Probability (part 2)

[@Mises85]

The ordering for this playlist makes no sense

[@HopefulMathGirl]

What ordering do you recommend? It'll be helpful for me, can you make a playlist for example?

[@lordsgyift5497]

5:30 "is because..(fart)"

[@74dorset]

At 6:31 I am confused. ''The probability of getting a heads a second time is completely independent as to whether I got a heads the first time''. ''The more you do it then the probability of getting a heads does increase''. Can anyone shed some light on this?

[@frankthetank1285]

Your videos are excellent and have proved invaluable during my return to college. Thanks!

[@tdrawdy2]

I really find your videos useful and well-explained. You enunciate clearly and your writing (on whatever program that is) is visible. Thank you.

[@calvinhobbesliker2]

technically, the side that a coin lands on is determined by how hard you toss/flip it, which side it sharts on, how fast it spins, air resistance, gravity, etc.

[@pantelisdj1]

when i rush thing its confusing,dude chill we watch the vid at 1.5,one love

[@TanmayDharmaraj]

You know you are from computer science when you calculated 2^7 without thinking even once :)

[@kdjones1116]

Decent Job, not as fluid or consistent as it could be - but some experts just cannot teach. They are great at understanding the concepts themselves, but when it comes to effectively relaying concepts to someone who is not an expert yet - they haven't a clue...see most professors.

[@prachioza]

"im gonna switch colours just for the hell of it" HAHA i love him!

[@enter08com]

@TheD3fu53r He said in the first video: "EQUALY PROBABLE". And if we take the conditions you said, than the proportion of H:T wouldn't be anymore 50:50. I.E. If the heads side is twice heavier, than it'll be 75:25 H:T.

[@allahisonenonly]

DID anyone heard, he farted at 5:33 LOL

[@francosjohn3298]

Ikr

[@greenbeans8466]

Hahahha

[@sampurnakc]

now I know he is a human.

[@jasmeetsingh989]

hahahahahaa bhai yrrrrr

[@mehulgrover1871]

Even more😂😂

[@DeathG4n]

@MegaTouchReviewer nope, he's a Muslim, and he encompasses very important principles of Islam, which is not being materialistic (he could earn a lot with his harvard degree if he wanted too) and choosing to help people without compensation while remaining humble. truly a great man and an example that people should view as a real muslim instead of the stereotypical violent man with the beard (which is really a minority). I hope more people like sal show the world what islam is really about

[@revincentiii]

Outstanding as usual! I am instructing this right now. Sal is my top choice out of the five or six instructors.

[@Didi_is_queen]

15years after this video just saved me and helped me.

[@SawPulse]

why do they teach us this like i honestly couldn't give a flying fuck whats the probability of John scoring 12 penalty kicks in a row..... Thats literally the questions that they give us in exams

[@JustnCas3]

***** HAHAHA i know bro. im trying to learn this shit and im sitting in class thinking why the fuck im doing this if i dont give a fuck about this shit. FUCK

[@morandalynn77]

+Pulse I know! I'm a nursing major, and this is a required course. Grr

[@cherryblossoms4528]

+Pulse I thought I was the only one having such thoughts about Stats. So glad to know there are others too :)))

[@boat-dog8622]

+Pulse FUCK IT! FUCK STATS BRO! Let's rebel! Woo! We'll ban stats across the fuckin nation bro!

[@GunbladeXBustersword]

+Pulse it's for research purposes i think...its a prerequisite for a research course i will have in the future...so you can count data and stuff...not sure tho

[@2cabs2toucan]

The best you can hope for using probability is to calculate least risk bets. The most important thing to learn from calculating probabilities for casino games is that the house wins in the long term. You could learn to count cards at blackjack. It would be interesting to see how much your odds are improved with the casinos multiple decks. Still, they ask good counters to leave the table apparently.

[@TheHeytheregirl]

Great videos. May God bless you and your family

[@PidginDownload]

Khan academy is incredible, great probability lecture.

[@chandraprasad4429]

I can't thank you enough for your teaching approach

[@gatoraid01]

If you assume that you do not know what side is upright when you flip it ...technically all that does not matter. That is if the coin is equally weighted and fair.

[@fapohundabendict1689]

This is crazy It is a video from 16 years ago and still helpful than the new text book

[@bnv8514]

Sal: teaching his heart out People in the comment section: noticing his fart 😂😂😂

[@YouPokerAcademy]

These videos are a great supplement to my poker coaching channel!

[@tudorraneti]

Keep in mind that this is a mathematical model of reality, which being separate of reality itself, only aproximates it so well. Gambler's fallacy (see wikipedia) is not entirely true, in fact is ~ 96% to 98% true, as I've discovered in my own experiments :) It's proven experimentally (see Penney's game wikipedia), that you can win a coin toss game by a system that falls into the Gambler's fallacy category

[@TheHeytheregirl]

Great videos..May god bless you and your family with all the good things

[@IdentNone]

You know that how...? Give me your crystal ball, brosky.

[@yujisamadesu]

the last sentence may be quite wrong as if it was a person in vegas who had the lucky streak... i thought the part where he said " u get 200 tries (or something...) " should be wrong as it`s a totally different person getting the tries and so the probability should be reduced back to the 50% chance...

[@Pr0x1mo]

Khan, have you seen Derren Browns The System video? If you haven't, you would watch all of Derren Browns stuff, he exposes a lot of erroneous beliefs humans have when it comes to probability (how we attribute magical or superstitious beliefs to chance and probability).

[@AnuragTK]

I love you Sal Khan!!!

[@sblizzy]

for us slower guys please explain on the 5 heads in a row equation how 1/2 to the 5th + 1/32? I was with you all the way until you got to that...please help someone who really wants to learn this. Im going to go to school for ITM and in intro to algs they are stressing to learn probs and I'm determined!!

[@Stickytaks]

I really liked the example in the end lol ;)

[@uscaptainstraining]

what hardware and software do you use to create these lectures. i develop online course content and its a very cool tool.

[@adit2200]

First time I saw Sal cuss. Why did he say"hell"

[@thelemur]

The 2 fysical sepparate actions, of throwing a coin, and it turning out to be a head or tail, 2 times in a row, are completely independant of eachother, obviously. And so, also is the outcome. BUT, as you keep doing this, the PROBABILITY of the turnout, vill converge to 50/50 % outcome. Thats the point. you CANT ultimately PREDICT anything, but, you can come up with a pretty good GUESStimate, from this theory.

[@victorclash2837]

my teacher uses these videos in class A LOT!

[@samyoe]

What's he getting paid for? He could at least learn the lesson then act it off as if it was his.

[@ivyy11]

+charmyoe Lol ikr

[@hmdlamin93]

nice video man! u explain rly well.

[@roarmaster2]

can u please do a video on bearings

[@monke6y_487]

Well chanch the color just for the hell of it

[@mcook10128]

That's actually funny. No need to be rude. I will try to explain: Two events are independent if you knowing that one has occurred tells you nothing about whether the other has occurred. If two events are mutually exclusive, if one occurs then you know that the other can't occur. The definitions are illustrated by the old joke about the woman who says: "My husband and I vote completely independently - whatever he votes, I vote the opposite!"

[@kamrynking2858]

my life is saved.

[@savelives6936]

Omg you have changed your voice in the videos that are 2 , 3 years ago😃 the more enthusiastic...

[@naughtydevil02]

thank you so much i was struggling with this so much i mean i m generally really good at math but i had no background of probability and this is so gr8 thanks:D

[@calvinhobbesliker2]

Reading a get rich book doesn't suit me more than trying to look at all possible causes for a physical phenomenon.

[@KALER22g]

sorry to say but didn't explain about the "OR" and "AND" rule, which ment "+"and"multiply" respectively.

[@mcook10128]

At 6:40 you say "with mutually exclusive events you can just multiply the probabilities". You mean "independent events".

[@kevinp4666]

What is the probability of 2 exact same group of events consecutively out of 100 flips? For example: (HHTHT)(HHTHT).

[@Megawhites2]

I'm not asking this to be rude or anything but...just out of curiosity, was 5:34 a moment for gas to pass? For some reason that question just keeps nagging me xP Other than that, thanks for the vid dude. Every time I'm stuck with math, I always turn to youtube and khanacademy saves the day. Thanks for all the time you've given to teach us. It's greatly appreciated.

[@jonjonjon1370]

Hey Sal, at 3:25, what if I don't get 25 heads out of those 50. Through typing, it's hard to show what I mean. Is that like, the estimation?

[@mulimotola44]

instead of multiplying it's easier to think about it in terms of dividing 1 by 2, and then by 2 again, and then by 2 again, until we get to that probability at the end of the "tree" that is our answer.

[@ubentu]

@funnyb0y3000 Hey Just used paint, a digitizer tablet, and Microsoft paint... and a screen capture program.

[@jimjmcd]

Mathematically, this may be unexceptionable, but philosophically, I have some problems with it. When you start defining the conditions of your probability demonstration in terms of "equally probable" outcomes, I think, "Wait a second. How can we talk about 'equally probable' outcomes when we don't yet know what probability is?" And a little later, you unhesitatingly say that one hundred coin flips *will* yield fifty heads. Well, of course, it might. But this is the real world, isn't it, and I would be quite surprised if one hundred real coin flips yielded exactly fifty heads. Would you agree that I'd be right to be surprised? Could you tell me exactly how likely or unlikely that outcome is? I bet you could, and *that's* what I want you to teach me.

[@BenjaminTheBatchelor]

Look up "inductive logic" in philosophy. The difference between deduction and induction are what you are looking for. Crash Course here on youtube does a great job with this in their Philosophy series.

[@longhorn4500]

What is the reason for MULTIPLYING 1/2 by 1/2? Why don't we add or subtract or divide? It would be better to explain that.

[@calvinhobbesliker2]

Because I noticed that a coin toss isn't a phenomenon that works by chance, but by the laws of physics?

[@abhishekkwatra1426]

This is the video I was looking for :)

[@mj6637]

great application at the end; akin to ascribing to skill the outperformance of some mutual fund managers relative to a benchmark what can more appropriately be explained by luck, given a pool of thousands of fund managers.

[@malgrif091]

i'm confused as to why multiplying probabilities in the probability tree will result in the overall probability of the event...Why are you multiplying in the first place?

[@zahraahaider5117]

Great vid.

[@incalite]

I like the "Reality" reference! :D

[@SuperDMK123]

Here are comments regarding his race,religion and origin.I don't think sal focuses on who he is but what he does.So it's not worth talking abt it.

[@TycoMusicChannel]

Thank you so much! your voice is like lucky dates!

[@zahraahaider5117]

Yup.

[@peacebewu]

can you use this with dices?

[@TheD3fu53r]

not to be a smart ass or bashing Sal, but the heads side on a coin is heavier than the tails side, so isnt there more of a chance of it being heads?

[@twinz2008]

If 128 people in a room flipped a coin 7 times, what is the probability that at least two people will have the same combination of heads and tails?

[@sterlingarcher3480]

+twinz2008 69-++

[@boat-dog8622]

+twinz2008 iPod

[@wasuuu]

approximately 0.0061 percent

[@bipros7]

1-(1/(128*128))=1-.0061=0.9999 approximately

[@kyleek8468]

What is the probability that a blue marble is drawn, replaced, and a red marble is drawn

[@magdlutfi9363]

very good, and helpful.

[@tankstocks]

Mutually exclusive events and Independent events do not have same meaning, here Mr khan is talking about Independent events, not mutually exclusive events. Here, Mr, Khan is talking about Independent events.

[@_batman.]

wtf man? where did that come from? lol

[@adamrobertorr9019]

How do you explain to someone why the summation of the probabilities is equal to 1? like on the probability tree, you can get HH, HT, TH, or TT and the probability of any one of those outcomes is 1/4.. there are 4 outcomes and it add's to 1. I can't explain in english, the logic, of this.. :') how

[@dopier12]

+A.R. Orr, Because there's one whole experiment. Although you may many events within that experiment, always consider the overwhelming factor that it's 100℅ of something that satisfies it...whereas we know 100% of something should mean that one thing.

[@MrDummyHalf]

Very helpful sal. Ty

[@gennkill]

your videos rock

[@B.A.Gondal]

did u just say "just for the hell of it" on 7:54 lolzzz....kool teacherrrr

[@ronney2772]

just because his name is salman it doesn't necessarily mean he is Muslim. i know a bunch of people with Muslim name that are actually atheist and Christians and even Buddhist

[@usmc2141ilya]

Turns out last 5 chicks I dated all had b-day in July... that is (1 in 248,832) chance of that happening.... bit strange.

[@kuldeepsen3364]

John Doesit Kawanise Jones hi I am probability and Statistics tutor contact me on my whatsapp number to get help. I help you in doing your homework assignments and other things. [phone]

[@jasonvamvakidis2542]

I wish you were my prof

[@HopefulMathGirl]

Me too

[@KimozGM]

Thx man your vids are amazing and they helped me alot with my MATH TEST! :)

[@Xubbex]

good job..

[@funnyb0y3000]

what program do you use for this?

[@niconikko]

SO, there's a (1/2)^100 chance to have 100 heads in a row. Wow, much harder than a lottery ticket !!! LOL

[@tbilisidavid]

nice videos

[@pradeep422]

Mr. Khan couldnt be my teacher in my school days. I m so unlucky spend my childhood so horribly with my ridiculously stupid teachers.

[@lulu4425]

at 7:53 did he sya" lets switch colors just 4 the hell of it?"

[@karolis88]

The probability that you get some tail is pretty low

[@SuperDMK123]

great listener

[@sblizzy]

@sblizzy I meant = 1/32....sorry

[@dk2fml895]

does sal have a lisp here

[@SolacePiano]

hehehehe, Sal got five heads xD

[@woRstbB]

but i dont have a coin, how do i do maths then

[@teresiakaranja2438]

i like it pretty much

[@syedhedayat]

Mash Allah He is a Muslim! His full name is Salman Khan and people named Salman are muslims.. Salman is a Muslim name.. :)

[@2fat2cpp]

No head?????

[@calvinhobbesliker2]

I am here because i typed my username and password in their corresponding boxes

[@themartianstate1052]

People should watch this before they go to casinos "to get rich"

[@eff700]

i adore u!

[@talk2ayaz]

yes he is muslim from Pakaistan.

[@sydneygorlick]

and tail

[@Cupcake898789]

he farted at 5:33 OMG haha what a legend :O

[@MonaSykes]

HAHHAAAAA. OMG YOU FARTED !!!!!!!! AHAHAHAHAHAAAA...YOUR FART SOND IS SO CUTE !!!! 3.34

[@albertjia5009]

Ur stupid

[@MonaSykes]

** you're

[@fadyfayed8449]

Azula Mikazuki you :)

[@usmc2141ilya]

Probability of someone farting within 9.88 min/1440 min AKA in one day. ~14times (google said) a day. Roughly .7%.....maybe if you eat beans you can quad ripple that number. Small chance but this is not winning a lottery.

[@ronney2772]

u said his name was salman so he is muslim i only said that thats not always true i never said he wasnt muslim