Intro to Bayes’s Theorem | Probability Theory

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  • Опубліковано 10 січ 2025

КОМЕНТАРІ • 78

  • @_Ayush_S
    @_Ayush_S Рік тому +8

    No-nonsense, completely on-point, and no focus on showing his own video and wasting time with useless information. Thanks a lot for explaining this concept so effectively.

  • @dineshidias8927
    @dineshidias8927 7 днів тому

    Not everybody who has the knowledge can impart it to others so well. You're a great teacher and thank you for explaining complicated stuff very simply.

  • @weily-why-lee
    @weily-why-lee 3 роки тому +8

    Never change wrath of math, lots of math channels assume too many premises but you stand out cause you mention all the necessary knowledge and steps to get to the conclusion. Never change!

    • @WrathofMath
      @WrathofMath  3 роки тому +2

      Thanks so much, Chisala! I'm going to keep doing my best!

  • @ludwig7223
    @ludwig7223 2 роки тому +6

    Thank you for the incredibly clear explanations! You accomplish the same as a professor in a third of the time, and with much less confusion

  • @stephaniemorris1706
    @stephaniemorris1706 3 роки тому +5

    I just jumped over here from the law of totally probability video. Taking Stats 315 this semester and you are such a life saver. Thank you so much!!!

    • @WrathofMath
      @WrathofMath  3 роки тому +1

      My pleasure, thanks so much for watching and let me know if you ever have any video requests!

  • @Matthew-cl8qi
    @Matthew-cl8qi 3 роки тому +5

    Very clear explanation of Bayes Theorem. Thank you from a future data scientist.

  • @shark-p4o
    @shark-p4o Рік тому +3

    by far the best video on Baye's theorem

  • @navster100
    @navster100 4 роки тому +24

    why does this extremely useful video only have 300 views

    • @WrathofMath
      @WrathofMath  4 роки тому +4

      Thanks for watching and I am glad you found it extremely useful! I have the same question haha, most of my prob videos do better than that! But there are a lot of videos on Bayes's theorem, so it will take some time for this one to move up in the search rankings. You can help it out by sharing it if you know anyone who would find it useful!

    • @ehteshamhassan3861
      @ehteshamhassan3861 Рік тому +1

      Now its 29k😎

    • @navster100
      @navster100 Рік тому

      @@ehteshamhassan3861 sheesh

    • @topcubasov8942
      @topcubasov8942 9 місяців тому +1

      @@ehteshamhassan3861 No 50k😎

  • @valentine7512
    @valentine7512 7 місяців тому

    straight to the point, Clear & concise

  • @FaiGal
    @FaiGal Місяць тому

    Why am I even paying to take a class? This makes more sense than whatever my professor was lecturing

  • @cabbage5114
    @cabbage5114 Рік тому

    This man is doing god's work

  • @sparrowp2251
    @sparrowp2251 8 місяців тому

    you are a life saviour and so precise witht he concept.Love It
    Thank You!!

  • @oliviau.1734
    @oliviau.1734 2 роки тому

    This has helped me so much you have no idea. Thank you from the bottom of my heart. ❤

    • @WrathofMath
      @WrathofMath  2 роки тому

      Glad to help, thanks for watching!

  • @ajayibasitadeola3352
    @ajayibasitadeola3352 Рік тому

    The best explanation so far! THANK YOU!!

  • @lanomusambazi8654
    @lanomusambazi8654 2 роки тому

    Thank you so much sir for this useful and helpful video. I have understood the language used in Bayes theorem.

  • @jim2376
    @jim2376 Рік тому +1

    What you're looking for goes in the numerator and the denominator. The only tricky bit is what is added to the denominator. That would be what you aren't looking for but has the same condition as what you are looking for.
    Example: looking for the probability of a true positive medical test.
    (true positive test)/( (true positive test) + (false positive test) )

  • @faezehnejati833
    @faezehnejati833 7 місяців тому

    Hey @Wrath of Math :) I deeply enjoyed watching your video(s) on Bayes's Theorem and some other probability videos that you have created. They are beyond awesome! very intuitively explained. Could you maybe produce such good ones on 'Statistics' topics? I miss a full playlist on 'Probability' & 'Statistics' topics in your channel as well. Keep it Up!

  • @adwoamayyy388
    @adwoamayyy388 Рік тому +1

    Oh I’m getting it🎉😢❤. I’d need to solve more examples

  • @marianodangelo5908
    @marianodangelo5908 3 роки тому +1

    Really well explained! Helped me a lot. Could you please make a video on discrete distributions?

  • @maheebasyed5983
    @maheebasyed5983 3 роки тому +1

    Amazing explanation ❤

  • @JLaP
    @JLaP 3 місяці тому

    Absolutely first class for all the other favorable comments

  • @rahulshah6119
    @rahulshah6119 4 роки тому +2

    8:02 isn't the negation symbol ¬? Another great video though!

    • @WrathofMath
      @WrathofMath  4 роки тому

      Haha, it sure is! Thanks for pointing that out, clearly I was more out of practice than I thought when it comes to probability/logic notation!

    • @rahulshah6119
      @rahulshah6119 4 роки тому

      @@WrathofMath Well if you want more practice, a video or two on markov chains and/or stable matchings/stable marriage wouldn't hurt ;)

  • @harmandeeppal
    @harmandeeppal 3 роки тому +1

    I recently started watching your videos, they are well explained. Could you please make videos on Portfolio Standard Deviation, Portfolio Variance, Portfolio Covariance and Portfolio Correlation? Thank you.

    • @WrathofMath
      @WrathofMath  3 роки тому +1

      Thanks a lot! I'd love to make videos on those topics, but I can't say it'll be anytime soon. I'll be very busy this fall and winter, so I'm going to mostly stick to topics I've already begun teaching on this channel. But it will be fun to get to some more financial math, and corporate finance eventually!

    • @harmandeeppal
      @harmandeeppal 3 роки тому

      @@WrathofMath That's all right, I can wait. I appreciate the effort you put into making those helpful videos. Thank you for your reply.

  • @asishcodes
    @asishcodes Рік тому

    Can you please explain how you came up with the denominator

  • @freduaagyeman2805
    @freduaagyeman2805 2 роки тому

    Great video 👍

  • @shaistariaz9783
    @shaistariaz9783 4 роки тому

    Waiting always your videos bro💓💓

    • @WrathofMath
      @WrathofMath  4 роки тому

      Thanks so much for the support! Let me know if you ever have any requests!

  • @GnarlyGooch
    @GnarlyGooch 2 роки тому

    Cheers mate, good clear video 👍

  • @ionguzun3952
    @ionguzun3952 2 роки тому +1

    Can you please do more videos about Bayes’s Theorem, more examples

    • @WrathofMath
      @WrathofMath  2 роки тому

      I'll see what I can do, thanks for watching and the request!

  • @felipevillanueva4683
    @felipevillanueva4683 2 місяці тому

    Hey wrath of math, I was wondering if you could do videos on Algebra 2 and more on geometry. my little sister would greatly appreciate your support! shes currently taking Aglebra 2 then geometry next year! your videos are AMAZING. thank you in advance

  • @patrikomelka3918
    @patrikomelka3918 11 місяців тому

    ngnl but 32% is still a pretty high chance :D , great viedo really appreciate your help with going through college

  • @ivancarlson953
    @ivancarlson953 6 місяців тому

    - H’ is 2.08x more likely to E than H.
    - H’ is 1940.40x more likely to E’ than H.
    - E is 629.46x more likely to H than E’.
    - E’ is 1.48x more likely to H’ than E.
    - E given H is 47.50x more likely than E given H’.
    - E’ given H’ is 19.60x more likely than E’ given H.

  • @georginamoi-dg2sp
    @georginamoi-dg2sp Рік тому

    What if the probability of A and B are not given but we're only given the product probability of both A and B?
    For instance, if the probability of playing soccer and rugby is 0.32 what is the probability of playing soccer?

  • @random1-c4y
    @random1-c4y 10 місяців тому

    This is amazing

  • @themastmasmashaya7870
    @themastmasmashaya7870 7 місяців тому

    CAN YOU DO THIS FOR ME (A patient visits a doctor suspecting that he may have lung cancer after suffering short of breath. The doctor knows besides lung cancer the patient might be suffering from tuberculosis. He also notes that smoking and exposure to pollution are key causes of both diseases but taking an x-ray would indicate that the patient has cancer or tuberculosis. Given that the patient P(patient is a smoker)=0.3 and P(patient was exposed to low pollution)= 0.9,. Using the Bayesian networks following all steps determine the accuracy of the output from the x-ray results )

  • @mike_the_tutor1166
    @mike_the_tutor1166 4 роки тому +1

    It's spelled Bayes's theorem, according to the AP and Chicago style guides.
    EDIT: I was right about Chicago but wrong about AP.

    • @WrathofMath
      @WrathofMath  4 роки тому +1

      Thank you very much for pointing out that error. I’m gonna hide my face in shame for the next few weeks. I can only hope to be forgiven for still having the error at the beginning of the video! I left the error in the description just once for the sake of other people who make the same error in searching it, though UA-cam probably knows exactly what such folks are looking for by now! It has been fixed in the thumbnail and title, thanks again!

    • @mike_the_tutor1166
      @mike_the_tutor1166 4 роки тому

      @@WrathofMath Haha, UA-cam probably knows what I'm going to type before I type it. Conspiracy theories aside, if you value visibility over correctness, then I suggest spelling it Bayes' theorem. In my experience, that's the most common spelling, so I would speculate that's what most people would search for. Just speculation though, it may be that "bayes theorem" is the most common search.

    • @WrathofMath
      @WrathofMath  4 роки тому +1

      Their search engine and website is pretty darn good at learning! You really notice when it’s completely wrong, but it usually isn’t haha! I like Bayes’s, because as far as I am aware putting an apostrophe by itself at the end of a word to make it possessive is only done for plurals. I’m no English expert, but I’m pretty sure them’s the rules! Admittedly, “Bayes’s” looks pretty ugly, and I am surprised to see that seemingly nobody else spells it that way. Perhaps I’ll change it in a few months and see if it has any effect.

    • @mike_the_tutor1166
      @mike_the_tutor1166 4 роки тому

      @@WrathofMath Oops! I was wrong about the AP style guide! I just looked it up, and it says to add just an apostrophe for proper nouns ending in s. So if you follow AP then it's Bayes' and if you follow Chicago it's Bayes's. For Chicago, you are correct that singular proper nouns are given 's while plural are given just '. I've been confused about this for a while! Now I must also hide in shame!

    • @CrannBethadh
      @CrannBethadh 4 роки тому +1

      @@mike_the_tutor1166 It is AP that should hide in shame. You have to have something distinct from something belonging to multiple people named Baye. If Johnny and Suzie Baye had created the theorem, then it would be Bayes' theorem, but it was just one dude named Bayes.

  • @lanomusambazi8654
    @lanomusambazi8654 2 роки тому

    If you have any videos on random variables please help me. I want to understand it too.

  • @jimtwisted1984
    @jimtwisted1984 Рік тому

    Shouldnt the probability of having the disease and not having the disease equal 1? Your sum is .97 so where did the the .-03 go?

  • @alexharper-291hzu
    @alexharper-291hzu Рік тому

    Video was great but there is an error with subtitles, maybe you wanna check again, I informed you... Have a nice day :))

  • @albertogubernati6677
    @albertogubernati6677 Рік тому

    Can you make a lesson on weibull distribution with maximum likelihood model? Anyway my sincere compliments for your great and useful videos!

  • @angelaihechu5533
    @angelaihechu5533 2 роки тому

    Thank you so much

  • @pesofficiall102
    @pesofficiall102 Рік тому +1

    the probability of me understanding is 0

  • @mevvislenin2784
    @mevvislenin2784 2 роки тому

    Best!

  • @FATIMAJWALI
    @FATIMAJWALI 7 місяців тому

    أرجو أن تضيف اللغة العربية ف خيارات الترجمة

  • @MrWoaaaaah
    @MrWoaaaaah 9 місяців тому

    I'm still struggling... please can somehow help me with this example:
    1. If someone is white and male, I can detect lies 80% of the time.
    2. The chances of someone being white where I live is 81.7%.
    3. The chances of someone being male where I live is 49%.
    What is the probability of me detecting a lie in these conditions? Please can you include it into the formula to help me apply it?

    • @nyx211
      @nyx211 8 місяців тому

      There's not enough information in that example to determine P(L). You'd also need to know P(L | not (W, M)).

  • @rightmangolck
    @rightmangolck Рік тому

    Just wow

  • @15thillizon
    @15thillizon 4 місяці тому

    B kool

  • @asharb5089
    @asharb5089 2 роки тому

    Graph vedios

    • @WrathofMath
      @WrathofMath  2 роки тому

      Thanks for watching! Do you want graph theory videos? I have a playlist of over 150 of them!