Example: Lottery probability | Probability and combinatorics | Precalculus | Khan Academy

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What is the probability of winning a 4-number lottery?
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Опубликовано:

26 июн 2010

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Комментарии : 113

@sparkgin 11 лет назад

It's important to understand the reasoning behind the formula so rightly said!

@Shoxzy8669 11 лет назад

Very useful! Khan is the best for sure!

@thearpita26 12 лет назад

thank you so much sal...!!these videos are very helpfull.. god bless you...

@Ekman900509 13 лет назад

These 4 vids learned me everything about permutation and combinations that I tried to learn with my calculus book for hours.

@aradvi2143 4 года назад

This was great, I've been looking for "lottery wheel pick 3" for a while now, and I think this has helped. Ever heard of - Weyoralyn Winning Willingly - (do a search on google ) ? Ive heard some incredible things about it and my mate got great success with it.

@carmenguzman2888 4 года назад

Cheers for this, I've been looking for "what are the luckiest lottery numbers?" for a while now, and I think this has helped. Ever heard of - Fenackson Conspicuous Finder - (just google it ) ? It is a good exclusive guide for discovering how to improve your chances of winning he lottery without the hard work. Ive heard some interesting things about it and my work buddy got cool results with it.

@aswaldcastillo2446 3 года назад

This was great, been searching for "is there a strategy to winning powerball?" for a while now, and I think this has helped. You ever tried - Menaleb Prefatory Method - (do a search on google ) ? It is a good one off guide for discovering how to find your lucky day to make you succeed in the lottery minus the hard work. Ive heard some unbelievable things about it and my neighbour got great success with it.

@sarasswathy3527 3 года назад

@@aswaldcastillo2446 can u teach me how to calculate I'm still don't understand

@sarasswathy3527 3 года назад

@@aradvi2143 Can u teach me how to calculate I'm still not understand

@himanshusingla8996 4 года назад

If a player choose 6 numbers from 1 to 49. And the winning numbers are 12, 17, 23, 24, 27, 39. Then which formula has used for solve this and what is the next winning numbers ?

@WatermanSurin 11 лет назад

thank you so much for your tutorials! they are very effective.

@PsychYouOutlnTheEnd 11 лет назад

Pre-Calc goes back to this stuff... my class is doing a unit on this right now.

@avalanji 9 лет назад

you helped me so much! I hope I can perfect my exam tomorrow! Thanks a lot! ^_^

@georgiavassilopoulou4377 Год назад

I hope you aced it !!

@Squirrelisious 9 лет назад

this is so helpful omg

@Waranle 14 лет назад

Thank you Sal, plz more videos of discrete maths :)

@bookworm4231 11 лет назад

This actually makes sense! Mind-blown.

@pragathireddy5290 Год назад

😂

@l4l01234 12 лет назад

Excellent video.

@Vleertouwer 11 лет назад

Thanks Sal

@rvids01 11 лет назад

got it!!! thank you so much Mr.Khan!!!

@brittanyainsworth9307 4 года назад

Winner of a video, I've been looking for "proven lottery winning system" for a while now, and I think this has helped. You ever tried - Zenulian Lottify Bonkers - (do a search on google ) ? Ive heard some pretty good things about it and my buddy got amazing results with it.

@hayspatton9074 11 месяцев назад

Question, the numbers that you made smaller, is it because they were even, and you have to take them to the lowest factor or

@YEHEY55 11 лет назад

do you have more videos about this? I would really appreciate it :D

@klinga8 11 лет назад

so true :)

@vagabond197979 12 лет назад

It cracks me up when people think that a lottery ticket with numbers 1, 2, 3, 4 has less chance of winning than a ticket with more "random" numbers like 13, 21, 41, 56.

@SuperYtc1 Год назад

It has the same chance of winning, but its expected value is less, as more people pick those numbers, so if you were to win you'd be sharing the prize money with more people.

@addhoardingprocrastinator 5 месяцев назад

mathematically the same probability yes, but organically the same probability will it hit, no.

@manishchaudhary1000 Год назад

Can the coming numbers be detected on the basis of the previous numbers from one to hundred numbers?

@niffwasau1815 3 года назад

My teacher takes A15 min to teach this, thank you!

@dpgboss6209 3 года назад

நன்றி

@archangelvalentine 10 лет назад

Aww yiss, I can math. Thanks a lot.

@famous9171 7 лет назад

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@motasralucamaria 5 лет назад

Just wonderful, been searching for "how many combinations of lottery numbers" for a while now, and I think this has helped. Ever heard of - Weyoralyn Winning Willingly - (search on google ) ? Ive heard some super things about it and my work buddy got cool results with it.

@crystalidx 13 лет назад

@24ballin23 He did do that, because order doesn't matter, he divided it by 4! and he got 487635 for the combinations. And for the possibity he got 1/487635. its not wrong.

@shareefmahboob6767 6 месяцев назад

Ok Mr khan

@kentlandzintoba Год назад

Yes that's right most people know what the odds of 4 out of 60 are, what are the odds of 3 of 60, 2 of 60 and 1of 60?

@juanbaclavab 4 месяца назад

I have a question/dilemma about a math problem for you math experts: There's a sports lottery game where there's 14 football matches (each match can end in 3 ways, the local team wins=1, there's a draw=X, or the visiting team wins=2). Let's say for instance I have to guess 10 of those matches (1, X or 2). What are the chances of randomly guessing any of those 10 matches out of 14? I looked on various sites and they used the formula ''3 to the power of 10'' resulting in 1 in 59049 chance but it's incorrect and it's a ridiculously large number too, they calculated the chances assuming there's 10 matches in total and not 14. How can I calculate step by step the correct chances of guessing 10 out of 14 matches?

@jaeti1643 11 лет назад

I didn't know you could learn permutations and combinations from calculus. That's strange, I would think stats but not calculus.

@grygerroo8963 7 лет назад

i know some guy who asked this.. why are the chances of winning the lottery in the millions. when really if you only had to choose 1 number from a set of 49 numbers your chances of getting that number right are 1 in 49, so after that seeing that numbers don't show up twice your chances of getting that second number is 1 in 48, then 1 in 47 for the 3rd then 1 in 46 for the fourth. so technically the chances of winning the lottery should be one in 49+48+47+46+45+44 which is 279...

@doughnut469 Год назад

Helppp; what happens when you pick sequential numbers such as 1,2,3,4,5,6? Or 1,11,22,33 44,55 Are the odds still the same?

@Mrster 11 лет назад

Unless I missed something, you haven't addressed WITH repetition and NO order?

@sperg1 2 года назад

According to my friend I've been debating for the last hour it's actually 50% because get this, "you either win or you dont" LMAO

@gho5tspartan26yt Год назад

Are there never duplicate numbers in one roll?

@karandeepsingh6977 11 лет назад

Good luck with winning the lottery with that big ass number of combinations. :D

@Angelkid190 5 лет назад

You can't.

@keeplearning4441 3 года назад

This was great, thanks, been searching for "lotto winning systems that work" for a while now, and I think this has helped. You ever tried - Zenulian Lottify Bonkers - (Have a quick look on google cant remember the place now ) ? Ive heard some unbelievable things about it and my mate got great results with it.

@TheTCOLL 3 года назад

I was under The impression that factorials required you to go all the way down to one. Every example I’ve looked at goes from 7654321. Why do you only do four as it it some sort of rule? For example seven factorial two goes all the way to one it doesn’t just go 76 and stop there.

@Gytax0 11 лет назад

Why would you need combinatorics in calculus?

@andrewp303 12 лет назад

your thinking what is the probability of choosing this combination numbers out of all possible combinations of numbers given that there already the winning numbers not whats the probability of this set of numbers being the winning combination out of all possible combinations. a little late and possibly wrong but i needed to explain to my self as well :D

@coldchillin8382 4 года назад

So if you bought 487,635 tickets to account for all of the possible combinations you’d have a 100% chance of winning. The question is who has the time to fill out that many tickets

@SuperYtc1 Год назад

Nope, it would be less than 100%. For example the probability of throwing 2 heads in a row is 1/4. But if you tried to throw 2 coins 4 times, you're not guaranteed to get 2 heads in one of the pairs.

@Sakoesis 9 лет назад

What's the point of (60-4)! (or 56!) ? That figure was not used at all; it magically disappeared from the formula.

@JordanUpiter 12 лет назад

Ok I am a little confused. Would it work if i wrote. (1/60)*(1/59)*(1/58)*(1/57) Since u have a 1 in 60 chance to get the first number then 1 in 59 chance for second and so on would this work? but i dont get the same answer

@SuperYtc1 Год назад

That's what I did and then I multiplied it by 4! because you want to count all those orders of combinations. But my answer is different. :/

@maracas3894 2 года назад

How to know the probability of losing?

@Paul2 10 лет назад

wouldn't the solution be 4/487,635?, not 1/487,635? cuz it says regardless of order? maybe i'm just confused... could someone clear this up?

@dstan16224 4 года назад

The answer in the video is correct because they are just finding the probabliity that these four numbers will be selected and not the number of combinations that these numbers will be selected . Hope I was able to help.

@whysomad6338 10 лет назад

THANK-YOU! I actually get this wtf I feel like a genius

@pieroachique3202 4 года назад

This was great, thanks, I've been looking for "pick 5 lottery wheel" for a while now, and I think this has helped. You ever tried - Zenulian Lottify Bonkers - (do a search on google ) ? Ive heard some great things about it and my brother in law got excellent results with it.

@sierrapadilla808 4 года назад

Cheers for this, I have been researching "possible winning lottery numbers" for a while now, and I think this has helped. Have you heard people talk about - Zenulian Lottify Bonkers - (Have a quick look on google cant remember the place now ) ? Ive heard some decent things about it and my mate got excellent results with it.

@keeplearning4441 4 года назад

Just wonderful, I have been researching "free lottery wheel pick 6" for a while now, and I think this has helped. Have you heard people talk about - Zenulian Lottify Bonkers - (do a search on google ) ? Ive heard some great things about it and my mate got cool success with it.

@balakrishnan9373 2 года назад

Can you explain how to get the all possibilities number,with formulas,and show those numbers

@156peacelove 12 лет назад

this video is about to understand what the calculator does. you could do this example now without calculator if you watched the video. and that's the point of mathematics.

@TheVengefulBeast 10 лет назад

So, what is the purpose of the "nPr" and "nCr" buttons on a scientific calculator?

@maracas3894 2 года назад

It's been 8 years, but......click shift that × for nPr meaning permutation. If you're solving Combination then click shift then ÷ for combination

@TheVengefulBeast 2 года назад

@@maracas3894 haha you’re amazing, I ended up finding out after but I forgot it by now, thanks for re-teaching me something new 😂

@maracas3894 2 года назад

@@TheVengefulBeast Anytime, man 🤣

@oardude Год назад

What if you pick 8 numbers but need only 4 to win?

@newsandeducation3799 5 лет назад

You just solved the sum. No use for actual lottery

@DeadlierThanEver 8 лет назад

I'm thinking the correct answer is 4!/(60C4). Since the order didn't matter.

@junsid1 7 лет назад

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@himanshusingla8996 4 года назад

I also tell a question to you.

@rohanpuri7899 9 лет назад

you can just use the combination button on the calculator once you understand the concept.

@Capuccinoish 11 лет назад

PLEASE HELP! The digits 0, 1, 2, 3, 4, 5 and 6 are used to make 3 digit codes. In the case where digits may be repeated, how many codes are numbers that are greater than 300 and exactly divisible by 5?

@joyhiker1 6 лет назад

please help I am looking at pick 4 and you pick from 1,2,3,4,5,6,7,8,9 how many 4 digit codes is there?

@brianbae2000 10 лет назад

lol, that's extremely low for a lottery. In real life you only have one in like something hundred millions chances of winning.

@ajnasu5099 4 года назад

This is glorious, I've been looking for "wheeling lottery numbers free" for a while now, and I think this has helped. Have you ever come across - Zenulian Lottify Bonkers - (just google it ) ? Ive heard some incredible things about it and my work buddy got great success with it.

@user-wz9zt3xp4m 2 года назад

I think it's because in the video we don't care about order, but in real life you can't chose numbers in any order because you just cross them so there is just one possible order But in this example you would write numbers in brackets so In real life it would be 60!/(60-4)! = 11 703 240 But I may be very very wrong

@VarunKeshav 12 лет назад

I feel bad to point it out( Coz your videos help me score high) but the last part of the explanation is wrong. The winning numbers 3,15,47,49 are not arranged in that order. Since you said that the order in which the numbers on the lottery appeared didnt matter. Hence shouldn't the probability be 24 divided by 60C4 since those 4 winning numbers can be arranged in 4X3X2X1 ways??

@datarachit 5 лет назад

i also thought that before. but since order doesnt matter, we have to divide the same 4x3x2x1 with 4x3x2x1

@arnas380 5 лет назад

but what is the secret I missed it

@anrojo14 11 лет назад

taught*

@DMOREL11101 6 лет назад

I loode my hopes jaaja

@jr0141 11 лет назад

Now you'll just need to find a vid that teaches basic English.

@24ballin23 13 лет назад

His answer is wrong. Its [24/ 487635] because the order doesn't matter thus those winning numbers occur in 4!=24 ways.

@parthpatel3331 6 лет назад

Rutu Amin that's what I was finding in these comments if someone has pointed out 4! Yea..... actual answer is 0.0002050714% probability!!

@hetaeramancer 4 года назад

@@parthpatel3331 24/487,635 is 0.004921713%

@albertsallent 2 года назад

But 487635 is the number of different combinations of 4 numbers out of 60 regardless of the order, isn't it?

@doggygaming950 Год назад

He is correct, you are wrong. He is already dividing by 24, 4!....you are for some reason dividing the answer by 24 after its already divided by 24...why?

@doggygaming950 Год назад

@@parthpatel3331 your answer is the same as in the video but expressed as a percentage.

@thebluq2110 4 месяца назад

In limba română VA rog

@50LightSabersInAPack 12 лет назад

Flipping heck man you overcomplicated this way too much, all you needed to do was 1 / (60C4) and that's it. Done in about 30seconds to 1minute.

@lauraanaya605 4 года назад

This was great, I been tryin to find out about "picking winning lottery numbers free" for a while now, and I think this has helped. You ever tried - Zenulian Lottify Bonkers - (Have a quick look on google cant remember the place now ) ? Ive heard some amazing things about it and my buddy got amazing success with it.

@thedancingalien7766 5 месяцев назад

Let a parrot Choose Them😮😮😮

@MrTakeUrBitch95 11 лет назад

luv this man *no homo*

@jarintasnim2130 4 года назад

Don't get it 😅 😔😭

@parthpatel3331 6 лет назад

There is a mistake I think.... it should be... 0.0002050714% As total possible events are... 60*59*58*57 And.... outcome is not 1.... it's 4 factorial!! That is.... 24!! As order won't affect the matching system!! So P=[(24/11,703,240)*100]% Thanks!!

@lusulaly3194 3 месяца назад

Says, you're rich, got jackpot worth of billion from USA? 😅

@Boxhistorian Год назад

tomorrow im gonna be a millionaire\

@paulletroccortel3035 3 года назад

incorrect

@Chocokriz 12 лет назад

If he did that, then it would be the worst video ever.

@brianandrew7265 3 года назад

This was great, I have been researching "free lottery wheel pick 5" for a while now, and I think this has helped. Ever heard of - Zenulian Lottify Bonkers - (Have a quick look on google cant remember the place now ) ? Ive heard some extraordinary things about it and my mate got cool results with it.