead of having to waste hours listening to bad teaching.

[@yeah1010101]

Your videos are the best!!! Seriously, thanks for saving my stats grade!!

[@jbstatistics]

+canucklehead You're very welcome! Thanks for the compliment!

[@interestingstudies4422]

Best teacher for stats..with him stats is simple ☺️🙏🏻🙏🏻

[@estherdampson2172]

very educative ..your videos help me use just a day to understand all the concepts taught in a semester..

[@jbstatistics]

You are very welcome Ahmed. I'm glad to hear my video helped!

[@alexu5401]

Thank you very much for uploading these videos. Im currently in my corporate statistics II course and now is all clear

[@regan199827]

Thank you very much! You're Awesome! I finally understand what's Binomial Distribution. My maths teacher simply gave all of us the formula and tell all of us to use the formula with explaining what's the formula is about.

[@jbstatistics]

I'm glad to be of help!

[@lisahenry8492]

Your videos are very helpful as I gain understanding in sitting my P-exam.

[@jbstatistics]

I'm glad to be of help Lisa. Best of luck on the exam.

[@daegudude1048]

It was a lot easy to understand with your video than my professors. Thanks :)

[@achievementcell4631]

Lord you made my day. Where my own head, my books, my notes, my teacher, my colleagues, khan academy, and all internet sources failed, you succeeded. Thank you, savior.

[@jbstatistics]

I've always been here -- you could have come here first! In any event, I'm glad to be of help!

[@thanhlengocvan2003]

you are the best teacher of statistics! love you~

[@IqraRiazRana]

i can't like this video enough(usually i dont comment very much but this thing i could not understand and you explained it very well!! may Allah bless you!!!)

[@jbstatistics]

Happy to be of help! Thanks for the kind wishes :)

[@lilyT_M_]

studying for p exam and your videos help a lot thank you!

[@clarissalim1960]

Dude thank you so much, I learnt more in 15 mins than in my 3-hour PhD-produced lecture

[@jbstatistics]

You're welcome. But to be fair, this is a 15 minute PhD-produced lecture :)

[@clarissalim1960]

@@jbstatistics must be something in the water...

[@belgiemijntweedehuis3256]

Thank you so much jbstatistics. Your videos are very informative, useful with clear explanation, notation and remakr. I find it is easy to follow things via your video. I already passed the course concepts of probability in statistics. However, I still need to come back these videos to understand deeply the concepts. Thanks one more time.

[@jbstatistics]

You are very welcome Thao. I am very glad to hear that you've found my videos helpful! All the best.

[@himanshusoni1422]

Thanks for the video! You explained it in a much better way than my professor.

[@jbstatistics]

I'm glad to be of help!

[@diencai1812]

Love your work! Thank you so much for educating me.

[@ishamathstea9019]

Hye Dien 💓 I have just posted how to find probability using Binomial Distribution..... I hope it's helpful....

[@ThePalakmehta]

your videos are really helpful sir......they make topics more clearer and easy to understand.....thanks for your uploads

[@jbstatistics]

You are very welcome Palak. I'm glad I could be of help!

[@salaheamean]

amazing video, helping in my grad school to recall some basic things.. great skills that u have sir

[@celalozdemir8565]

im so sad that i found this channel a day before my statistics final

[@jbstatistics]

Better to find the good stuff a little late than not at all. I hope your final goes well!

[@KirillBezzubkine]

6:05 - that was the key revelation to me about the formula!!!

[@harvey2539]

You explain everything with amazing clarity. Thank you!

[@jbstatistics]

You are very welcome! Thanks for the compliment!

[@lisapurnawati884]

Bravo! Your explanation is very clear and helpful! Excellent!

[@jbstatistics]

Thank you! I'm glad to be of help.

[@k2d10tode11]

ok i subscribed! this was self enlightened! i always had problems with this! i will come back and say thank after the results in August.

[@ScilexGuitar]

6:33 This REALLY helped me understand that formula. Thank you!

[@jbstatistics]

Thanks for the feedback! Many people do find that part helpful in understanding the formula. Cheers.

[@ScilexGuitar]

I wish you had an explanation on the Poisson distribution formula :)

[@jakehealthx]

Wow, this explanation was immensely helpful. Thank you!!

[@davidyusaku]

Mans out here doin God's work Thank you sm for the crystal clear guidance

[@veebee3969]

I do not have a mathematical background but find your videos are clear and helpful. I struggled with solving the equation. Would you please explain how you arrived at 0.173 from the 1st line? 0.82^18 = 0.0281; (1-0.82)^2 = 0.0324; 0.0281 x 0.0324 = 0.0009. I am missing something.

[@andersloren8020]

You forgot the (n k): 20!/18! --> (20*19*18!)/(2*1*18!) = (20*19)/(2*1) = 10*19 = 190. Now, 190*0.0281*0.0324=0.173

[@johnhammer8668]

Thanks so much . That tree diagram is very helpful.

[@ishamathstea9019]

Hello John💓 I have just posted how to find probability using Binomial Distribution..... I hope it's helpful....

[@stellaofthelake3451]

Amazing explanation of statistics! Better than my professor!

[@aryanshah3354]

this explanation was so good!! thank you so so much

[@winidiaschandra7657]

this video is more helpful than coming to an actual stat.prob class

[@jbstatistics]

Depends on the class I suppose, but I always recommend going to your class as well. In any event, I'm glad to be of help!

[@kirstensee6459]

please keep updating! your videos are really helpful :)

[@gouthamsandyreddy]

Thanks a ton. Great help in getting the basic understanding right

[@jbstatistics]

gouthamsandeep reddy You are very welcome. I'm glad to be of help!

[@AnasBinHarharah]

jbstatistics A great help. Love your clear accent and understandable examples. Thanks a lot. im sharing it with my course mates.

[@jbstatistics]

Anas Bin Harharah You are very welcome!

[@BananaBeecher]

Absolutely smashing video.

[@jbstatistics]

Thanks!

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Wow. Your videos are honestly amazing.

[@jbstatistics]

Thanks!

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Sorted out all my problems - thank you

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You voice relax my brain so much.

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you deserve more subs, god bless u

[@GoodLuckForever-wi9kb]

Well Done Thast really Gem droping such knowledge Thanks Sir

[@Shery0204]

The book didnt make any sense, but you did. Really helpful, thanks!

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Love you, thanks dude. You are auxiliary for me.

[@kenlau4649]

Great video helping me clear things up.

[@likevideolike2999]

This is very good explanation, but at 5:48 this ans is incorrect. n/x must changed to Nfacorial by Rfactorial - nfacorial-xfactorial.

[@enescegerek5439]

These are really helpfull. Thanks for every body who provide these videos for us :)

[@jbstatistics]

+Enes Çegerek You are very welcome!

[@raghurrai]

That was great. Love all your videos. Thank you for the effort.

[@jbstatistics]

You are very welcome.

[@xxxx-fw2kk]

Great video man, really helpful !!

[@shadmansakib9151]

i am a student of applied statistics & guess what my probability teacher sucks . thank u JB for making this easy to understand

[@Ali124hdkflc]

This man is golden.

[@VirmanaMarketing]

fantastic job! Thank you for putting together the video.

[@yavuzcangz5681]

so in the table at 11:40 I didnt get that. For explaining further, is it says that 6 men to survive exactly has 0 probability??

[@jimmydim2212]

Subbed, because you are the man.

[@tayyabikhlaq5354]

Gold video love your channel plz keep doing that stuff.

[@ahmednabil761]

Thank you very much for that perfect video. finally, I got what is the binomial distribution clearly