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

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

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[sparkgin]

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

[himanshusingla]

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 ?

[Ekman]

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

[avalanji]

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

[PsychYouOutlnTheEnd]

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

[vagabond]

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.

[Shoxzy]

Very useful! Khan is the best for sure!

[WatermanSurin]

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

[juanbaclavab]

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?

[hayspatton]

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

[thearpita]

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

[Waranle]

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

[bookworm]

This actually makes sense! Mind-blown.

[kentlandzintoba]

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?

[grygerroo]

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...

[doughnut]

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]

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

[niffwasau]

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

[karandeepsingh]

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

[manishchaudhary]

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