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Conditional Probabilities, Clearly Explained!!! 

StatQuest with Josh Starmer
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One the most fundamental concepts in Probability, Statistics and Bayesian Statistics is Conditional Probability. In this StatQuest, we walk you through what Conditional Probabilities are and how to calculate them using raw data as well as unconditional probabilities. BAM!!!
For a complete index of all the StatQuest videos, check out:
statquest.org/video-index/
If you'd like to support StatQuest, please consider...
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0:00 Awesome song and introduction
1:11 Filling in a contingency table
4:45 Calculating conditional probabilities from counts
8:00 Calculating conditional probabilities from unconditional probabilities.
#StatQuest #Probability #Bayesian

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6 июл 2024

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Комментарии : 372   
@statquest
@statquest 3 года назад
NOTE: Conditional probabilities can be written two ways: a "long" version and a "short" version. In this video I use the long version (because it's easier for me to read)... P(A and B | B) = P(A and B)/P(B) ...however, the short version is commonly used... P(A | B) = P(A and B)/P(B) Both mean the same thing, in other words: P(A and B | B) = P(A | B). The short version implies the "and B" part. Support StatQuest by buying my book The StatQuest Illustrated Guide to Machine Learning or a Study Guide or Merch!!! statquest.org/statquest-store/
@exploringdiversity572
@exploringdiversity572 2 года назад
Your version is much easier for non-statisticians like me :)
@statquest
@statquest 2 года назад
@@exploringdiversity572 bam!
@chandrashekar316
@chandrashekar316 3 месяца назад
omg this cleared up so much confusion i had from reading my text book where they were using the shorthand
@pomegranate8593
@pomegranate8593 2 года назад
I love how I need a video that seems designed for 7 year olds to understand my uni course. Great vid thanks
@statquest
@statquest 2 года назад
Glad it was helpful!
@BulbasaurLeaves
@BulbasaurLeaves Год назад
I like the style. It's fun and nostalgic
@TheRedCubeYT
@TheRedCubeYT 2 месяца назад
this is secondary school level maths
@shinej11
@shinej11 2 года назад
I always thought I was incapable of learning math, but it had always intrigued me. I just discovered what was missing; a good teacher. Thank you very much.
@statquest
@statquest 2 года назад
bam!
@PastryDonut
@PastryDonut Год назад
I'm in the same boat as you man, love this channel
@asrao3788
@asrao3788 Месяц назад
In India due to competition for engineering entrance exam teacher majorly focus on question types rather than concept in depth. Im glad there is a place where people learn for fun not just for competition, also appreiciate teachers like you who can turn subjects into magic. Keep up the good work! From now on I'm permanent on this channel. You are the best!
@statquest
@statquest Месяц назад
Thank you very much!
@pkmath12345
@pkmath12345 3 года назад
Very nice video for sure. Conditional prob is one of the topics students feel the most difficulty when they start studying for stat! Great job!
@statquest
@statquest 3 года назад
Thank you! :)
@azinkhodadadi7912
@azinkhodadadi7912 2 года назад
I should of paid you instead of my useless lecturer at university! This is so much more useful thank you!
@statquest
@statquest 2 года назад
Glad I could help!
@mikejohns1347
@mikejohns1347 2 года назад
I "stumbled" upon the contingency table method many years ago when trying teach myself the basics of probability. This approach is really the only approach for developing a solid understanding of conditional probability, as well as joint and marginal probability. I've never seen anyone present it this way and I'm so glad to see it here! Just more evidence that Josh Starmer is an absolute master instructor.
@statquest
@statquest 2 года назад
BAM! Thank you very much! :)
@endahfajarwati8336
@endahfajarwati8336 2 года назад
you know, me too.
@Ash-bc8vw
@Ash-bc8vw 2 года назад
Hey this table reminds me of confusion matrix from a ML classification problem
@turtle3341
@turtle3341 2 года назад
this is how i wish people taught stuff, i really hope these ways of learning statistics get the recognition they deserve! please keep it up !!!!
@statquest
@statquest 2 года назад
Thank you!
@jacob.9664
@jacob.9664 2 месяца назад
Soda and Candy > Mechanical engineering degree. Thank you it was very helpful!
@statquest
@statquest 2 месяца назад
BAM! :)
@HardikBhakhar
@HardikBhakhar Месяц назад
Never thought that to understand conditional probabilities is this easy … thanks prof 🎯
@statquest
@statquest Месяц назад
bam! :)
@rejithmadhavan5735
@rejithmadhavan5735 2 года назад
Logical explanation, precision and genuineness - your way of teaching exemplifies these essential qualities. Thanks so much Josh for these great lessons. Invaluable effort!
@statquest
@statquest 2 года назад
Wow, thank you!
@phuctran4679
@phuctran4679 2 года назад
Thank you Josh & the team. I'm so grateful I've found your channel. You make me truly love statistics!
@statquest
@statquest 2 года назад
Glad you enjoy it!
@baqirhusain5652
@baqirhusain5652 2 года назад
You are a GOD of simple explanations
@statquest
@statquest 2 года назад
Thanks!
@leandroimail
@leandroimail 2 года назад
I love these classes. They are so easy to understand. Thks you for sharing with us!
@statquest
@statquest 2 года назад
Thank you very much! :)
@jacktaylor1516
@jacktaylor1516 2 года назад
This is one of the best explanations of absolutely anything I've ever seen and heard. Well done. Subscribed.
@statquest
@statquest 2 года назад
Awesome, thank you!
@buihung3704
@buihung3704 8 месяцев назад
A 6 years old can understand this. That's genius
@statquest
@statquest 8 месяцев назад
Thanks!
@fatimajahara4871
@fatimajahara4871 Год назад
I love how the videos comprehend complex topics with easy-to-understand explanations. Thanks for all your effort :)
@statquest
@statquest Год назад
You're very welcome!
@dizetoot
@dizetoot 2 года назад
THANK YOU! I've really been struggling to get an intuitive understanding of conditional probability and this has helped so much!
@statquest
@statquest 2 года назад
Glad it helped!
@AndrywMarques
@AndrywMarques 3 года назад
Great video! I never saw the "long version" to write conditional probabilities before but it's better to understand. Very intuitive!
@statquest
@statquest 3 года назад
Yes, I like it more, too.
@arpitkakkar2780
@arpitkakkar2780 2 года назад
Awesome. I always come here to get my doubts clear. Love the way you teach. Lots of BAM!!!
@statquest
@statquest 2 года назад
Thanks!
@colinirvine757
@colinirvine757 2 года назад
Great job Josh!!!!! This is such a clear and precisely laid out video perfect for my students.
@statquest
@statquest 2 года назад
bam!
@talentlancer1358
@talentlancer1358 2 месяца назад
Thank you so much! This is the best video on conditional probability on internet.
@statquest
@statquest 2 месяца назад
Thank you!
@Regular.Biceps
@Regular.Biceps 2 года назад
Exceptional explanation... I'm Completely in love with your teaching style
@statquest
@statquest 2 года назад
Thank you!
@vavy5652
@vavy5652 Год назад
You are literally saving me from my statistics exam! Thank you so much, your explanations are brilliant and you are really making me focus with your simple and funny ways. Thank you again!
@statquest
@statquest Год назад
Good luck! :)
@ivlivs.c3666
@ivlivs.c3666 Год назад
Incredibly well-explained. Thank you!
@statquest
@statquest Год назад
Thank you! :)
@amribrahim7850
@amribrahim7850 2 года назад
Awesome explanation. Thanks to you and Triple Bam members
@statquest
@statquest 2 года назад
Glad you liked it! BAM! :)
@Florithepenguin
@Florithepenguin 3 месяца назад
Struggled with this topic literally for years! You solved my problem within just 10 min.! 🎉
@statquest
@statquest 3 месяца назад
Bam! :)
@tyt03538
@tyt03538 3 года назад
This is the best video explaining conditional probability. Hands down.
@statquest
@statquest 3 года назад
Thanks!
@onurkrmz9206
@onurkrmz9206 2 года назад
Today I discovered your channel and it is truly a gem. As a EEE student who tries to make sense of subject of probability and neural network stuff, I believe I will benefit a lot from your work and be thankful for rest of my life. Especially statistics is challenging as things get messy a lot and scary/unintuitive equations with confusing notations start to appear. I did not look at all of your videos yet, but I hope that you did statistics less scary for those like me. My best regards
@statquest
@statquest 2 года назад
Awesome! Here's a page that lists all of my videos (and playlists etc): statquest.org/video-index/
@shamsulazhar
@shamsulazhar 2 года назад
Finally, I understand this. BAM!!!!
@statquest
@statquest 2 года назад
Bam!
@jacktrimboli2857
@jacktrimboli2857 2 года назад
I get a dopamine rush every time this man says bam
@statquest
@statquest 2 года назад
bam!
@jerryquid4057
@jerryquid4057 Год назад
You're incredible. You make everything seem so easy
@statquest
@statquest Год назад
Wow, thank you!
@swarnachoppella388
@swarnachoppella388 2 года назад
Thank you! Great content always🤩
@statquest
@statquest 2 года назад
My pleasure!
@zaf3153
@zaf3153 Год назад
Super easy ti understand! Thanks alot
@statquest
@statquest Год назад
Glad it helped!
@vinodliyanage4128
@vinodliyanage4128 2 года назад
Best explanation ever. Thank you! ❤️
@statquest
@statquest 2 года назад
Thank you! :)
@rishikeshpillay
@rishikeshpillay 3 года назад
Thanks for this explanation.....It really help me to grasp this topic....
@statquest
@statquest 3 года назад
Bam!
@charmkeysy
@charmkeysy Месяц назад
i love you this actually helped so much
@statquest
@statquest Месяц назад
Thanks!
@gabrielasantana3809
@gabrielasantana3809 2 года назад
And BAM! I subscribed….such a clear explanation
@statquest
@statquest 2 года назад
Awesome, thank you!
@user-lc4nv3qy4i
@user-lc4nv3qy4i 9 месяцев назад
This was amazing and fun. Thank you!
@statquest
@statquest 9 месяцев назад
Glad you enjoyed it!
@sillyfarmerbilly8872
@sillyfarmerbilly8872 3 года назад
"statsquatch" I love it 😂 Also I guess I never put together that you could use the probabilities to calculate conditional probabilies, super helpful
@statquest
@statquest 3 года назад
BAM! :)
@faiazrummankhan5589
@faiazrummankhan5589 3 года назад
This channel is the bible of " Making 'Understanding Statistics' Easy !"
@statquest
@statquest 3 года назад
bam! :)
@Nakameguro97
@Nakameguro97 2 года назад
Thank you SO MUCH for clarifying that AB = A and B, when A and B are events. I get confused because XY is literally multiplication when X and Y are random variables. It can be doubly confusing because both events and random variables (even though they are different types) can be passed into P(), the probability function. Function overloading is a thing in computer programming, but I’m shocked to see it in math. Also, the implied A and B in P(A | B) is a lifesaver, many times over. BTW, understanding the tables in this video is pivotal in grasping marginal distributions, Baye’s Theorem, and joint probability distributions - it feels like I’m getting the other three concepts for free!
@statquest
@statquest 2 года назад
Triple bam!!! :)
@yujan9103
@yujan9103 Год назад
Well explained. Bit long but makes the concept clear as possible. A big THANK YOU Josh.
@statquest
@statquest Год назад
Thanks!
@Oliver-cn5xx
@Oliver-cn5xx 3 года назад
Hi Josh, I am a long time fan of your channel and all of the shameless self-promotion has guilted me into buying one of your study guides (LDA). They seem great, a nice supplement to your videos. Though I think you would benefit greatly from stripping down the ordering process, I mean for online purchases almost noone asks for complete addresses, phone numbers and names anymore. I fought very hard with myself to finish it and parting with that information, and I succeeded simply because of being so grateful for the videos you provide. You'd probably sell a lot more of these if you just ask for an email. Like most. Cheers
@statquest
@statquest 3 года назад
Thanks for the advice! I'll see what I can do to simplify the ordering process.
@uvofsam
@uvofsam 3 года назад
Bam!! , what a bam person to explain everything about statistics so bamly!!
@statquest
@statquest 3 года назад
Thanks!
@NoahElRhandour
@NoahElRhandour 3 года назад
Bamks!
@pratyushkashyap849
@pratyushkashyap849 Год назад
Incredible lecture!! Bamm😀
@statquest
@statquest Год назад
Thank you!
@sigmakings7285
@sigmakings7285 9 месяцев назад
That's a great one.thank you😊
@statquest
@statquest 9 месяцев назад
Glad you liked it!
@between_the_lines6173
@between_the_lines6173 9 месяцев назад
You're the statistics buddha! The analogies and the calming voice!
@statquest
@statquest 9 месяцев назад
Thanks!
@simonroques8579
@simonroques8579 2 года назад
Excellent video..again ! So good to be hit by the triple bam !!! 😁
@statquest
@statquest 2 года назад
Hooray! :)
@ShashwatAgarwal007
@ShashwatAgarwal007 2 года назад
Happy Guru Purnima Sir, So blessed that this channel exists. ❤️🙏
@statquest
@statquest 2 года назад
Thank you! And thank you for supporting StatQuest! BAM! :)
@tomr03status99
@tomr03status99 2 года назад
❤️❤️
@dyles1832
@dyles1832 3 года назад
The people demand a Montecarlo Simulations StatQuest!!!
@justinwhite2725
@justinwhite2725 3 года назад
That would be nice.
@statquest
@statquest 3 года назад
I'll keep that in mind. We may get to something like it when I cover bayesian statistics.
@tomr03status99
@tomr03status99 2 года назад
That could be nice
@anashaat95
@anashaat95 Год назад
Thanks a lot. Clearly explained as you stated.
@statquest
@statquest Год назад
Thank you!
@sanjeevsingh-zz2hg
@sanjeevsingh-zz2hg Год назад
Your way of teaching ! Bam!
@statquest
@statquest Год назад
Thanks!
@RaceyBeats
@RaceyBeats 2 года назад
So bloody good!
@statquest
@statquest 2 года назад
Thanks!
@kayhankashi9970
@kayhankashi9970 8 месяцев назад
SUPERB explanation... BAAAM !!!!!
@statquest
@statquest 8 месяцев назад
Thanks!
@anthonyrinna1305
@anthonyrinna1305 4 месяца назад
First, I'll admit I had "Do you love orange soda?" from Keenan and Kel in the back of my mind. That said, this video has been immensely helpful, thank you!
@statquest
@statquest 4 месяца назад
:)
@josevaldes7493
@josevaldes7493 2 года назад
amazing googleplex BAM! Man you did it again. BRAVO
@statquest
@statquest 2 года назад
Wow, thanks!
@BARAKABLESSING
@BARAKABLESSING Год назад
This helped understand c prob. I am taking a mandatory into to stat class with no math experience and passion. Thanks
@statquest
@statquest Год назад
Good luck!
@qwerty11111122
@qwerty11111122 2 года назад
Hi Josh! I've been working with DEseq2 a lot. Is dispersion shrinkage on your TODO list for statquest? I realize it's a little more of a niche topic for bioinformatics than broadly applicable tho
@statquest
@statquest 2 года назад
I'll keep it in mind.
@ceseb23
@ceseb23 3 года назад
Great video, perfect explanation, marvelous song, as always :D I would love to see a video about Generalized Linear Models( other than logistic).
@statquest
@statquest 3 года назад
Thanks and I'll keep that topic in mind.
@tomr03status99
@tomr03status99 2 года назад
👍👍👍
@dhendroid2373
@dhendroid2373 2 года назад
This is how every tutorial should be!
@statquest
@statquest 2 года назад
Thanks!
@joshuaperling2985
@joshuaperling2985 2 года назад
amazing! the best!!
@statquest
@statquest 2 года назад
Thank you! :)
@ahmadatta66
@ahmadatta66 2 года назад
"I hate using abbreviations" And I love you for that
@statquest
@statquest 2 года назад
bam!
@AbcdAbcd-ol5hn
@AbcdAbcd-ol5hn 2 года назад
😭😭😭😭thanks a lot😭😭😭god bless you, u are doing a noble job, may you get all the riches, love and happiness in the world
@statquest
@statquest 2 года назад
Thank you very much! :)
@kekahazra9769
@kekahazra9769 4 месяца назад
Bam! I like the way you teach.....keep up!....Bam Bam!😅
@statquest
@statquest 4 месяца назад
Thank you very much! BAM! :)
@janiceoou
@janiceoou 3 года назад
I was looking for sth like this recently, thanks for somehow read my mind XD (I guess some kinda probability?? BAM!
@statquest
@statquest 3 года назад
BAM! :)
@surendrabarsode8959
@surendrabarsode8959 3 года назад
Very well explained as usual!! BTW, do you have any plans for making videos on stochastic calculus topics like Brownian motion, Ito integral, martingale measures etc. If so, I am looking forward to them.
@statquest
@statquest 3 года назад
I'll keep those topics in mind.
@tomr03status99
@tomr03status99 2 года назад
👍👍👍👍
@durgeshkshirsagar116
@durgeshkshirsagar116 3 года назад
Wow. Great explanation with nice song ❤️❤️
@statquest
@statquest 3 года назад
Thanks a lot 😊!
@durgeshkshirsagar116
@durgeshkshirsagar116 3 года назад
@@statquest welcome sir 🙏🏻
@shahf13
@shahf13 2 года назад
Great job josh you are my favorite teacher !! , can you think about making a video about Multicollinearity? bam
@statquest
@statquest 2 года назад
I'll keep that in mind.
@sleepydev4700
@sleepydev4700 2 года назад
Hundred Bam!! Great explanation as always Could you put the playlist link in the description, it will help us a lot, thanks.
@statquest
@statquest 2 года назад
Which playlist are you asking about?
@ramprakash7872
@ramprakash7872 2 года назад
Conditional probability : Decoded. BAM !!! Tbh Some of your videos ( Very few actually. For example p-value 😁) were not very clear to me ( Well that's just me ! ) in the first instance but I digested through them somehow. But with little study & focus or just give a break for a while, the 2nd or 3rd look at your video makes the concept super clear to me and I don't need to look elsewhere. Thanks for making such videos and making statistics/probability easier.
@statquest
@statquest 2 года назад
I'm glad you are able to understand the concepts.
@SarahFeng92
@SarahFeng92 10 месяцев назад
Your channel is amazing, I wish I had discovered it earlier! Would you ever consider making the slides available for sale? I would absolutely buy them.
@statquest
@statquest 10 месяцев назад
I have some of them for sale here: statquest.org/statquest-store/
@fabianarodriguez.
@fabianarodriguez. Год назад
I GET IT NOW THANK U SO MUCH
@statquest
@statquest Год назад
bam! :)
@yonatanaquinteror2989
@yonatanaquinteror2989 2 года назад
Awesome! BAM!!!
@statquest
@statquest 2 года назад
:)
@avrilduck8326
@avrilduck8326 2 месяца назад
After 4:40, I cried "that's enough" because it was relentless!!
@statquest
@statquest 2 месяца назад
bam
@EngRiadAlmadani
@EngRiadAlmadani 3 года назад
BAMMM!!!! Great work Can you make video about bayesian classifier because it's depending on conditional probability
@statquest
@statquest 3 года назад
I've already done that. Here's the link: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-O2L2Uv9pdDA.html
@piruthuviraj5903
@piruthuviraj5903 2 года назад
Thank you so much...Now I cleared. 😁🥰🥰
@statquest
@statquest 2 года назад
bam!
@sudhamjayanthi
@sudhamjayanthi Год назад
thank you, uncle bam!
@statquest
@statquest Год назад
My pleasure!
@fabriciomagalhaessena2289
@fabriciomagalhaessena2289 Год назад
Thank you so much for this video! It saves my life hahaha
@statquest
@statquest Год назад
Thanks!
@LukaszWiklendt
@LukaszWiklendt 3 года назад
It's interesting notation that you keep the superfluous condition on the left side of the pipe. I.e. using p(c=0 and s=1 | s=1) instead of p(c=0 | s=1). Do you find students understand it better this way?
@statquest
@statquest 3 года назад
Yes. To me it is much clearer.
@sumonmiah8957
@sumonmiah8957 8 месяцев назад
Great! Which software have you used to make this video(especially animation)?
@statquest
@statquest 8 месяцев назад
I give away all of my secrets in this video: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-crLXJG-EAhk.html
@angelgamboa5902
@angelgamboa5902 2 года назад
amazing!!!!
@statquest
@statquest 2 года назад
Thanks!
@micahdesign6657
@micahdesign6657 2 года назад
best video ever !
@statquest
@statquest 2 года назад
:)
@levine1886
@levine1886 3 года назад
Any chance you could post a video on when to run regular linear regression vs. time series ARIMA?
@statquest
@statquest 3 года назад
I'll keep that in mind.
@shangauri
@shangauri 3 года назад
Good one Josh. Any plans of making videos on "Time series Models" ?
@statquest
@statquest 3 года назад
One day! :)
@RajSARAF495
@RajSARAF495 Год назад
Beautiful ❤
@statquest
@statquest Год назад
Thank you! :)
@kensarmoreto1863
@kensarmoreto1863 Год назад
although that i calculate conditional probability during college, i cannot get the concept of it leaving a gap in my stat knowledge... i stumbled in your video and i have a basic understanding about it. im just need a more examples regarding conditional probability to fully master this concept... Thanks Josh for your videos and hoping for more topics about stats and data analysis.
@statquest
@statquest Год назад
I'm glad my video was helpful! :)
@catherinele8417
@catherinele8417 2 года назад
Hi ! I really like yours graphics and pictures ! What tool do you use ?
@statquest
@statquest 2 года назад
Keynote.
@catherinele8417
@catherinele8417 2 года назад
@@statquest thank you :)
@animelife9351
@animelife9351 2 года назад
Because of you, I knew this Concept "BAM" 😹😸
@statquest
@statquest 2 года назад
bam!
@sampathkumar3405
@sampathkumar3405 2 года назад
Josh , Please start a series for mathematics concepts for machine learning. Such as probability, linear algebra, statistics, calculus etc.. It'll great help for us.
@statquest
@statquest 2 года назад
I have a bunch of statistics videos here: statquest.org/video-index/
@jackfrost8969
@jackfrost8969 2 месяца назад
Excellent excellent excellent
@statquest
@statquest 2 месяца назад
Many many thanks!
@jbetanco7733
@jbetanco7733 2 года назад
good job
@statquest
@statquest 2 года назад
Thanks!
@swarupghadei3590
@swarupghadei3590 2 года назад
Hi Josh , how do we proceed if we have 3 variables ?(Soda Candy and Wafers) ?
@statquest
@statquest 2 года назад
The same way, we just end up with a more complicated table.
@hiidf
@hiidf 3 месяца назад
does it applies to all questions of conditional probability or any conditions?
@statquest
@statquest 3 месяца назад
I'm pretty sure it does.
@sumailsumailov1572
@sumailsumailov1572 2 года назад
So cool!
@statquest
@statquest 2 года назад
bam!
@udhayveersingh2000
@udhayveersingh2000 10 месяцев назад
​@@statquest💥
@Darkev77
@Darkev77 2 года назад
This might sound like a silly question but, shouldn’t one expect that P(A | ~A) = 0, and vice-versa? However this conditional notation doesn’t encompass that
@statquest
@statquest 2 года назад
Actually, it does. What you are asking is "The probability that someone loves candy AND does not love candy given that we know that they love candy". This results in the equation p(loves candy & does not love candy) / p(loves candy) = 0 / (6/14) = 0.
@Darkev77
@Darkev77 2 года назад
@@statquest thanks a lot prof for your clarifications!
@CW-vl9zd
@CW-vl9zd 4 месяца назад
Good video that cleared up a lot of my questions. Only thing I'm confused now tho is 9:20 let's say we are given all the probabilities. How do I know if a probability is p(not love c and loves s | loves s) or p(loves s | not love c and loves s)? Confused because we know both the numerator and denominator. Thanks
@statquest
@statquest 4 месяца назад
Well, the second one, p(loves s | not love c and loves s), really doesn't make sense to calculate at all. This is because the conditional part, "not love c and loves s" is only a subset of "loves s", and thus, the conditional part does not give us any useful information about the larger "loves s" population.
@CW-vl9zd
@CW-vl9zd 3 месяца назад
@@statquest Thank you!
@matiasmocanu647
@matiasmocanu647 2 года назад
Hi!! could you please make a statquest about self organizing maps?
@statquest
@statquest 2 года назад
I'll keep that in mind.
@graningfire1776
@graningfire1776 2 месяца назад
Quadra BAMMMM ! ITS now clearly cleared in my mind
@statquest
@statquest 2 месяца назад
It's not clear? What time point, minutes and seconds, was confusing?
@graningfire1776
@graningfire1776 2 месяца назад
@@statquest sorry sir , I wish to write now but due to my mistake it become not .
@markobe08
@markobe08 3 года назад
Josh is the best
@statquest
@statquest 3 года назад
Thanks!
@tomr03status99
@tomr03status99 2 года назад
Yeh!
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