Probability for Data Science & Machine Learning

There is nothing more exciting in the world right now then Machine Learning and Data Analytics! In this one video I will teach you a key part of the Math of Machine Learning and Data Analytics which is Probability.

I took everything in a standard 500 page text book on Probability in put it in this one video. I will cover every formula, but also will solve a real world problem with each formula.

After this video on Probability I will continue with the Math of Machine Learning by covering Statistics, Linear Algebra and Calculus. If you want to see those videos click the Notification Bell.

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#LearnWithMe #Probability #DataScience

Here is a Table of Contents that will allow you to jump around in the video and learn what ever you are interested in.

TABLE OF CONTENTS

00:00 Intro
01:31 Probability Definitions
01:44 Union
02:12 Intersection
02:39 Complement
02:59 Conditional Probability
04:30 Contingency Table
04:48 Addition Rule
05:40 Joint Probability
06:00 Dependent vs. Independent
06:45 Independent Events
07:17 Mutually Exclusive Events
07:44 Venn Diagrams
08:39 Tree Diagrams
09:48 Total Probability
11:37 Bayes' Theorem
14:09 Combinatorics
14:22 Permutations
15:46 Combinations
16:57 Poker Probabilities
19:26 Which to use?
19:51 Variations
20:30 Types of Variables
21:00 Discrete Uniform Distribution
21:05 Probability Mass
22:03 Variance
22:35 Relative Frequency Histogram
22:44 Cumulative Distribution
23:03 Expected Value
24:00 Standard Deviation
24:25 Normal Distribution
25:35 Z Score
26:53 Negative Z Score
27:25 Reverse Z Score
28:08 Confidence Intervals
29:58 Binomial Probability
31:35 Poisson Distribution
32:55 Geometric Probability
35:00 Central Limit Theorem
35:26 Negative Binomial Probability
36:15 Which to use?
36:46 Negative Binomial Formula
38:05 Hypergeometric Distribution
40:58 Continuous Probability
42:37 Continuous Probability Formula
43:16 Exponential Distribution
44:34 Exponential Formulas

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TABLE OF CONTENTS

00:00 Intro
01:31 Probability Definitions
01:44 Union
02:12 Intersection
02:39 Complement
02:59 Conditional Probability
04:30 Contingency Table
04:48 Addition Rule
05:40 Joint Probability
06:00 Dependent vs. Independent
06:45 Independent Events
07:17 Mutually Exclusive Events
07:44 Venn Diagrams
08:39 Tree Diagrams
09:48 Total Probability
11:37 Bayes' Theorem
14:09 Combinatorics
14:22 Permutations
15:46 Combinations
16:57 Poker Probabilities
19:26 Which to use?
19:51 Variations
20:30 Types of Variables
21:00 Discrete Uniform Distribution
21:05 Probability Mass
22:03 Variance
22:35 Relative Frequency Histogram
22:44 Cumulative Distribution
23:03 Expected Value
24:00 Standard Deviation
24:25 Normal Distribution
25:35 Z Score
26:53 Negative Z Score
27:25 Reverse Z Score
28:08 Confidence Intervals
29:58 Binomial Probability
31:35 Poisson Distribution
32:55 Geometric Probability
35:00 Central Limit Theorem
35:26 Negative Binomial Probability
36:15 Which to use?
36:46 Negative Binomial Formula
38:05 Hypergeometric Distribution
40:58 Continuous Probability
42:37 Continuous Probability Formula
43:16 Exponential Distribution
44:34 Exponential Formulas

[Adam-cnib]

I love how you almost always upload whatever I'm currently learning. You're a true oracle :).

[Krazness]

Been following you for years, and your content has been consistently high quality. I used to hate/fear computer science, but because of your videos and other resources I grew to love it and I'm software engineer. Thank you for all that you've given our community

[firstname]

I really like this style of presentation -- straight forward, just the facts, no messing around
if I didn't totally get the concept I can always just stop the video and go back
thank you for this

[undisclosedmusic]

Fantastic! Definitely would love a linear algebra, stats, calculus for ML! Also, Nim as a next programming language video? Thanks Derek!

[survannasow]

6:33 I think there is a mistake in
P(A|B) = P(A) & P(B|A) = P(B) is to verify that it's independent, not as written in the slide.

[Abbykk]

King of king I must say Derek
You are a Master educator a generous Man of passion, patience knowledge and acumen
I can say no other channel can match your content
All my friends in stony brook and Gtech look upon your videos I find them great

[parampalsingh]

You really bringing the content to a whole new level with like these. Thank you for this ML and Data Analytics Series! I'm also looking forward to the others you already made about Python, Numpy

[zawzawz]

I just recently started on machine learning myself, so this video was very well timed for me. Thanks for making this! It’s well put together and extremely useful. Looking forward to stats and linear algebra!

[masoud]

amazing tutorial Derek. keep this machine learning series up! Thanks

[stephene]

You have no idea how long I’ve been waiting for math related machine learning content from you, you are a life saver sir. Please do more on linear algebra and calc!

[JitheshChandrasekharan]

Derek ! This is a great initiative in the new AI world. Most people are struggling with real math behind the scenes. So Stat, Linear Algebra and Calculus will be a great blessing for a vast number of developers who are not able to approach AI because of lack of Math basics !!! Thanks !

[johnmccrae]

Thank you so much Derek!
Intellectual treasures like yourself are a miracle to both shameless nerds like me and people who cannot access books/proper education due to their financial situation. You are a legend 😎

[muditchoraria]

Thank you so much Derek. I think whenever I think of a topic, it's your channel that I refer to. Crisp and precise. Keep on adding new topics.

[GobblowGalaxyGamer]

YES! I've been wanting a machine learning video from you for so long.

[vladpuha]

Finally! Thank you soo much!!! Now I will be following your courses on ML.. I been waiting for them for some time. Yaaayyy!

[yruri]

Big thanks! Didn't expect it, so happily surprised. Please also make videos on statistics, linear algebra, calculus, and other ML related videos.

[enoughmuskspam]

YES! more math tutorial please Derek there isn't anything similar on youtube unlike programming vids

[lyricsmint]

Great video Derek ❤️ I like the way you explain things probably the best explaination on YouTube. As they say if something is hard to grasp. A teacher should mold it to the level of students. You did this in best way..

[jesseduffield]

Amazing video. I love how despite the time constraint to fit everything into one video you still speak at a steady pace