Intro to Conditional Probability

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  • čas přidán 2. 08. 2024
  • What is the probability of an event A given that event B has occurred? We call this conditional probability, and it is governed by the formula that P(A|B) which reads "probability of A given B" is equal to the P(A intersect B)/P(B). We look at an example involving the probability of being an alcoholic given that one is a man.
    Conditional Probability Formula: P(A|B) = P(A and B)/P(B)
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Komentáře • 694

  • @DrTrefor
    @DrTrefor  Před 3 lety +77

    More Conditional Probability Examples:
    Vid 1: czcams.com/video/OYT0AcuLXu8/video.html&ab_channel=Dr.TreforBazett
    Vid 2: czcams.com/video/nz-ADHZrYxk/video.html&ab_channel=Dr.TreforBazett

    • @superslimey7780
      @superslimey7780 Před 3 lety +1

      nice

    • @ParadymShiftVegan
      @ParadymShiftVegan Před 3 lety +1

      3:58 LGBTQ+ just got triggered 😅

    • @metro.mayor_
      @metro.mayor_ Před 3 lety

      Both qualify for where's my Subway sandwich to in ⁰0⁰⁰000⁰00p ppppp0pppppp0ppppppppppp 0⁰⁰0⁰0⁰pp⁰ppppppp ppppp0pppppp0ppppppppppp p⁰00p⁰00⁰⁰⁰⁰0⁰⁰⁰⁰⁰pppppppp ppppp0pppppp0ppppppppppp ⁰⁰00000⁰⁰0⁰⁰⁰000⁰⁰⁰000⁰⁰009990 00

    • @phellisbonah8012
      @phellisbonah8012 Před 2 lety

      Ok

    • @ramyhuber8392
      @ramyhuber8392 Před 2 lety

      Wow what a fun video! Reminds me of "if then" statements applied to likelihood of real life situations occurring.

  • @arcadian3090
    @arcadian3090 Před 3 lety +1422

    I entered wanting to learn math, and I exited with knowing I have a good probable chance of being an alcoholic.

  • @jesusaranda3726
    @jesusaranda3726 Před 5 lety +1130

    Took me nine minutes to understand what I couldn't get in a fifty-minute lecture. Thank you.

    • @alejandratrujillo1312
      @alejandratrujillo1312 Před 5 lety +2

      Same here! You saved my life!

    • @Tintin-dm4ym
      @Tintin-dm4ym Před 5 lety +22

      Jesus Aranda it’s a 6 min video XD

    • @adityashinde1079
      @adityashinde1079 Před 4 lety +14

      @@Tintin-dm4ym his maths is weak 😂

    • @alisheikh3585
      @alisheikh3585 Před 4 lety +8

      @@adityashinde1079 lol, he probably spent a little more time on a particular concept!

    • @gytisdramblewolfskis8521
      @gytisdramblewolfskis8521 Před 4 lety +10

      This concept is so simple as well as complicated if explained badly. The visual representation means so much

  • @ramtinshahali9944
    @ramtinshahali9944 Před 2 lety +78

    Took my professor 2hr to explain this topic and NO ONE could not understand a word of what he said while it took you like 5min to teach this and now I can solve all the problems he gave us. You're a lifesaver so thank you. Universities should understand having a PHD in math does not make you a good professor, being able to teach is completely different from having the knowledge. But you Dr.Trefor, have both the knowledge and you know how to teach math.

    • @alang.2054
      @alang.2054 Před 6 měsíci +1

      Maybe you was just familiar with the topic thanks to your professor and video just served as a resource to ground your understanding?

    • @acanadianfry2539
      @acanadianfry2539 Před 3 měsíci +1

      @@alang.2054 nah, most profs arent teachers w/experience. a bunch of it is just funding for researchers. Theyre just given a syllabus.

    • @TheRedCubeYT
      @TheRedCubeYT Před 3 měsíci

      Ur learning secondary school level maths at uni??

  • @reasetilo
    @reasetilo Před 2 lety +10

    time to save the semester ...

  • @simplematters4893
    @simplematters4893 Před 4 lety +327

    Who’s here during covid19 online learning

    • @Abdussalam-ml3so
      @Abdussalam-ml3so Před 4 lety +4

      @@DrTrefor lol

    • @143woww
      @143woww Před 4 lety +13

      I am doing statistic online and it is driving me nuts 😂

    • @________4423
      @________4423 Před 4 lety +2

      @@DrTrefor The probability of that occurring is beyond certain.

    • @adeliadrawstuff
      @adeliadrawstuff Před 4 lety +2

      ayan aden this topic is the most stressful one for me and it’s my second time taking the class 😣

    • @DrTrefor
      @DrTrefor  Před 3 lety +19

      Good luck everyone with your online courses:)

  • @rileyregan2900
    @rileyregan2900 Před 3 lety +144

    You explained this WAAYYYYY better than my professor and khan academy COMBINED. Not sure why they made it sound so damn complicated

    • @louiselin3928
      @louiselin3928 Před 3 lety +4

      Yeah, it is the only video (I saw) that gives the meaning behind the formula. And this is exactly what I want.

    • @suyashpal803
      @suyashpal803 Před 2 lety +2

      People understand words better than formula but at the end of the day a formula is what you need to solve maths and no.
      Please note : I came here looking for formula..I guess I should check khan academy..lol

    • @emperor8716
      @emperor8716 Před 7 měsíci

      @@suyashpal803 the formula is literally right there at 1:15. he even shows an example of it.

  • @spicyboi1825
    @spicyboi1825 Před 3 lety +35

    As someone who is hard of hearing, I really appreciate the effort put into the subtitles, thank you.

  • @felixhall6429
    @felixhall6429 Před 5 lety +311

    Thank you!! I now feel ready for my exam tomorrow 😅 (anyone else in the same boat?)

  • @redwillowofdreams8931
    @redwillowofdreams8931 Před 6 lety +577

    Stop reading the comments and get on with your homework.

  • @rubiprieto6205
    @rubiprieto6205 Před 5 lety

    You're a lifesaver💓Finals are coming up and this topic was giving me a hard time. Thank you! I'm definitely subscribing to your channel!

  • @thegrinch2613
    @thegrinch2613 Před 4 lety +37

    I have a test tomorrow and I could never do conditional probability, but now you've made it seem so easy, so thank you!

    • @paulolelewe2330
      @paulolelewe2330 Před rokem

      Teachers at Cerritos College teach similar topics but some of them possibly have their bachelor's degree. Most of them are probably from Long beach or any city using the beaches/towns and cheaper places to live.

    • @Nigerian_KO
      @Nigerian_KO Před 8 měsíci

      Same here 😢

  • @jiovek
    @jiovek Před 3 lety +22

    this man really summed up what an hour's math lesson couldn't in less than 10 mins
    legend

  • @abdulstarkousa782
    @abdulstarkousa782 Před 4 lety

    I don't know how could people dislike your video it is harder to get than a whole discrete Math given by such a very good teacher like you, Good luck and keep awsome!

  • @ExpertBustice
    @ExpertBustice Před 2 lety +1

    This video was released on my birthday 4 years ago, and it has inadvertently been quite the present only now. Thanks for the aha moment, Dr. Bazett.

  • @limjenny7815
    @limjenny7815 Před 3 lety +2

    Thank you very much, your proof have solved my question that haunted me for a year! Keep up the good work! Thanks a lot.

  • @MrArtbyart
    @MrArtbyart Před 2 lety +1

    The best description that I have found. The venn diagrams are most helpful. Thanks

  • @nimeshibandara6090
    @nimeshibandara6090 Před 5 lety +3

    Been doing an assignment for maths the topic being chance, it asked to explain conditional probability, this is so clear and so easy to understand! I'm actually pleased with myself for understanding something so quickly!

  • @L2.Lagrange
    @L2.Lagrange Před rokem +5

    Really awesome video. Currently taking stats for electrical engineering and I really liked this conditional probability description

  • @tinadong7791
    @tinadong7791 Před 4 lety

    BEST MATH CHANNEL!!! Thank you for making conditional probability so easy to understand.

  • @OmarAlMatar
    @OmarAlMatar Před 4 lety

    I have watched crash course and my prof's lectures 5 times by now and only now do I get this formula, THANK YOU

  • @lafilleindigo
    @lafilleindigo Před 4 lety

    I'm taking a statistics course and this just helped me understand the concept so much better. Thank you so much!

  • @MrLiamcfc
    @MrLiamcfc Před 5 lety +47

    Jack Whitehall you are a lifesaver bro

  • @aldotovar9231
    @aldotovar9231 Před 4 lety +1

    beautiful! It's been 3 years since I first saw conditional probability and now this is the first time I actually get it

  • @souraple101
    @souraple101 Před 5 lety +1

    So glad I found your video. This concept actually makes sense finally. Thank you! :)

  • @isnze
    @isnze Před 6 lety

    ty so much! saved my life! this is the best explanation i have seen so far

  • @jaspermartin7444
    @jaspermartin7444 Před 5 lety +18

    whoa, you explain this better AND in a shorter amount of time, then the MIT guy. more videos please!

    • @SciHeartJourney
      @SciHeartJourney Před 3 lety

      The MIT guy is too busy trying to impress you with his brilliance. He treats us like he doesn't have time to school you. 🙄

  • @sarathkumarkm5638
    @sarathkumarkm5638 Před 2 lety +1

    Sir i searched that how conditional probability formula came. No one explained. U explained it in so simple and in beautiful way. Thank you sir

  • @interfaze9930
    @interfaze9930 Před 2 lety +3

    I'm studying general engineering and I did not have a lot of statistics in my curriculum. The bit that I had I have already forgotten again. Now I need a LOT of statistics for my master thesis. You are saving me so much time! Much appreciated!

  • @dflash1019
    @dflash1019 Před 4 lety

    this is amazing you answer all the questions and made everything clear best ever i'm definitely watching the next video for more examples that's liked and subscribed.

  • @justinlu9399
    @justinlu9399 Před 6 lety +34

    THANK YOU SOMEONE FINALLY EXPLAINED THE FORMULA WELL ENOUGH FOR AN IDIOT LIKE ME

  • @good-gpt2-chatbot
    @good-gpt2-chatbot Před 4 lety

    Sir.... My concepts are crystal clear now thanks to you. My prof was rambling on and on for 55 min and I couldn't understand anything, but you literally made a 6 min short video and voila!

  • @nickputkaradze1181
    @nickputkaradze1181 Před 2 lety +3

    This really helped me to finally understand why does that formula work. Thanks!

  • @mateoricucci1285
    @mateoricucci1285 Před 6 lety

    What a simple and efficient way to explain. God bless you sir

  • @eventhorizon492
    @eventhorizon492 Před 10 měsíci +2

    wow, hours of suffering undone in a six minute video. Lifesaver dude, thank you

  • @hhkkv2
    @hhkkv2 Před 5 lety +4

    The concept has been explained comprehensively. Thanks a lot !

  • @xavierstudios8562
    @xavierstudios8562 Před 5 lety +1

    this was super helpful keep it up and never stop what your doing

  • @tj-8422
    @tj-8422 Před rokem +2

    Thank you so much for this Dr. Bazett!

  • @ALele14Baller
    @ALele14Baller Před 5 lety +8

    BLESS YOU!!! I can't ever understand my professor who's lectures are an hour and 40 minutes long, and I just learned it all in 6 minutes!!!

  • @andrexeme_swag
    @andrexeme_swag Před 3 lety

    Got to love the way you explain. Great video!

  • @Marbles40
    @Marbles40 Před 3 měsíci

    tysm istg my teacher tried to teach this and like 10 other things in one day to try to get us ready for the state test but you helped me more than she did

  • @kenho4470
    @kenho4470 Před 8 měsíci +1

    Amazing video. 10/10 love the enthusiasm AND ACTUALLY HELPED ME UNDERSTAND THIS FORMULA BRUH. I owe u a great debt of gratitufe

  • @NathanQueija
    @NathanQueija Před 2 lety +1

    Oh gosh, I finally understood the intuition behind this formula. Thanks a lot!

  • @shakthivel6313
    @shakthivel6313 Před 4 lety

    Really helped me a lot... so proud of a student of urs... keep going... thank you brother...

  • @orangeoranges6727
    @orangeoranges6727 Před rokem +1

    you're a wonderful teacher, can't thank you enough

  • @shobhitsrivastava4496
    @shobhitsrivastava4496 Před 4 lety +2

    Just now I saw some of your videos, sir
    its quite impressive, you have got some unique style of teaching. Keep Up your good work!

  • @sumukhsonkar3136
    @sumukhsonkar3136 Před 3 lety +2

    Thankyou so much ,
    Very well explained..., This topic is one of the topics in the syllabus of of competitive exams m going to appear this month (in India),
    I checked some your videos and those are really helpful... Thanks again 🙏🏻

  • @rsadsultanov3071
    @rsadsultanov3071 Před 3 lety +1

    Thank you,you made all my sceptical thoughts deploy.Awesome video,

  • @spiderking4059
    @spiderking4059 Před 4 lety

    Thank you so much, you helped me understand probability in about 7 minutes what my tutor spent months trying to get me to understand.

  • @bruceskellator
    @bruceskellator Před 5 lety

    Really succinct and clear explanation of Conditional Probability! Came here after not being able to understand my lecture slides.

  • @yiphayden
    @yiphayden Před 2 měsíci

    Didn’t really understand this when studying in high school
    Thank you for helping me clearing concepts with one short video ❤️

  • @stacigrimes9920
    @stacigrimes9920 Před 10 měsíci

    Thank you for breaking it down to a level that could actually be understood.

  • @jaybee4976
    @jaybee4976 Před 3 lety +1

    thanks man for this crystal clear explanation. you are really a king

  • @firewalllife
    @firewalllife Před rokem

    Great explanation! Thank you so much.

  • @Mel-nx6dp
    @Mel-nx6dp Před 3 lety +5

    going into my final exam in a couple hours and I finally understood this concept omfg

  • @SkiddleyWhiffers03
    @SkiddleyWhiffers03 Před 9 měsíci

    Sir, you have been so helpful. Thank you so much

  • @alinatv123
    @alinatv123 Před rokem +1

    very helpful and straight to the point, tysm

  • @mvenkataramana2275
    @mvenkataramana2275 Před 2 lety

    loved the explanation Dr

  • @tangbein
    @tangbein Před 7 měsíci

    Well explained. Thank you for tutorial!

  • @akosuafrimpong4465
    @akosuafrimpong4465 Před 3 lety

    This all finally makes sense. You're God-sent; thanks a bunch!

  • @salwah1707
    @salwah1707 Před 6 lety

    Very well explained. Thank you for this!

  • @chrisxue-ti7dg
    @chrisxue-ti7dg Před 5 měsíci

    A good video with clear and appropriate emphasizing on the key point

  • @yugosaito9704
    @yugosaito9704 Před 10 měsíci +2

    Thank you, you are an excellent teacher!

  • @joshuang7477
    @joshuang7477 Před 4 lety

    Amazing, you explain it so well. Thank you so much sir!

  • @maddiekatarski4061
    @maddiekatarski4061 Před 5 lety

    I watched all of four different videos about conditional probability and still didn’t understand it until this video. Thanks!

  • @artvibezz27
    @artvibezz27 Před 2 měsíci

    literally so helpful. cant thank you enough

  • @youssefelhefnawy7009
    @youssefelhefnawy7009 Před 4 lety

    Hey man I do like that you do explain the meaning behind the equation, that is how we should learn maths in all stages keep it up :)

  • @cait7140
    @cait7140 Před 5 lety +1

    I got to 5:30 and a massive freaking lightbulb went off in my head. THANK YOU

  • @liakouras96
    @liakouras96 Před 5 lety

    Perfect explanation. Excellent. Thank you

  • @mariagotherstrom9533
    @mariagotherstrom9533 Před 2 lety +1

    I am so grateful for this. I finally understood.

  • @lttrhd
    @lttrhd Před 2 lety

    So young and so brilliant. Thanks God for people like this👍. Respect

  • @tr3251qw
    @tr3251qw Před 4 lety

    Thanks a lot for your videos. They are really help to understand.

  • @haroldsu1696
    @haroldsu1696 Před 4 lety

    crystal clear presentation. Thank you !

  • @vonderasche2963
    @vonderasche2963 Před 10 měsíci

    Really simple explanation, the venn diagram helped a lot

  • @mariuszwiesiolek5777
    @mariuszwiesiolek5777 Před 6 lety

    Very helpful! I'll come here frequently!

  • @supersql8406
    @supersql8406 Před 4 lety +29

    I like how Tefor is really a smart guy, but he does his best to explain it in layman's term... sometimes the vocab in itself can be confusing for those who just starting...

  • @rahulkumar-fv5pq
    @rahulkumar-fv5pq Před 4 lety

    Sir your way of teaching is much better than other. Love from India.

  • @OmnipotentZORG
    @OmnipotentZORG Před 3 lety +2

    Oh my gosh thank you, I was overthinking it so much. I have an applied statistics midterm tomorrow!

  • @TheMiniatureRobot
    @TheMiniatureRobot Před 6 měsíci

    This was very informative and I understand the concept much better. I think I’ll reward myself with a shot or three

  • @nothing82477
    @nothing82477 Před 6 lety

    Brilliant video. Well explained!

  • @heyarnold3733
    @heyarnold3733 Před 2 lety +3

    wow, you explained tyhis so well! better than my professor. thank you so much!!

  • @miss_beautyaholic
    @miss_beautyaholic Před 6 lety +3

    You are a life saver!!! Thanksss

  • @DanishAhmed-vz6sh
    @DanishAhmed-vz6sh Před 3 lety +1

    Thank you Dr. Trefor!

  • @adwoaagyei3557
    @adwoaagyei3557 Před 4 lety

    This was a great video! It helped me understand conditional probabilities easily and quickly! Thank you!

    • @adwoaagyei3557
      @adwoaagyei3557 Před 4 lety

      Do you have a video on the normal bell curve? or do you know where I can watch a good video on it? Thanks!!

  • @user-sl9bb6ij9g
    @user-sl9bb6ij9g Před 2 lety +1

    Thanks, you make it so simple!

  • @jeantsu6850
    @jeantsu6850 Před 6 lety

    Best video I've seen explain this yet

  • @christinaegan2997
    @christinaegan2997 Před rokem +1

    Thankyou for this!!! So straight forward!

  • @udonwarrior9983
    @udonwarrior9983 Před 6 lety +32

    Best explanation!

    • @TH-cq8jy
      @TH-cq8jy Před 3 lety

      Who do you support in La Liga?

  • @sachinwalunjakar8854
    @sachinwalunjakar8854 Před 2 lety +1

    Thanks for making this video.
    Very Helpful.

  • @abdussamad9399
    @abdussamad9399 Před 2 lety +1

    Wow, just amazing! You saved my day!

  • @aditigarg6182
    @aditigarg6182 Před 5 lety +1

    U cleared my doubt of why we take intersection as numerator and why sample space reduces.... Thanks a lot

  • @resulovelnur4606
    @resulovelnur4606 Před 6 lety

    Many thanks for this amazing explanation

  • @vanilla7045
    @vanilla7045 Před rokem +1

    thank you soo much...i literally love u😍🥰

  • @dusicamilosavljevic6718

    Now I really understood it after so many failed attempts. Thank you!

  • @mrbagginz5963
    @mrbagginz5963 Před 3 měsíci +1

    My god thank you so much im a 6th grader who enjoys math and learning about the why and you gave so many reasons this made sense! I’ll definitely watch you more and thank you 😂

  • @antonbashkin6706
    @antonbashkin6706 Před 2 lety

    Great explanation, excellent example problem thank you!

  • @monroeranderson
    @monroeranderson Před 2 lety

    Excellent, excellent, excellent explanation! Thanks you!

  • @revanthk61
    @revanthk61 Před rokem +1

    Impressive video Dr.Bazett

  • @ooffoo5130
    @ooffoo5130 Před 4 lety

    thank you so much for this, it explained it so well

  • @lavanyapal9912
    @lavanyapal9912 Před 4 lety

    Thanks :)
    Your example made it all clear.