Bayes' Theorem | TRICK that NEVER fails | Solved Examples

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  • Опубліковано 2 лют 2025
  • This video gives a very intuitive understanding of Bayes' Theorem. The purpose of this video is to enable you to independently solve Bayes' Theorem related problems. No matter how difficult the problem is, if you follow this video, you will be able to solve it in a matter of seconds.
    We have purposefully taken multiple examples of varying complexity, so that you don't need any other reference beyond this video in order to crack Bayes' Theorem related problems in your Quizzes/Exams.
    Happy Learning!

КОМЕНТАРІ • 93

  • @INDRA111947
    @INDRA111947 2 місяці тому +8

    I hope our respected school teachers look at this video and understand how to teach a complex topic so easily. Thank you for this video!!

  • @goodmusic284
    @goodmusic284 Рік тому +11

    By far, the best explanation of Bayes Theorem. Thank you, sir.

  • @HumphreyVV
    @HumphreyVV 11 місяців тому +15

    Mr Six Sigma.. Thank You.
    I am a male person, 81 yrs, and living in Holland.
    Your guidance in Bayes Theorem was astonishing clear and helpful.
    Hats off for your channel and expertise !!!
    Have a nice day

    • @prosmartanalytics
      @prosmartanalytics  11 місяців тому +1

      Glad you liked our content. You too have a blessed day.

    • @sarcasticboy4507
      @sarcasticboy4507 5 місяців тому +2

      what are you doing with baye's theorem in 80s? isn't time to rest and see the life?💞geniunely interested what do you do

    • @99Story-time
      @99Story-time 4 місяці тому

      Why do you want Bayes theorem in your 80s?

    • @HumphreyVV
      @HumphreyVV 3 місяці тому

      ​@@sarcasticboy4507 Good afternoon..
      I Rest..when I finish my Golfgame (Play HC 4)..or after My Tennis-game with the buddies..and then enjoy the "talks" afterwards.
      These buddies are still very challenging.
      so with Bayes I remain "sharp" sometimes.
      Enjoy your life..!

  • @Itsamindsetg
    @Itsamindsetg 11 місяців тому +9

    great video, explained 10x better than my lecturer

  • @joshuacowels5344
    @joshuacowels5344 3 місяці тому +2

    This video was amazing, I used this on my exam yesterday and crushed it. I know this theorem inside out and backwards now ! Thank you so much

  • @pradeepkumar4585
    @pradeepkumar4585 11 місяців тому +3

    Very well explained, I was going mad trying to understand this, finally I get it clear in my head after watching this video. Thank you Six Sigma and ofcourse UA-cam platform

  • @aswinimechiri3157
    @aswinimechiri3157 10 місяців тому +2

    awesome.as you said no other reference is required.please keep up your great content.

  • @eliasjesse9001
    @eliasjesse9001 2 місяці тому

    I cant even express how grateful I am right now, thank you so muchhh

  • @chintharakesh
    @chintharakesh Рік тому +3

    great explanation. Like u mentioned in the video, u covered the topic 100% and people do not need any other resource.

  • @sarcasticboy4507
    @sarcasticboy4507 5 місяців тому

    you said no need to watch any other video and you were right !! 🔥🔥🔥🔥🔥🔥A gem video for baye's theorem

  • @ths3100
    @ths3100 5 місяців тому +1

    Thank you Sir. You are an awesome teacher. Wish I had such an excellent teacher like you during my school days. 👍❤️

  • @saitrinathdubba
    @saitrinathdubba 3 місяці тому

    Excellent !! the best one on Bayes theorem I have watched/read so far . Thank you :)

  • @radhakrishnanidamarthy4576
    @radhakrishnanidamarthy4576 7 місяців тому +1

    Bayes Theorem explained in a superb way. Thank you very much sir

  • @Strikerfm1
    @Strikerfm1 7 місяців тому

    I have taken 3 stats classes and never really understood this till I watched the video. Thank you so much.

  • @sbotros
    @sbotros 3 місяці тому

    Thank you. I've been struggling to understand the root of Bayes' theory. It's very clear to me now

  • @vanshikalochan7567
    @vanshikalochan7567 3 місяці тому

    Thankyou sir!
    I was really confused in this concept...But now it is crystal clear

  • @HEADSPACE820
    @HEADSPACE820 7 місяців тому +1

    Honestly struggled with this for so long 😭thank you so much for helping

  • @charlesjonesjr1262
    @charlesjonesjr1262 11 місяців тому

    By far the best explanation I have heard.

  • @yashwantraipure5863
    @yashwantraipure5863 Місяць тому

    best explanation i ve come across thank you

  • @BHAGI-b5b
    @BHAGI-b5b 4 місяці тому +1

    The best video for bayes theorem

  • @swetaghosh5303
    @swetaghosh5303 7 днів тому

    After leaving an era of student life, the concept of Bayes theorem finally became clear. Thank you so much🫶

  • @Kavinc33
    @Kavinc33 Місяць тому

    Thank you sir first time solved with knowing it ❤❤❤❤❤❤

  • @JyotsnaEkbote
    @JyotsnaEkbote Місяць тому

    Thank you, I am very grateful for this video

  • @ahmedtanmoy5588
    @ahmedtanmoy5588 3 місяці тому

    amazing video. very easy to understand. Thank you so much.

  • @amosmathstuition
    @amosmathstuition 7 місяців тому

    Thank you so much Sir
    Honestly I don't need any other explanation howsoever about Baye's Theorem ❤

  • @LathaLatha-si6ti
    @LathaLatha-si6ti 4 місяці тому +3

    Trick is verymuch useful. Can we apply the trick, for all the problems? For example, 2 bags, coloured balls problems, how can we apply the trick?

    • @prosmartanalytics
      @prosmartanalytics  4 місяці тому +1

      Hint: Think of bags as priors such as A and B, and the color of the ball as the event happening once the bag is chosen like Pass/Fail.

    • @LathaLatha-bo3kl
      @LathaLatha-bo3kl 4 місяці тому +1

      Thank you for your immediate response. Let me be more specific with my question.
      QN:: A bag contains 4 red and 4 black balls, another bag contains 2 red and 6 black balls. One of the two bags is selected at random and a ball is drawn from the bag which is found to be red. Find the probability that the ball is drawn from the first bag.
      How this trick can be applied to solve this problem?

    • @prosmartanalytics
      @prosmartanalytics  4 місяці тому +2

      @@LathaLatha-bo3kl 0.5*(4/8) red ball from first bag where 0.5 is prior and 4/8 is the event of choosing a red ball given it is bag1. Likewise, for the second bag 0.5*(2/8). Question is p(First bag|Red) which is 0.5*(4/8)/[0.5*(4/8) + 0.5*(2/8)].
      In the table we can replace 0.5 with any value say 'n' but if bags have equal chance of being selected then this value will be one and the same for both the bags. Once the bag is chosen, we look for occurrence of a specific event of interest, you can calculate that number by multiplying n with 4/8 for bag1 and multiplying n with 2/8 for the second bag. Now, add these two and you find the total number of red balls. The question is asking the prob of Bag1 given the ball is Red so n*(4/8)/[n*(4/8) +n*(2/8)].
      If the chances were unequal say 70% chance of choosing bag1 and 30% chance of choosing bag2, you would have done 7n*(4/8)/[7n*(4/8) +3n*(2/8)]

    • @LathaLatha-bo3kl
      @LathaLatha-bo3kl 4 місяці тому

      Thank you so much

  • @EfirDop
    @EfirDop 7 місяців тому

    Hello sir i'm from ethiopia thank's alot for your explanation!!

  • @bobby9423
    @bobby9423 7 місяців тому

    Excellent video on the topic!!!!

  • @swahifaabdijuma2782
    @swahifaabdijuma2782 Рік тому +1

    Thank you ..................🤩😍Simple and clear

  • @avinpereira8495
    @avinpereira8495 9 місяців тому

    Thx for your explanations it was quite clear about both the topics conditional and bayes, however I am confused where I can apply the bases theorem and I should use the conditional probability

    • @prosmartanalytics
      @prosmartanalytics  9 місяців тому

      Bayes' Theorem is an extension of the conditional probability concept. You may need more practice, it would help.👍

  • @rahatsshowcase8614
    @rahatsshowcase8614 11 місяців тому

    subscribed! very good explanation!

  • @simonkibera4722
    @simonkibera4722 7 місяців тому

    Clearly explained, Thank you

  • @fariarehman2734
    @fariarehman2734 5 місяців тому

    thoroughly explained !!

  • @UmamaheswariMG
    @UmamaheswariMG 10 місяців тому

    Excellent explanation

  • @boringcook
    @boringcook 11 місяців тому

    Hi, I wonder if in the 3rd problem, False Negative is not mentioned, so in our calculations, we dont have to care about False Negative right?

    • @prosmartanalytics
      @prosmartanalytics  11 місяців тому +2

      Right, we need to formulate as per the specific problem statement.

  • @dj1unique
    @dj1unique 3 місяці тому

    thank you for this sharing

  • @sairamteja6785
    @sairamteja6785 8 місяців тому

    thanks man so for the best explanation i have seen

  • @SURBHIDALMIA-r9u
    @SURBHIDALMIA-r9u 6 місяців тому

    Thankks, great content

  • @srinathguruprasath8782
    @srinathguruprasath8782 3 місяці тому

    thank you mr six sigma tommorow is my exam iam going to pass becuase of you

  • @sanojdhananjaya2973
    @sanojdhananjaya2973 Рік тому

    thanx for explanation it's very helpful ❤❤😊😊

  • @satyajeet1777
    @satyajeet1777 7 місяців тому

    Great explanation

  • @varadparab6989
    @varadparab6989 Рік тому +1

    Thank you so much sir

  • @AbhishekKumar-ji8tn
    @AbhishekKumar-ji8tn Рік тому +1

    In problem 2nd,you put the value of 5% into decimal
    0.5 but it will be 0.05 of 5%

    • @prosmartanalytics
      @prosmartanalytics  Рік тому

      Really! Thank you for watching our content so diligently. Feedback always helps.

  • @adunkolade6519
    @adunkolade6519 Рік тому

    This was so helpful thankss

  • @ihlasvp9388
    @ihlasvp9388 11 місяців тому +1

    Useful❤

  • @CollegeDropout-fj9bi
    @CollegeDropout-fj9bi 2 місяці тому

    God bless you dawg

  • @AbbyKan-bl1tm
    @AbbyKan-bl1tm 10 місяців тому

    Excellent 🎉🎉❤

  • @JakirHusain-qn5vv
    @JakirHusain-qn5vv 2 місяці тому

    Best one ...

  • @krisbis
    @krisbis Рік тому

    Excellent!

  • @Farejoy99
    @Farejoy99 6 місяців тому

    this is awesome

  • @foysal_BD_CSE
    @foysal_BD_CSE 9 місяців тому

    To calculate the shortcut form, problem-1: how take you total products is 700?
    And also in problem-2: how take you total vehicles is 1000?
    If I take a random value, I can't get the exact answer.

    • @prosmartanalytics
      @prosmartanalytics  9 місяців тому +1

      Give it more time to understand it from the beginning. Try to do it yourself. You'll always get the same answer (as in probability) because the assumed values of totals no matter what you take will get cancelled while calculating the probability as it participates both in numerator and denominator.

  • @angesaguiah4740
    @angesaguiah4740 7 місяців тому

    You fulfilled your promise

  • @lg2058
    @lg2058 Рік тому

    Slick and useful.

  • @collinsunny7310
    @collinsunny7310 4 місяці тому

    Thankyou

  • @DdddG-ls7db
    @DdddG-ls7db 9 днів тому

    🙌🏻🙌🏻🙌🏻🙌🏻🙌🏻🙌🏻🙌🏻🙌🏻

  • @ahsayadshabana3621
    @ahsayadshabana3621 Місяць тому

    🤒

  • @finmatrixparadigm7904
    @finmatrixparadigm7904 9 місяців тому

    U re so good in accents of
    Speaking English for Indian to enjoy
    Pls share contact no

  • @clk1977
    @clk1977 5 місяців тому

    Excellent!