Intro to Conditional Probability

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  • เผยแพร่เมื่อ 17 พ.ย. 2017
  • 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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ความคิดเห็น • 686

  • @DrTrefor
    @DrTrefor  3 ปีที่แล้ว +74

    More Conditional Probability Examples:
    Vid 1: th-cam.com/video/OYT0AcuLXu8/w-d-xo.html&ab_channel=Dr.TreforBazett
    Vid 2: th-cam.com/video/nz-ADHZrYxk/w-d-xo.html&ab_channel=Dr.TreforBazett

    • @superslimey7780
      @superslimey7780 3 ปีที่แล้ว +1

      nice

    • @ParadymShiftVegan
      @ParadymShiftVegan 3 ปีที่แล้ว +1

      3:58 LGBTQ+ just got triggered 😅

    • @metro.mayor_
      @metro.mayor_ 3 ปีที่แล้ว

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

    • @phellisbonah8012
      @phellisbonah8012 2 ปีที่แล้ว

      Ok

    • @ramyhuber8392
      @ramyhuber8392 2 ปีที่แล้ว

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

  • @arcadian3090
    @arcadian3090 3 ปีที่แล้ว +1355

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

  • @jesusaranda3726
    @jesusaranda3726 5 ปีที่แล้ว +1105

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

    • @alejandratrujillo1312
      @alejandratrujillo1312 5 ปีที่แล้ว +2

      Same here! You saved my life!

    • @Tintin-dm4ym
      @Tintin-dm4ym 5 ปีที่แล้ว +20

      Jesus Aranda it’s a 6 min video XD

    • @adityashinde1079
      @adityashinde1079 4 ปีที่แล้ว +14

      @@Tintin-dm4ym his maths is weak 😂

    • @alisheikh3585
      @alisheikh3585 4 ปีที่แล้ว +8

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

    • @gytisdramblewolfskis8521
      @gytisdramblewolfskis8521 4 ปีที่แล้ว +10

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

  • @redwillowofdreams8931
    @redwillowofdreams8931 6 ปีที่แล้ว +564

    Stop reading the comments and get on with your homework.

    • @nitamac1312
      @nitamac1312 6 ปีที่แล้ว +67

      stop writing comments and get on with your homework

    • @bakonator4845
      @bakonator4845 6 ปีที่แล้ว +24

      Redwillow of Wattpad, it’s too late my pet goldfish already ate my homework. I’m just studying for a test

    • @steveworldwar2
      @steveworldwar2 5 ปีที่แล้ว +3

      Fuck you

    • @jackbrookes21
      @jackbrookes21 5 ปีที่แล้ว +10

      i feel attacked

    • @aishaelmubarak8689
      @aishaelmubarak8689 5 ปีที่แล้ว

      @@bakonator4845 fuck u

  • @ramtinshahali9944
    @ramtinshahali9944 2 ปีที่แล้ว +76

    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 4 หลายเดือนก่อน +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 หลายเดือนก่อน +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 หลายเดือนก่อน

      Ur learning secondary school level maths at uni??

  • @simplematters4893
    @simplematters4893 4 ปีที่แล้ว +328

    Who’s here during covid19 online learning

    • @Abdussalam-ml3so
      @Abdussalam-ml3so 4 ปีที่แล้ว +4

      @@DrTrefor lol

    • @143woww
      @143woww 4 ปีที่แล้ว +13

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

    • @________4423
      @________4423 4 ปีที่แล้ว +2

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

    • @adeliadrawstuff
      @adeliadrawstuff 3 ปีที่แล้ว +2

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

    • @DrTrefor
      @DrTrefor  3 ปีที่แล้ว +18

      Good luck everyone with your online courses:)

  • @rileyregan2900
    @rileyregan2900 3 ปีที่แล้ว +143

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

    • @louiselin3928
      @louiselin3928 3 ปีที่แล้ว +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 2 ปีที่แล้ว +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 5 หลายเดือนก่อน

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

  • @spicyboi1825
    @spicyboi1825 3 ปีที่แล้ว +34

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

  • @felixhall6429
    @felixhall6429 5 ปีที่แล้ว +311

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

  • @jiovek
    @jiovek 3 ปีที่แล้ว +22

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

  • @thegrinch2613
    @thegrinch2613 4 ปีที่แล้ว +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 ปีที่แล้ว

      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 6 หลายเดือนก่อน

      Same here 😢

  • @abdulstarkousa782
    @abdulstarkousa782 4 ปีที่แล้ว

    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 2 ปีที่แล้ว +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.

  • @rubiprieto6205
    @rubiprieto6205 5 ปีที่แล้ว

    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!

  • @MrArtbyart
    @MrArtbyart 2 ปีที่แล้ว +1

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

  • @sarathkumarkm5638
    @sarathkumarkm5638 2 ปีที่แล้ว +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

  • @OmarAlMatar
    @OmarAlMatar 3 ปีที่แล้ว

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

  • @limjenny7815
    @limjenny7815 3 ปีที่แล้ว +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.

  • @tinadong7791
    @tinadong7791 4 ปีที่แล้ว

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

  • @good-gpt2-chatbot
    @good-gpt2-chatbot 4 ปีที่แล้ว

    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!

  • @nimeshibandara6090
    @nimeshibandara6090 5 ปีที่แล้ว +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!

  • @MrLiamcfc
    @MrLiamcfc 5 ปีที่แล้ว +47

    Jack Whitehall you are a lifesaver bro

  • @L2.Lagrange
    @L2.Lagrange ปีที่แล้ว +5

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

  • @interfaze9930
    @interfaze9930 2 ปีที่แล้ว +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!

  • @aldotovar9231
    @aldotovar9231 4 ปีที่แล้ว +1

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

  • @lafilleindigo
    @lafilleindigo 4 ปีที่แล้ว

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

  • @nickputkaradze1181
    @nickputkaradze1181 2 ปีที่แล้ว +3

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

  • @souraple101
    @souraple101 5 ปีที่แล้ว +1

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

  • @justinlu9399
    @justinlu9399 6 ปีที่แล้ว +34

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

    • @Margauxhoney
      @Margauxhoney 5 ปีที่แล้ว

      and another idiot like me too, haha

  • @mateoricucci1285
    @mateoricucci1285 6 ปีที่แล้ว

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

  • @NathanQueija
    @NathanQueija 2 ปีที่แล้ว +1

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

  • @kenho4470
    @kenho4470 6 หลายเดือนก่อน +1

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

  • @eventhorizon492
    @eventhorizon492 8 หลายเดือนก่อน +2

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

  • @rahulkumar-fv5pq
    @rahulkumar-fv5pq 4 ปีที่แล้ว

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

  • @tj-8422
    @tj-8422 ปีที่แล้ว +2

    Thank you so much for this Dr. Bazett!

  • @bruceskellator
    @bruceskellator 5 ปีที่แล้ว

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

  • @stacigrimes9920
    @stacigrimes9920 8 หลายเดือนก่อน

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

  • @yiphayden
    @yiphayden 28 วันที่ผ่านมา

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

  • @rsadsultanov3071
    @rsadsultanov3071 3 ปีที่แล้ว +1

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

  • @chrisxue-ti7dg
    @chrisxue-ti7dg 3 หลายเดือนก่อน

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

  • @cait7140
    @cait7140 5 ปีที่แล้ว +1

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

  • @isnze
    @isnze 6 ปีที่แล้ว

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

  • @shakthivel6313
    @shakthivel6313 4 ปีที่แล้ว

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

  • @hhkkv2
    @hhkkv2 5 ปีที่แล้ว +4

    The concept has been explained comprehensively. Thanks a lot !

  • @xavierstudios8562
    @xavierstudios8562 4 ปีที่แล้ว +1

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

  • @orangeoranges6727
    @orangeoranges6727 ปีที่แล้ว +1

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

  • @ALele14Baller
    @ALele14Baller 5 ปีที่แล้ว +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!!!

  • @dflash1019
    @dflash1019 4 ปีที่แล้ว

    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.

  • @Marbles40
    @Marbles40 หลายเดือนก่อน

    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

  • @spiderking4059
    @spiderking4059 4 ปีที่แล้ว

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

  • @andrexeme_swag
    @andrexeme_swag 3 ปีที่แล้ว

    Got to love the way you explain. Great video!

  • @TheMiniatureRobot
    @TheMiniatureRobot 4 หลายเดือนก่อน

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

  • @maddiekatarski4061
    @maddiekatarski4061 5 ปีที่แล้ว

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

  • @Mel-nx6dp
    @Mel-nx6dp 3 ปีที่แล้ว +5

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

    • @DrTrefor
      @DrTrefor  3 ปีที่แล้ว +2

      Good luck!

  • @jaspermartin7444
    @jaspermartin7444 5 ปีที่แล้ว +18

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

    • @SciHeartJourney
      @SciHeartJourney 3 ปีที่แล้ว

      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. 🙄

  • @wilurbean
    @wilurbean ปีที่แล้ว

    thank god you have videos on probability.
    Why can't all prof be like you?

  • @jaybee4976
    @jaybee4976 3 ปีที่แล้ว +1

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

  • @farooq36901
    @farooq36901 9 หลายเดือนก่อน

    Excellent video Professor, I read 10 pages of a statistics book and couldn't understand anything until I saw your video.

  • @akosuafrimpong4465
    @akosuafrimpong4465 3 ปีที่แล้ว

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

  • @sumukhsonkar3136
    @sumukhsonkar3136 3 ปีที่แล้ว +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 🙏🏻

  • @shobhitsrivastava4496
    @shobhitsrivastava4496 4 ปีที่แล้ว +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!

  • @tpennyhealth5861
    @tpennyhealth5861 10 หลายเดือนก่อน

    Finally makes perfect sense to me. Took three videos to nail the concept. This topic has really frustrated me and made me run away from probability. Now I understand what my problem was: I couldn't conceptualize the difference between probability of A and B and probability of A given B. So in my head it sounded as though A given B meant A and B.

  • @salwah1707
    @salwah1707 5 ปีที่แล้ว

    Very well explained. Thank you for this!

  • @lttrhd
    @lttrhd 2 ปีที่แล้ว

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

  • @liakouras96
    @liakouras96 5 ปีที่แล้ว

    Perfect explanation. Excellent. Thank you

  • @OmnipotentZORG
    @OmnipotentZORG 3 ปีที่แล้ว +2

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

  • @vonderasche2963
    @vonderasche2963 8 หลายเดือนก่อน

    Really simple explanation, the venn diagram helped a lot

  • @tangbein
    @tangbein 5 หลายเดือนก่อน

    Well explained. Thank you for tutorial!

  • @mariagotherstrom9533
    @mariagotherstrom9533 2 ปีที่แล้ว +1

    I am so grateful for this. I finally understood.

  • @janani271
    @janani271 4 วันที่ผ่านมา

    literally so helpful. cant thank you enough

  • @joshuang7477
    @joshuang7477 4 ปีที่แล้ว

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

  • @mvenkataramana2275
    @mvenkataramana2275 ปีที่แล้ว

    loved the explanation Dr

  • @haroldsu1696
    @haroldsu1696 4 ปีที่แล้ว

    crystal clear presentation. Thank you !

  • @SkiddleyWhiffers03
    @SkiddleyWhiffers03 7 หลายเดือนก่อน

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

  • @alinatv123
    @alinatv123 ปีที่แล้ว +1

    very helpful and straight to the point, tysm

  • @sachinwalunjakar8854
    @sachinwalunjakar8854 2 ปีที่แล้ว +1

    Thanks for making this video.
    Very Helpful.

  • @heyarnold3733
    @heyarnold3733 2 ปีที่แล้ว +3

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

  • @yugosaito9704
    @yugosaito9704 8 หลายเดือนก่อน +1

    Thank you, you are an excellent teacher!

  • @firewalllife
    @firewalllife 11 หลายเดือนก่อน

    Great explanation! Thank you so much.

  • @mariuszwiesiolek5777
    @mariuszwiesiolek5777 5 ปีที่แล้ว

    Very helpful! I'll come here frequently!

  • @revanthk61
    @revanthk61 ปีที่แล้ว +1

    Impressive video Dr.Bazett

  • @user-sl9bb6ij9g
    @user-sl9bb6ij9g 2 ปีที่แล้ว +1

    Thanks, you make it so simple!

  • @nothing82477
    @nothing82477 5 ปีที่แล้ว

    Brilliant video. Well explained!

  • @christinaegan2997
    @christinaegan2997 ปีที่แล้ว +1

    Thankyou for this!!! So straight forward!

  • @abdussamad9399
    @abdussamad9399 2 ปีที่แล้ว +1

    Wow, just amazing! You saved my day!

  • @chellywhit
    @chellywhit 10 หลายเดือนก่อน

    The visual aid was very helpful❤

  • @dusicamilosavljevic6718
    @dusicamilosavljevic6718 4 ปีที่แล้ว

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

  • @jimbeattie3641
    @jimbeattie3641 ปีที่แล้ว +1

    the probability that i have understood this given im an idiot is remarkably high. many thanks.

  • @monroeranderson
    @monroeranderson ปีที่แล้ว

    Excellent, excellent, excellent explanation! Thanks you!

  • @bodzinho3273
    @bodzinho3273 5 ปีที่แล้ว +176

    if you are a man, and a russian, your probability of being an alcoholic is 100%

    • @piyushuniyal6129
      @piyushuniyal6129 5 ปีที่แล้ว

      бодяныч what if you are a woman?

    • @bodzinho3273
      @bodzinho3273 5 ปีที่แล้ว +11

      Piyush Uniyal, if you are women in Russia, probability of being single and have 10 cats is 20%, other 80% is for being married and get beaten by your husband👍

    • @zac2981
      @zac2981 4 ปีที่แล้ว +1

      @@bodzinho3273 really?
      why so serious?

    • @Thehamstersgiude2u
      @Thehamstersgiude2u 4 ปีที่แล้ว +1

      бодяныч what about the probability of being a Russian man and committing suicide?

    • @paritoshagarwal8840
      @paritoshagarwal8840 4 ปีที่แล้ว +3

      probability of becoming president in russia?

  • @rajkumar-ub7wc
    @rajkumar-ub7wc ปีที่แล้ว +1

    wonderful explanation

  • @walterruilova2583
    @walterruilova2583 2 ปีที่แล้ว +1

    You nailed it sir.

  • @youssefelhefnawy7009
    @youssefelhefnawy7009 4 ปีที่แล้ว

    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 :)

  • @ComputerCurry
    @ComputerCurry 2 ปีที่แล้ว +1

    Thanks for the great explanation!

  • @adwoaagyei3557
    @adwoaagyei3557 4 ปีที่แล้ว

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

    • @adwoaagyei3557
      @adwoaagyei3557 4 ปีที่แล้ว

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

  • @tr3251qw
    @tr3251qw 4 ปีที่แล้ว

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

  • @gokulbalaji1736
    @gokulbalaji1736 ปีที่แล้ว

    I'm an average student. I have been searching for the perfect explanation for conditional probability for a long time. My search ends now. Thank you!

  • @Snicksnack_07
    @Snicksnack_07 3 ปีที่แล้ว

    Couldn’t explain this in a better way.Tysm

  • @antonbashkin6706
    @antonbashkin6706 2 ปีที่แล้ว

    Great explanation, excellent example problem thank you!

  • @jeantsu6850
    @jeantsu6850 6 ปีที่แล้ว

    Best video I've seen explain this yet