Basic Probability: The Multiplication Rule

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:

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

[balakrishnaprasad]

Seeing you after one year thank you for uploading again.

[marcussimmons]

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.

[ds]

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.

[TheKrasTel]

One of the best stats channels on youtube!

[jose]

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

[CStrikr]

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

[in_general_]

nothing excites me more than your teaching skills🤗

[thoidrone]

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

[FYKMr]

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

[Marco-wzxw]

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

[ipsitabiswas]

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

[anthonyvillarama]

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

[cococnk]

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?

[easymoney]

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

[mikhaeldito]

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.

[dragonwave]

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

[jaredtweed]

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!

[sthefanyguzman]

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

[AnirudhMakhana]

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

[vigilJesus]

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