Addition rule for probability | Probability and Statistics | Khan Academy

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Venn diagrams and the addition rule for probability
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Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it!
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[@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

[@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!

[@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

[@pamfrease3462]

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

[@kaabfarooq6179]

Salman Khan, founder of Khan Academy

[@ashwjn]

Kaab Farooq the actor 😱

[@zoyakhoja2967]

the "lellow" was so adorable

[@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!🤣

[@Diyon_Lmao]

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

[@MrRushSkies]

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

[@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

[@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”

[@farhannoor3935]

sage of the six maths

[@dreamieangeletti6149]

sage of quick maths

[@_t3ab0ttles36]

sage of quick maths

[@nahidiac]

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

[@KrishPlayz-uq9tg]

Yess

[@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

[@sentient314]

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

[@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.

[@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??

[@zouraizkhan2467]

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

[@shaniquewright1951]

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

[@proudindian8130]

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

[@pattgardens3961]

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

[@wb40t3]

welcome dream to the champion's club forsenCD

[@yourfellowhumanbeing2323]

Hahaha

[@drithehilarious9856]

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

[@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

[@SashaWasHereToday]

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

[@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

[@kc2saxena]

Khan the savior.

[@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.

[@kawa_bata]

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

[@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.

[@yourboyfrannsayshi]

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

[@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.

[@francesmarquez6554]

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

[@whiteeyedshadow8423]

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

[@xenonthemurderer]

Sorry, what we're u sayin'?

[@Gbtx6]

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

[@SameerJoshi0395]

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

[@natasha1987252]

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

[@oybekjoraboyev7721]

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

[@Arf-jk1dw]

You guys actually DESERVE to monetize your videos!!!

[@alexgrant-explainingmaths8077]

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

[@tonyakimrey4091]

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

[@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

[@BasmaHadil-ww2ru]

Hi is thins enough for the sat exam

[@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?

[@mrscheekymonkey24]

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

[@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??

[@goodgriefblockhead]

Great job as usual. Thanks so so much :)

[@sharonsabol2062]

Thank you! Great explanation!

[@hamzahsafawihasibuan7516]

Great face

[@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.

[@zeeshanhaider148]

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

[@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.

[@markcisar4828]

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

[@Aries-Athena]

Thank you for this!

[@chericha]

Excellent explanation Mr. Khan. Thanks again!

[@AdityaSharma-hg4tm]

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

[@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??

[@shahd5874]

2019! Thank you so much.

[@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??

[@ainekification]

Thank you. I love you.

[@SashaWasHereToday]

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

[@johnpereira6235]

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

[@austinnegron1484]

43 people still failed their math test the next day..... pray for me guys

[@thesalazars3306]

👌

[@marvhartigan3677]

lol 69 votes

[@AbdulKarim-cw8cv]

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

[@NaveenSharma-mz6tt]

Thanks For Sharing this beautiful content! :)

[@umaldo7]

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

[@sidraasif4667]

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

[@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.

[@lovebaking2503]

you have explained the concept clearly.

[@blueskysunz]

Best explanation, thanks!

[@user-su2wm3nz1e]

It helped me very much thank you Mr.Khan

[@internationalremixes6440]

no words to explain the worth of this video!

[@danielmoon3681]

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

[@emelicabral8828]

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

[@thesalazars3306]

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

[@SH-os1ck]

You're amazing sir!

[@pranayblue]

Well explained, as always..

[@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

[@AgustinCabra]

Thank you so much, very clear explanation

[@kebenadebela2106]

very appratiate

[@MrNeverataner]

@MrNeverataner oh i get it already... thanks man! really helpful

[@vincerossignolo6702]

This helped thank you.

[@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.

[@janinebisschoff8432]

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

[@geraldjinx]

it's sal

[@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

[@fcinternetmarketing]

Great voice.

[@AdityaSharma-hg4tm]

nice! u guys are good!!!

[@danielkedwards54]

this is really helpful

[@BafanaButhelezi-vh7zs]

I LOVE THIS CLASS 😭

[@AishLovesSpaghetti]

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

[@wassera9093]

You explained better than my stats prof.

[@hossainabeer]

Somebody give this man an award

[@tharunishadi3980]

thank you !!!

[@zeyad1zeyad934]

thanks

[@charlesfernandez8225]

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

[@mubangachibamba5164]

Thankyou for this

[@SalK-3S3K]

What a teacher Khan is👌🏼👍⚡️💥!

[@statisticianclub]

Very informative

[@Monobob74]

his is infinatley helpful for math competions

[@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.

[@haider1905]

If I had teachers like you in my school!

[@saratofik629]

ME TOO LOL

[@surbhimantri1]

thanks!

[@johnbake9304]

a question please...if i have this 3+3. are the numbers expressing the union of two sets with an element in it which is the number 3? or the union of two sets with 3 elements in it