Theoretical Probability, Permutations and Combinations

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What are the odds when you play the lottery? When you bet on a horse race? When you flip a coin? That you'll have a good day today? Some of these are simple questions. Some, more difficult. But most events involve probabilities that can be assessed and quantified. Let's look at a few, starting with easy ones, and then trickier ones, while defining permutations and combinations along the way!
Special thanks to Heather Ferris of Vegas Aces! Visit her here:
www.vegas-aces.com/
/ thevegasaces
Watch the whole Mathematics playlist: bit.ly/ProfDaveMath
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Опубликовано:

26 июл 2024

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Комментарии : 73

@MichaelLeightonsKarlyPilkboys 6 месяцев назад

It feels so good to have completed all of this. Never would have believed I'd have gone through a full algebra course so long after leaving school as I've always seen maths as a bit of a blind spot, but I feel so much more confident in going onto more complex maths now. I can't thank you enough Prof Dave. You are a hero!

@sophialorenvelasco4800 3 года назад

I just finished algebra 1 and 2 and geometry this quarantine, (and also astronomy), time to head out to trigo and calculus. thanks a lot prof dave! I've learned a lot and had fun!

@johnathanrudy7049 3 года назад

I know I'm pretty randomly asking but do anybody know a good site to stream newly released movies online ?

@johnathanrudy7049 3 года назад

@Braylen Dallas Thanks, signed up and it seems to work :D Appreciate it!

@braylendallas4892 3 года назад

@Johnathan Rudy No problem =)

@damonsiegiel7855 2 года назад

My son is taking statistics got an 81% on a big test last night I’m very proud of him I didn’t think that this would be very applicable in real life but after watching this video I can see I was clearly wrong.

@errebusaether Год назад

After the time I've spent on studying your lessons. I think I've gotten addicted with the intro. It's like a ritual that I need to watch first before the lesson starts. 🤣

@MMsMsNexus 6 лет назад

Thanks for this video :D I love the subject and hope you'll make soon one about Bayes' theorem.

@ivorscott 3 месяца назад

If this playlist was a book, I'd buy it.

@patw52pb1 6 лет назад

Thank you and all those involved in the content, contributions, efforts and production of this channel. Merry Christmas, Happy Holidays and Happy New Year to all. May the new year bring you, your families and friends much health, wealth, happiness, safety, security, appreciation, respect and peace.

@ProfessorDaveExplains 6 лет назад

it's just little old me! but thanks very much and happy holidays to you too :)

@slickyy21 Год назад

Is it only you who is handling all the work of this channel? Don't you ever get tired or something? Can't beleive it dude

@sheppardscott13 8 месяцев назад

these tutorials are incredibly helpful. thanks professor dave!

@udayalakshminaredla1003 5 лет назад

Simply you are multi talented Dave😃😃

@hoangvietphu8467 6 лет назад

i love this video! thank for your passionate

@AlessandroZir Год назад

we just loved Heather!! ❤️🤸🐬🙌

@joeysacademymathematics6853 Год назад

You're the best teacher ever 🥰

@TonyTorzido 6 лет назад

Wassup Dave. You helped me survive OCHEM. Thanks bro.

@jaineilsart1528 11 месяцев назад

This is a good place for learning the basics and intermediate stuff.

@aaronbanks3673 6 лет назад

Awesome video Dave!

@mayurwahane Год назад

Finished this playlist

@MiltosPol-qn3zh 6 лет назад

Are you going to make a tutorial about the binomial theorem????

@theo-toussaint-algebra-mat8478 2 года назад

Love this dude. I have students use him as a supplement

@Levinsam 3 года назад

Grazie mille Dave! Is it possible for you to create a series on statistics too?

@Kammerliteratur 2 года назад

that'd be great!

@errebusaether Год назад

Indeed. With the knowledge and expertise of Professor Dave. I bet he'll make an extravagant video about the explanation on all of those lessons in statistics.

@AndewMole 5 лет назад

0:03 "He knows a lot about all kinds of stuff" haha

@okaynice3023 2 года назад

Ukraine

@lemao9995 4 года назад

Holy shit, this was great!!! Thanks a lot 👍

@florentinosanchez3969 4 месяца назад

Very nice video

@Mathehoch13 6 лет назад

Thumbs Up for this excellent video from a German Math Tutor :D

@adhiyanthaprabhujeyashanka2091 3 года назад

He is a Canadian I think

@user-vq3lk Год назад

@@adhiyanthaprabhujeyashanka2091who

@user-vq3lk Год назад

When are we getting statistics?:) Sorry for sounding like this It would be just very great

@meenakshi6452 6 лет назад

kindly make a video on conditional probability,bayes theorem as well.

@Kammerliteratur 2 года назад

great vid, but just a small question: where are the answers for Heather's assignments (full house, flush, pair)? i checked the probability online and my answers were completely wrong.

@Nishantmakadiya Месяц назад

Did expected to learn gambling in professor dave videos he really knows lot of stuff 😅

@Ando4611 2 года назад

Stat mech books be like "yea probabilities are obvious *throws coin flip example, dice example* okay now what are the total number of microstates of a quantum oscillator with total energy between E and E + dE with n quantum numbers and N oscillators?"

@ProfessorDaveExplains 2 года назад

Check my modern physics tutorial on the quantum harmonic oscillator!

@slickyy21 Год назад

These big names!

@neonknowledgehub9172 3 года назад

Can you explain why we are dividing the combination by extra r!

@whitefeather8387 10 месяцев назад

Am making out of casino with this one

@estudiosyprogramacion6015 2 года назад

i got lost when she started splaining the three of a kind cards

@user-wo5dk3qn7c 5 месяцев назад

Can someone suggest more educators like him?

@NovaWarrior77 2 года назад

My man.

@bomaathuis7277 2 года назад

About the example with the 2 dices there is something I don’t get. Why are for example 3&5 and 2&6, 3&6, 4&5, and 4&6 counted double and 4&4, 5&5 and 6&6 not. This does not make any sense for me.

@virtual5511 Год назад

Sir solve kvpy

@omidwalid3046 4 года назад

Hi Before studying algebra 2 should we study geometry or no

@matemaatika-math 4 года назад

They can be studied independently until they can't.

@ryanzeng890 3 года назад

what is `Marbes`? :) Good videos btw, thanks Professor Dave!

@slickyy21 Год назад

He meant marbles probably

@bmzaron713 2 года назад

This is so confusing but makes sense probably

@slickyy21 Год назад

I didn't understood a jack.

@Sccoropio Год назад

hello dave... could you please post the slides for reference?

@ProfessorDaveExplains Год назад

There are no slides, I make videos.

@dvrmurthy506 6 лет назад

can u make a video on integration

@ProfessorDaveExplains 6 лет назад

Don't worry, calculus starts on Monday!

@dvrmurthy506 6 лет назад

thanq

@topiado2073 3 года назад

Sir is this content contains complete lesson of algebra? I mean to crack net jrf? Or there's many more left ( m talking only about algebra sir)

@ProfessorDaveExplains 3 года назад

i think at this point in the playlist algebra is over

@topiado2073 3 года назад

Sir I even wanna learn all about matrix only and only from you sir

@topiado2073 3 года назад

Would it be possible sir ji

@ProfessorDaveExplains 3 года назад

yes that's later in this playlist

@PPppp-te5qs 11 месяцев назад

This formula is good nCr = n! / r!(n-r)! 8:14

@syub2407 5 лет назад

Hey guys im so lost with my assignment about probability (including combinations) so What if a player is given 2 rounds to pick a color? For example, the player must get a pink and a pink to win a game, a pink and a blue is a loss regardless of the order. Considering that there are 10 overall options 4 pink,3 blue, 2 black and 1 brown . 100 trials for example. Will I be using combinations with repetition formula (because colors can be repeated)? My working out so far: Based from the combination with repetition formula -> 11C2 = 55 Pink and Blue -> 12 Pink and Black -> 8 Pink and Brow -> 4 Blue and Black -> 6 Blue and Brown -> 3 Black and Brown -> 2 Pink, Pink -> 10 Blue, Blue -> 6 Black, Black -> 3 Brown,Brown -> 1 which all totals to 55, Am I on track or completely off track? or do I use the other formula? so for example pink and blue to convert it into percent its going to be (12/55) x 100 = 21.81 percent ish of getting it or is it going to be pink and blue example (4/10 x 3/10) X 100 =12 percent of getting it?? please T^T

@matemaatika-math 4 года назад

For every trial: The total of combinations is 45. Good combinations are the sum of pairs: 6 + 3 + 1 === 10. Probability: 10 / 45 === 2 / 9.