Theoretical Probability, Permutations and Combinations

[@MichaelLeightonsKarlyPilkboys]

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]

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]

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

[@johnathanrudy7049]

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

[@braylendallas4892]

@Johnathan Rudy No problem =)

[@errebusaether]

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. 🤣

[@damonsiegiel7855]

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.

[@andrewdavis1427]

For someone who has learning disabilities, this is very in-depth, shows a hands-on way of learning, makes it relatable, and goes step by step. It is a great resource.

[@patw52pb1]

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]

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

[@slickyy21]

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

[@MMsMsNexus]

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

[@udayalakshminaredla1003]

Simply you are multi talented Dave😃😃

[@sheppardscott13]

these tutorials are incredibly helpful. thanks professor dave!

[@ivorscott]

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

[@AlessandroZir]

we just loved Heather!! ❤️🤸🐬🙌

[@joeysacademymathematics6853]

You're the best teacher ever 🥰

[@HonestADVexplorer]

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

[@Kammerliteratur]

that'd be great!

[@errebusaether]

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.

[@TonyTorzido]

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

[@hoangvietphu8467]

i love this video! thank for your passionate

[@MiltosPol-qn3zh]

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

[@jaineilsart1528]

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

[@Mathehoch13]

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

[@adhiyanthaprabhujeyashanka2091]

He is a Canadian I think

[@user-vq3lk]

​@@adhiyanthaprabhujeyashanka2091who

[@mayurwahane]

Finished this playlist

[@yasin-sy7ip]

In-depth explained

[@neonknowledgehub9172]

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

[@meenakshi6452]

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

[@rubinvoricica]

Minute 4:00 how do you know for certain that first soke you draw was red? Couse you said . Now we have only 4 red soks ..

[@theo-toussaint-algebra-mat8478]

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

[@user-vq3lk]

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

[@AndewMole]

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

[@okaynice3023]

Ukraine

[@Kammerliteratur]

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.

[@aaronbanks3673]

Awesome video Dave!

[@lemao9995]

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

[@florentinosanchez3969]

Very nice video

[@Tarun-v3v]

Can someone suggest more educators like him?

[@nytr]

13:45 shouldn't it be 45 possibilities? you already have one of the kind of the fourth card on the table, so only three of them are in the deck, or not?

[@neophilus9821]

I think it should be 44. Because it should be one of the kind, we put the fourth card that matches the first three aside. Thus you have 48 (52-3-1) possibilities for the fourth card. Normally the fifth card would have 47 possibilities. However it shouldn’t match the fourth card, and because you have 3 matches of the fourth card, you should put them aside. Leaving you with 47-3 = 44 possibilities.

[@Nishantmakadiya]

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

[@Sushant-ot1fp]

@@Nishantmakadiya maybe someday we should have a gamble, because you and I were meant for a fate like this I am the lie eater 🗣️🗣️

[@whitefeather8387]

Am making out of casino with this one

[@bomaathuis7277]

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.

[@omidwalid3046]

Hi Before studying algebra 2 should we study geometry or no

[@matemaatika-math]

They can be studied independently until they can't.

[@lycheeleafy]

I study Algebra II and Geometry at the same time.

[@virtual5511]

Sir solve kvpy

[@dvrmurthy506]

can u make a video on integration

[@ProfessorDaveExplains]

Don't worry, calculus starts on Monday!

[@dvrmurthy506]

thanq

[@Ando4611]

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]

Check my modern physics tutorial on the quantum harmonic oscillator!

[@slickyy21]

These big names!

[@PPppp-te5qs]

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

[@estudiosyprogramacion6015]

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

[@RedRahiq]

Three of a kind are when you get three cards with different type ( Hearts, Clubs,...) but same number or kind (Ace, 7, Queen,...) and the other cards must be different because if we had a 4th card that matches the first 3 then it is a Four of a kind and not three of a kind. So the 4th card possibity is 52-(3 we got + 1 that matching card)=48 possibilities. If the 5th card matches the 4th then it is a Full house but we want Three of a kind and not a Full house. A Full house is when we have Three cards of the same kind and a pair of the same kind. So the 5th card possibility is 52-(3 we got + 1 that matching + 4 that matches the 4th card)=44 possibilities. 48x44 all by 2 as we want a combination, not a permutation. Then we multiply 52 by it, get 54912 then divide it again by 2598960 (number of combinations) to find how likely we could get a Three of a kind, which is 0.0211 or 2.11%.

[@topiado2073]

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]

i think at this point in the playlist algebra is over

[@topiado2073]

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

[@topiado2073]

Would it be possible sir ji

[@ProfessorDaveExplains]

yes that's later in this playlist

[@NovaWarrior77]

My man.

[@Sccoropio]

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

[@ProfessorDaveExplains]

There are no slides, I make videos.

[@kidkid123123123]

Why 44 possiblities for the fifth card?

[@ryanzeng890]

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

[@slickyy21]

He meant marbles probably

[@slickyy21]

I didn't understood a jack.

[@syub2407]

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]

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.

[@bmzaron713]

This is so confusing but makes sense probably

[@187vikassingh5]

😊wow

[@LuckyRody]

professor Dave, do you ever play poker?

[@ProfessorDaveExplains]

eh, once in a while, it's not my thing so much

[@lovelynarhe]

I did not understand.

[@aliyazdan6282]

First comment ....yoooo ....sir likr my comment

[@CoolCody]

Did this video just teach people how to count cards????