Theoretical Probability, Permutations and Combinations

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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Пікірлер: 73

  • @MichaelLeightonsKarlyPilkboys
    @MichaelLeightonsKarlyPilkboys6 ай бұрын

    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
    @sophialorenvelasco48003 жыл бұрын

    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

    @johnathanrudy7049

    2 жыл бұрын

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

  • @johnathanrudy7049

    @johnathanrudy7049

    2 жыл бұрын

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

  • @braylendallas4892

    @braylendallas4892

    2 жыл бұрын

    @Johnathan Rudy No problem =)

  • @errebusaether
    @errebusaether Жыл бұрын

    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
    @damonsiegiel78552 жыл бұрын

    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.

  • @MMsMsNexus
    @MMsMsNexus6 жыл бұрын

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

  • @patw52pb1
    @patw52pb16 жыл бұрын

    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

    @ProfessorDaveExplains

    6 жыл бұрын

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

  • @slickyy21

    @slickyy21

    Жыл бұрын

    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
    @sheppardscott138 ай бұрын

    these tutorials are incredibly helpful. thanks professor dave!

  • @ivorscott
    @ivorscott3 ай бұрын

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

  • @udayalakshminaredla1003
    @udayalakshminaredla10035 жыл бұрын

    Simply you are multi talented Dave😃😃

  • @hoangvietphu8467
    @hoangvietphu84676 жыл бұрын

    i love this video! thank for your passionate

  • @AlessandroZir
    @AlessandroZir Жыл бұрын

    we just loved Heather!! ❤️🤸🐬🙌

  • @TonyTorzido
    @TonyTorzido6 жыл бұрын

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

  • @jaineilsart1528
    @jaineilsart152811 ай бұрын

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

  • @MiltosPol-qn3zh
    @MiltosPol-qn3zh6 жыл бұрын

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

  • @joeysacademymathematics6853
    @joeysacademymathematics6853 Жыл бұрын

    You're the best teacher ever 🥰

  • @Kammerliteratur
    @Kammerliteratur2 жыл бұрын

    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.

  • @meenakshi6452
    @meenakshi64526 жыл бұрын

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

  • @neonknowledgehub9172
    @neonknowledgehub91723 жыл бұрын

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

  • @theo-toussaint-algebra-mat8478
    @theo-toussaint-algebra-mat84782 жыл бұрын

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

  • @mayurwahane
    @mayurwahane Жыл бұрын

    Finished this playlist

  • @aaronbanks3673
    @aaronbanks36736 жыл бұрын

    Awesome video Dave!

  • @user-vq3lk
    @user-vq3lk Жыл бұрын

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

  • @Levinsam
    @Levinsam3 жыл бұрын

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

  • @Kammerliteratur

    @Kammerliteratur

    2 жыл бұрын

    that'd be great!

  • @errebusaether

    @errebusaether

    Жыл бұрын

    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.

  • @florentinosanchez3969
    @florentinosanchez39694 ай бұрын

    Very nice video

  • @lemao9995
    @lemao99954 жыл бұрын

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

  • @Mathehoch13
    @Mathehoch136 жыл бұрын

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

  • @adhiyanthaprabhujeyashanka2091

    @adhiyanthaprabhujeyashanka2091

    3 жыл бұрын

    He is a Canadian I think

  • @user-vq3lk

    @user-vq3lk

    Жыл бұрын

    ​@@adhiyanthaprabhujeyashanka2091who

  • @bomaathuis7277
    @bomaathuis72772 жыл бұрын

    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.

  • @AndewMole
    @AndewMole5 жыл бұрын

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

  • @okaynice3023

    @okaynice3023

    2 жыл бұрын

    Ukraine

  • @Ando4611
    @Ando46112 жыл бұрын

    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

    @ProfessorDaveExplains

    2 жыл бұрын

    Check my modern physics tutorial on the quantum harmonic oscillator!

  • @slickyy21

    @slickyy21

    Жыл бұрын

    These big names!

  • @user-wo5dk3qn7c
    @user-wo5dk3qn7c5 ай бұрын

    Can someone suggest more educators like him?

  • @whitefeather8387
    @whitefeather838710 ай бұрын

    Am making out of casino with this one

  • @estudiosyprogramacion6015
    @estudiosyprogramacion60152 жыл бұрын

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

  • @NovaWarrior77
    @NovaWarrior772 жыл бұрын

    My man.

  • @Nishantmakadiya
    @Nishantmakadiya28 күн бұрын

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

  • @virtual5511
    @virtual5511 Жыл бұрын

    Sir solve kvpy

  • @Sccoropio
    @Sccoropio Жыл бұрын

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

  • @ProfessorDaveExplains

    @ProfessorDaveExplains

    Жыл бұрын

    There are no slides, I make videos.

  • @omidwalid3046
    @omidwalid30464 жыл бұрын

    Hi Before studying algebra 2 should we study geometry or no

  • @matemaatika-math

    @matemaatika-math

    4 жыл бұрын

    They can be studied independently until they can't.

  • @bmzaron713
    @bmzaron7132 жыл бұрын

    This is so confusing but makes sense probably

  • @slickyy21
    @slickyy21 Жыл бұрын

    I didn't understood a jack.

  • @syub2407
    @syub24075 жыл бұрын

    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

    @matemaatika-math

    4 жыл бұрын

    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.

  • @topiado2073
    @topiado20733 жыл бұрын

    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

    @ProfessorDaveExplains

    3 жыл бұрын

    i think at this point in the playlist algebra is over

  • @topiado2073

    @topiado2073

    3 жыл бұрын

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

  • @topiado2073

    @topiado2073

    3 жыл бұрын

    Would it be possible sir ji

  • @ProfessorDaveExplains

    @ProfessorDaveExplains

    3 жыл бұрын

    yes that's later in this playlist

  • @ryanzeng890
    @ryanzeng8903 жыл бұрын

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

  • @slickyy21

    @slickyy21

    Жыл бұрын

    He meant marbles probably

  • @dvrmurthy506
    @dvrmurthy5066 жыл бұрын

    can u make a video on integration

  • @ProfessorDaveExplains

    @ProfessorDaveExplains

    6 жыл бұрын

    Don't worry, calculus starts on Monday!

  • @dvrmurthy506

    @dvrmurthy506

    6 жыл бұрын

    thanq

  • @187vikassingh5
    @187vikassingh53 ай бұрын

    😊wow

  • @retailninja
    @retailninja4 жыл бұрын

    professor Dave, do you ever play poker?

  • @ProfessorDaveExplains

    @ProfessorDaveExplains

    4 жыл бұрын

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

  • @PPppp-te5qs
    @PPppp-te5qs11 ай бұрын

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

  • @lovelynarhe
    @lovelynarhe2 жыл бұрын

    I did not understand.

  • @aliyazdan6282
    @aliyazdan62826 жыл бұрын

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