Basic Probability: The Multiplication Rule

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  • Опубліковано 4 жов 2024
  • An introduction to the multiplication rule. (I assume the viewer has an understanding of conditional probability and independence, but I do a very brief review of those concepts.) I introduce the multiplication rule for two events, work through a simple example, then discuss the multiplication rule for 3 events and how it generalizes to any number of events. I end with an example using the multiplication rule to find the probability of a 3 way intersection.
    Canadian demographic information is based on Statistics Canada numbers found here:
    www150.statcan...
    0:18 Brief review of conditional probability and independence.
    1:39 Multiplication rule for two events
    2:49 Simple urn example
    4:32 Cautionary example
    6:43 Multiplication rule for 3 events
    7:35 Example involving Canadian demographics

КОМЕНТАРІ • 41

  • @balakrishnaprasad8928
    @balakrishnaprasad8928 3 роки тому +20

    Seeing you after one year thank you for uploading again.

  • @TheKrasTel
    @TheKrasTel 3 роки тому +4

    One of the best stats channels on youtube!

  • @marcussimmons7003
    @marcussimmons7003 2 роки тому

    This is just what I needed... someone to slowly and carefully explain this looping situation, and that it can't be solved with just those two probabilities.

  • @CStrik3r
    @CStrik3r 3 роки тому +9

    Glad seeing you back ! You got me into and through college. Keep up the great work !

  • @ds5015
    @ds5015 Рік тому

    I like your comment about not JAMMING things into the nearest formula. Than you for the occasional comic relief throughout your videos. Urn vs goblet… was totally a goblet.

    • @jbstatistics
      @jbstatistics  Рік тому +1

      Like I said, it's an urn and I'm sticking to it :)

  • @jose4877
    @jose4877 3 роки тому

    Thank you for giving a more challenging example, instead of keeping it all at the trivial level. This was great. :)

    • @jbstatistics
      @jbstatistics  3 роки тому +2

      Thanks! And you are very welcome. I wanted to keep it all pretty straightforward, as it is aimed at students in an applied intro statistics class, but I also wanted to go a little beyond the basic urn and deck of cards problems.

  • @in_general_
    @in_general_ 2 роки тому

    nothing excites me more than your teaching skills🤗

  • @FYKMr
    @FYKMr 3 роки тому

    wow still uploading after so many years, keep it up!

  • @Marco-wz8xw
    @Marco-wz8xw 3 роки тому +2

    Wow, amazing! Thank you for the video. Absolutely clear.

  • @easymoney7344
    @easymoney7344 3 роки тому +2

    I hope there could be 3 hard questions for each video bro ❤️🔥

  • @anthonyvillarama6806
    @anthonyvillarama6806 2 роки тому

    Perfection. I want also to see the how you derive the addition rule.

  • @thoidrone6947
    @thoidrone6947 3 роки тому +1

    Do you have a video covering Bayes' Theorem?
    Your presentations are very easy to follow - Thanks.

  • @AdminGeneral-u5n
    @AdminGeneral-u5n 6 місяців тому

    Amazing! explanation thank you.

  • @mathmadedeadsimple
    @mathmadedeadsimple 3 роки тому +1

    For the algorithm, and to encourage more vids

  • @stanleykiio5399
    @stanleykiio5399 3 роки тому

    thank you so much. quite demystifying

  • @jaredtweed7826
    @jaredtweed7826 2 роки тому

    Can you make a video on jointly distributed random variables in a continuous setting? I am struggling to understand this, and I would guess that is also true for many other people. I love your videos, and I hope you continue to make them!

  • @easymoney7344
    @easymoney7344 3 роки тому

    Damn bro your videos are lit🔥🔥🔥 thank you for this I'm really happy I found a gold like yours❤️.

  • @cococnk388
    @cococnk388 2 роки тому

    Thanks for the video! very well understood....
    Can you make an organise playlist of statistics videos for those who are interested in learning statistics in a uniform, organised and progressive way?

  • @mikhaeldito
    @mikhaeldito 3 роки тому

    Thank you for all the videos. I find these quite digestible! Do you have any suggested order for watching your videos if one wants to learn probability comprehensively? Thanks in advance.

  • @yrysf777
    @yrysf777 3 роки тому +1

    Make a video on Bayes Rule please.

  • @devanandae2451
    @devanandae2451 3 роки тому

    Can u please discuss caushys distribution, log normal distribution etc.... U r really amazing ❤

  • @vigil4Jesus
    @vigil4Jesus 3 роки тому

    Hello JB statistics. Thank you for your videos. I am a beginner student of statistics and find your videos really helpful. Is there an order for them from the start? if I'm to go through them to really get a grasp of it.PLEASE HELP

  • @ipsitabiswas5631
    @ipsitabiswas5631 3 роки тому

    Hi
    Can you please upload code in R( without use of boot())
    for non parametric bootstrap confidence Interval for Binomial distribution to conduct inference on p. We could use phat= y/n
    For the bootstrap methods, use B = 200 resamples.
    N=1500 and p varies from 0.01 to 0.99 by 0.01

  • @AnirudhMakhana
    @AnirudhMakhana 3 роки тому

    Which software was used to create the presentation? Looks neat and minimal.

    • @jbstatistics
      @jbstatistics  3 роки тому +1

      The background is a Latex/Beamer presentation. It was captured and edited in Screenflow. I'm glad you like the look! I do too!

  • @sthefanyguzman8209
    @sthefanyguzman8209 2 роки тому

    I would like know if you give online classes? if you do, I would like to know more info

  • @dragonwave2652
    @dragonwave2652 3 роки тому

    Hi. I need your help, can you help me, please?
    I watched your videos about linear regression, but these formulas are not working for me, let me explain. I am translating one python library to standard python. So when I tried to get t-value, from standard error of beta. I have zero intercept ordinary least square, and SE(b) should be s/sqrt(sum(x^2)), where s=sqrt( sum( resud^2 ) / (n-1) ) ( not -2 because of zero intercept )
    x = 1, 2, 3
    y = 7, 3, 5
    beta = 2
    s = 5.217
    sqrt(SSxx) = 374.165
    SE(b) = 1.394
    what I should get is (library's solution)
    Se(b) = 0.98
    Help me, please

  • @ghzich017
    @ghzich017 2 роки тому

    Software used?

    • @jaredtweed7826
      @jaredtweed7826 2 роки тому

      He answered this in another comment on this video

  • @scottmovold6086
    @scottmovold6086 Рік тому

    I'm quite certain that this incorrect. Given that these probabilities are not independent.

    • @jbstatistics
      @jbstatistics  Рік тому

      Quite certain what is incorrect? And even without knowing what you're talking about, I'm very, very confident you are simply wrong.

  • @AryssaRiyasat
    @AryssaRiyasat 2 місяці тому

    La probabilité peut-elle être négative ?

    • @AryssaRiyasat
      @AryssaRiyasat 2 місяці тому

      Comment est-ce possible?

    • @AryssaRiyasat
      @AryssaRiyasat 2 місяці тому

      Y a-t-il des événements tels que la probabilité est négative ?

    • @jbstatistics
      @jbstatistics  2 місяці тому

      @@AryssaRiyasat Pas selon les définitions standards de la probabilité.

  • @dwadwadw8730
    @dwadwadw8730 2 роки тому

    4:58 you got me there , again... :)

  • @ismaeelmuhammad3743
    @ismaeelmuhammad3743 2 роки тому +1

    I am the 11,000th viewer. lol