Addition rule for probability | Probability and Statistics | Khan Academy

[@gavinmcmahan2840]

I love how this took my 1 hour and 20 minute class and compressed it into an easier to understand 10 minute video.

[@amansaini6908]

is this enough for gate for probability section??

[@ht3111]

My class was 2 hours and 10 minutes

[@G3TMORE]

I want to know who you are, because you are awesome to learn from. Thank you! If teachers were more like you, they would deserve higher pay.

[@yrf3766]

+Glenn Thweatt he is a guy who has graduated from Massachusetts Institute of Technology with a degree in Bachelor of Science & in mathematics,& electrical engineering, and computer science& later getting his Master of Science and electrical engineering and computer science. He also holds a degree in Master of Business Administration Harvard Business School

[@-xxfxukr4g3xx-97]

Yeet

[@turret1427]

Or to actually teach

[@nrishiee5231]

@@yrf3766 he also seems to have a pretty clear grasp on colour composition. its really pleasing to look at his notes.

[@ekanthikamanoj9967]

He is Sal, He opened Khan Academy a nonprofit foundation on the internet to teach kids math, reading,coding etc. I have Khan academy you can download and create a profile for yourself! it is really useful

[@nobex7755]

My teacher just teaches us like boom! Then u plus the boom! Bcs it has a boom! And then done! Then he tells us there's gonna be a test tomorrow and leaves the class. I need a teacher like u in ma school.

[@hugoatm2770]

Lmao

[@evelioreyes5145]

You took your test and...BOOM!!!

[@jeanherbots1235]

lmao ditto

[@bikramadityarajendrapatra3447]

@@evelioreyes5145 then parents see the report card and we get BOOM!

[@pamfrease3462]

whoever this godly mathematician is...hes a true blessing

[@kaabfarooq6179]

Salman Khan, founder of Khan Academy

[@ashwjn]

Kaab Farooq the actor 😱

[@MrRushSkies]

8:12 Please don't let me keep hanging. 8:19 Sigh, Perfection.

[@josephstalin8442]

So much better than my stats lectures. My professor rushes through topics and examples then if you forget how to do something he’s like, “we learned that already”

[@meaganboodoo315]

i realize from watching these videos that im not dumb lol this stuff is so simple. im not good at memorizing really but apparently i do remember examples, images and color. thats probably why i highlight entire pages lol

[@CubicleComa369]

Meagan Boodoo good for you(no sarcasm)

[@samdemaidgroves7056]

VDAF : I AM TRIGGERED BY U!! THIS IS RAPE

[@AjayMittur]

Same here haha

[@Sam-pl4jn]

Can relate!🤣

[@DiyonJude]

its probably the fact teachers do 1hour of explaining and we can't understand anything

[@Kurlyheadt04070407]

thank you so much...my professor hardly speaks any english and he made this look do difficult in class. you explained this concept perfectly

[@andrewbennett3827]

I remember taking this my junior year of high school, now that I'm a junior in college and my major is business management, I got to take a business statistics course. I'm watching this to refresh the old memories.

[@zoyakhoja2967]

the "lellow" was so adorable

[@chesnabosnic4915]

Just want to say how thankful I am for these videos! They help me so much in understanding SO many different math topics! Great instructor and lessons! The different colors and repetition of phrases help a lot too! :)

[@amansaini6908]

is this enough for gate for probability section??

[@geniusavage]

Thanks a lot sir. I did Biostatistics in my bachelors degree then i was much more younger and presumably I use to understand all of this. but that's ten years back: now i am in graduate medical school and my Medical Biostatistics teacher made everything so complex, However with your explanation everything is beginning to click again. God bless your sir.

[@amansaini6908]

is this enough for gate for probability section??

[@francesmarquez6554]

It just clicked 😭 God bless this page. Online classes try to simplify things and all they do if confuse people 🥺 thank yoooou!

[@nahidiac]

Salman, this is great. You're great. May God bless you and accept these good jobs from you.

[@KrishPlayz-uq9tg]

Yess

[@geekxsir3610]

After an exam, and three lectures confusing lectures you explained this better than my professor! This channel is a godsend!

[@amansaini6908]

is this enough for gate for probability section??

[@zouraizkhan2467]

my teacher explained this perfectly but missed out on the part explaining with set diagrams. thank yu for explaining it

[@alexgrant-explainingmaths8077]

You are one of the world’s greatest conceptual mathematics educator! Big up from Jamaica🇯🇲

[@drithehilarious9856]

Omg you need a reward yo, that’s how good of an teacher you are

[@warrior100girl]

I'm a math tutor for the next semester summer 2018 in Computer Science and I'm just here to be inspired by all the good examples.

[@pattgardens3961]

Wonderful explanation! as a visual learner I found this example so helpful!

[@edwinnaranjo9435]

i cant see green or yellow...rip

[@yawner6234]

same lol

[@amanninawe2375]

144p users

[@shanboss8296]

@@amanninawe2375 wow that just went straight through your head lol

[@fizaabid6565]

@@yawner6234 what is the meaning of lol

[@Husinator56]

@@fizaabid6565 laughing out loud

[@kaitlynncurry4018]

I'm in a masters level stats class atm and this video helped simplify a question I was struggling on for like two days. I really liked the visuals and I ended up using the same concepts to solve a hw problem. Thank you for this! I'll be saving it for future use as well.

[@nibrasmasri8413]

Great video as usual. Most valuable lesson I learned from it was to avoid repetition when counting overlapping sets. Since color and shape of object in this case are not disjoint sets, it is easy to make a mistake over counting. So, hasting into conclusion might be the most common mistake of calculating probabilities and counting.

[@kawa_bata]

Thank you Khan. I WISH every professor would teach like this. Jeez. Thanks again.

[@proudindian8130]

Thanks a lot, it becomes easy to understand concepts from your videos

[@Arf-jk1dw]

You guys actually DESERVE to monetize your videos!!!

[@No-tx9by]

Thanks, this really helped me understand more about probability, this really helped because I am in the U.K and I'm currently doing SATs.

[@CoalChrome]

yes

[@Babyselina-ww2ru]

Hi is thins enough for the sat exam

[@chiedzarugoho2675]

He actually teaches better than than how my teacher taught it....thank you so much🙏❤💜

[@amansaini6908]

is this enough for gate for probability section??

[@shaniquewright1951]

I actually get it now....should have watched this before doing my quiz

[@farhannoor3935]

sage of the six maths

[@dreamieangeletti6149]

sage of quick maths

[@_t3ab0ttles36]

sage of quick maths

[@estella7417]

Wow! I understood it so well! I had failed to remember this formula before, and wasn't able to understand why it's just that way! But now, it's crystal clear. Thanks a ton! ❤

[@flowingriver5695]

Hey want to be study partner for khan academy? I'm self studying, feel unmotivated and lonely sometimes.

[@amansaini6908]

is this enough for gate for probability section??

[@yourboyfrannsayshi]

thank you so much!! I am a huge visual learner, helped me so much!!

[@SameerJoshi0395]

How beautifully it has been simplified..!!? Amazing.

[@ipwnnoobsable]

Sal, it'd be really cool if you made a playlist on the stock market; hedge funds, futures, etc. Thank you, and I enjoy your videos.

[@xdgaming952]

6:58 a weird thing he just did right here was add 13 and minus 5 whereas he could add 8 cause they were the remaining cubes left and yellow and yellow cubes were already counted in

[@oybekjoraboyev7721]

Thanks bro great video i had some trubles in my uni. Very undestandable video and easy catch the main ideas.

[@SashaWasHereToday]

He explained things really well & the video was kind of funny haha.

[@sidraasif4667]

What a voice...!!!...what a way of teaching...marvellous 🤍

[@Gbtx6]

I wish I could like this twice ahaha. Great job!

[@sharonsabol2062]

Thank you! Great explanation!

[@hamzahsafawihasibuan7516]

Great face

[@mrscheekymonkey24]

Thank you for your videos! They make Statistics so much easier to understand.

[@kc2saxena]

Khan the savior.

[@SashaWasHereToday]

I l-o-v-e how you explained things. The book made this simple concept seem much harder.

[@natasha1987252]

Thank you so much for your detailed explanation now l understand the concept well. :)

[@manwithtie6708]

it is easier to think each individual outcome as a single probability rather than a similar overlapping outcome which makes it weird for simple calculations, thanks for the video.

[@zeeshanhaider148]

Love this method... very very helpful.. Thank you

[@tonyakimrey4091]

The pictures and the colors help so much! TY, TY!

[@sophiat2058]

Can you please do a video on complimentary event with lots of examples please? I need to understand what the 1 represents.. does it represent the favourable event?

[@markcisar4828]

Thank you Khan Academy for another easy to understand and share clip.

[@sentient314]

i can't get this word "lellow" out of my head

[@tyranttyphoon1222]

Great Video! This definitely taught me some new ideas. One thing though: When you asked, "what is the probability of the object being a Cube or Yellow," the correct probability would actually be 15/29 because a yellow cube would not satisfy the problem. This is because you are saying the object needs to be yellow OR a cube, not yellow and/or a cube. Other than that, good explanation!

[@User-ei2kw]

thats not how logical OR works

[@User-ei2kw]

you are looking for an exclusive or

[@tyranttyphoon1222]

@@User-ei2kw That was a completely pointless comment. I was expressing my way of thinking to the creator of the video because I didn't understand why he chose that probability. Rather than posting a meaningless comment with no first-letter capitalization, punctuation, or grammar, maybe you could take the time to explain what I interpreted incorrectly just as a kind human being would (someone unlike you). I don't understand why there are people like you here in the comment section.

[@nakamiyonemura2001]

But isn't yellow encapsulates both cubes and spheres? It's presented in the diagram. How did you get 15?

[@MuhammadQasim-oo7yq]

Khan and as well as Muslims are the best.. great job Salman Khan..your name is khan and you are a Teacher. .. superb

[@AdityaSharma-hg4tm]

PLUS:i love your website!!its a good way to learn!!!

[@jeaninewilliams7831]

This video is awesome and just watching how simple you took away a lot of my anxiety. I love how you don't overword things. Thanks

[@chericha]

Excellent explanation Mr. Khan. Thanks again!

[@rhoadess]

In probability, the sets are multisets (bags) rather than the idea of a general set in mathematics, where every element of a general set must be unique, and if any elements within a general set repeat, those repeats are removed. On the other hand, a multiset may have repeats. Examples: Multiset A = [3,3,3,3,1,1,2,2,2,], General Set A = {1,1,2,2,2,3,3,3,3} = {2,1,3}. This was something that confused me at one time, and thought I would mention it.

[@Mynamejeff-go2sq]

Who else is just reading through the comments and not actually concentrating on the video

[@goodgriefblockhead]

Great job as usual. Thanks so so much :)

[@johnpereira6235]

Fantastic!!!!! Thanks for the great explanation.

[@SalK-3S3K]

What a teacher Khan is👌🏼👍⚡️💥!

[@janinebisschoff8432]

Thanks a lot Sam, it really helped me to unserstand this stuff

[@geraldjinx]

it's sal

[@danielmoon3681]

Learning this in class... did not expect it to be as simple as you explained it LOL

[@Aries-Athena]

Thank you for this!

[@ainekification]

Thank you. I love you.

[@AbdulKarim-cw8cv]

You can also do this: P(A or B) = total # of outcomes - P(Neither A nor B)

[@hossainabeer]

Somebody give this man an award

[@whatsupwithtorii]

Thankx so muchhh 💖💖😫🤞🏾🤞🏾

[@asfnksenpai3508]

Thank you! I was struggling with why do we need the additive rule? why cant we just add the probablities? but your video helped me.

[@Derek-y9q]

Thanks!!! Keep up the good work!!!

[@internationalremixes6440]

no words to explain the worth of this video!

[@AishLovesSpaghetti]

You are awesome for creating and providing such easily understanble lectures for free.

[@shahd5874]

2019! Thank you so much.

[@BafanaButhelezi-vh7zs]

I LOVE THIS CLASS 😭

[@artokilponen6989]

One thing I've learnt about probabilities is that if you take a simple case and apply common sense to that, you probably find out some harder concepts easier to grasp. Like here, yellow or cube obviously means "anything but green spheres", so the answer has to be "everything - 9 of all options", so 20 of 29. This obviously doesn't mean you shouldn't learn that rule, but if you can't apply your logic to even the easiest problems, your logic is probably wrong and you need to re-work that. So nothing away from this video, I just wanted to give a different view.

[@lovebaking2503]

you have explained the concept clearly.

[@الراقيالملكي-ص2ر]

It helped me very much thank you Mr.Khan

[@fawaddetho5374]

Too good Love you sir for this lacture.

[@aravindhanveeramani6142]

Hey there khan..., I have been looking at even more complex problems, in which the circle of the venn diagrams are concentric, and some times there are three circles, and then even more combinations and things get even more complicated, please make a video on that condition or if you already have made one please link me to it, I can't seem to find this anywhere in the internet Thanks

[@thepurplelefant]

@senakujin no, its the (posibility of getting heads(1)+ the posibility of tails(1))- posibility of getting both(1). so you get 1

[@wb40t3]

welcome dream to the champion's club forsenCD

[@yourfellowhumanbeing2323]

Hahaha

[@AgustinCabra]

Thank you so much, very clear explanation

[@dopentight]

I remember watching this video to prepare for an Engineering Stats exam in 2018 (got an A), now I'm watching it again to prepare for the FE.

[@charlesfernandez8225]

Examples are always way harder than the actual questions... gotta love math :) FML

[@statisticianclub]

Very informative

[@NaveenSharma-mz6tt]

Thanks For Sharing this beautiful content! :)

[@Monobob74]

his is infinatley helpful for math competions

[@narapuram2]

Nice video! But can u please do a video on 3 circles?

[@SH-os1ck]

You're amazing sir!

[@pranayblue]

Well explained, as always..

[@emelicabral8828]

So much better than my professor!!!!!!!!

[@Offdahiizzy]

How would you figure out the probability of picking Yellow AND Cubes?

[@-MissSiri-]

(11 years later, yes) Well, you would find how many yellow things there are and how many cubes there are. Then, you add them together, and put them as a fraction over 29, the total amount of shapes in the bag. I think that’s your question… You probably already figured this out though, 11 YEARS LATER.

[@nocturnalvisionmusic]

@@-MissSiri- nice 🙂😊 I like answering those years-old questions too. Sometimes you actually get a response from them occasionally 😮😁

[@AayanBaloch-f2u]

Great method One week in one hour

[@wassera9093]

You explained better than my stats prof.

[@darmajid9670]

6:50 it should be 5/29 not just 5.

[@whiteeyedshadow8423]

"lello" lolly pops *proceeds to write the above message in green*

[@xenonthemurderer]

Sorry, what we're u sayin'?

[@vincerossignolo6702]

This helped thank you.

[@bushramosa]

❤❤❤Thank you very much Can you translate the video to Arabic

[@thesalazars3306]

Saying *lello* is cute OMG I love *Math* 👌

[@blueskysunz]

Best explanation, thanks!

[@AdityaSharma-hg4tm]

nice! u guys are good!!!