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Probability
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- Опубликовано: 17 авг 2024
- Ask me Anything Anytime on Twitter: x.com/NewThink...
I took everything in a standard 500 page text book on Probability and put it in this one video. I will cover every formula, but also will solve a real world problem with each formula.
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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
0:00 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
Yes, please! More machine learning stuff! I'm dipping my toes into it and this came right on time!
As always, such a great educator! We're so lucky to have you, your time and passion!
Thank you so much for the nice message :) I appreciate it!
Yes please Derek! Calculus, linear algebra, differential equations and stats next!🎉
Thank You Master Derek!!
It is my pleasure to help :)
Thank you very much Mr. Banas, I needed to revise some probabilities for my BSc thesis in ML.
Happy to be of help :)
Dude I'm happy you did this math stuff, waiting for more! As many topics on statistics/probablity/Machine Learning (&Deep Learning, neural networks, Natural Language Processing) as possible, I'd watch all of them dude!
Didn't realize how simple statistics is until I watched this. Thank you Derek!
Great vid, I took stats awhile back and this is a good refresher for some of the material. If possible, a business/accounting math would be awesome!
I really hope there's enough attention for the rest of the videos!
Derek, thank you for all! You helped me a lot with patterns back in the day.
Thank you :) It is always nice to hear I've helped
I have been asking for a while, please make a playlist
Man, I already passed my probability course (barely), it's a real shame I didn't encounter this video before my exam, I bet it could have helped a lot.
You are a life saver THANK YOUUUU
Thank you Derek.
It is my pleasure to help :)
Hey derek, I have seen many of your videos and really learned a lot. I would request you to come up with video where you specify how you come up with such wide variety of topics. How people of this generation can think of learning different-2 topics. I know many of us do have tiny knowledge about multiple things but not deep knowledge. That would really help us all. Thank you
Its simple he must be studying google trends and observing what do people lack, that the do certain searches, then he teaches them.
I have always found myself in situations where I have to learn new things. Over time I feel in love with the idea of learning everything. I prefer to learn the 85% of things that are the most useful. Many people try to learn near 100% for their profession, but I'm not interested in that.
Currently I'm studying for my CFA and I'm trying to master technical analysis for a job. That job also requires me to take my programming and ML knowledge and apply it in new ways.
These tasks normally take many months. The skills required to learn these new skills may have taken me years to develop.
I think that is what people struggle with. When you are first starting you develop skills that can be used in numerous applications. Those skills normally take years to develop to the point in which you can use them without thinking. Then you utilize those skills to learn complex tasks that rely on all the work you did in the past in new ways. That is why it seems easy for me to learn new complex topics. I have already put in the years to develop all the base skills that are required. Does that make sense?
Derek, I am curious if you have done a video, or intend to do a video on ChatGPT and other A.I. platforms could takeover the STEM fields filling in the gaps in student learning or outright taking jobs away from people with a long history in that vocation? I have been using ChatGPT since its inception. I stopped learning to program because ChatGPT can build an entire website for me, both the front-end and the back-end.. It can also do complex math and explain it to me in a way I can understand. This is revolutionary on so many levels and scary on many more levels. I would enjoy your commentary about the future of AI and how a younger generation could teach their children to limit its use while still taking advantage of A.I. to be competitive in society.
I as well find the advances in machine learning to be amazing! I have been working in this field for about 6 years with inventory analysis. I think it is a given that ML has and will continue to revolutionize numerous industries. How far that ultimately goes will depend on adoption on the consumer and corporate level.
I'll give you a real world example. I attended a conference about 8 months ago on ML in healthcare. It started out amazing. The computers were more accurate with treatment. They could find severe problems at a much higher rate. They were going to lower errors, lawsuits, healthcare costs and health insurance costs!
Then as people started talking the mood changed. People started talking about real situations in which doctors strayed away from textbook treatments and how those actions had cured diseases and potentially saved lives!
I talked about my personal experiences. I have Long Covid. I spent 2 years being severely ill. Doctors were afraid to do anything, for fear of lawsuits, and so they did nothing for me. I suffered from massive brain inflammation which lead to fainting, which lead to numerous concussions. Then I met a doctor that used a drug in a way in which it wasn't supposed to be used, by the textbook, and that drug cured me!
Long story short, yes ML is amazing! It will no doubt solve countless problems that humans on their own could never do. However social interaction is insanely important. Communication with humans is needed for us to survive. I believe that much of the strife in humanity that exists now, more than it has in my lifetime, has been caused by our collective addiction to computers.
People fear an AI take over (In the Terminator Sense), which I believe is rather silly if you know how these algorithms actually work. I do however fear a world in which human beings no longer make decisions with compassion and common sense. I fear a world in which people no longer communicate, but instead allow an algorithm to create their words. I fear a world in which humans become the interface through which the algorithms lead humanity forward.
Well, Derek, I probably don't find any words to express my gratitude to you.
Thanks a universe
Thank you for the nice message :) It makes me happy to know I help
Derek, what happened on slide "Types of Variables"? 😄
Yes, you could model the number of sixes rolled over the course of a year as a discrete random variable with a countably infinite sample space (0 sixes, 1 six, 2 sixes…) but you could do the same with the number of sixes ever rolled on earth (although I'd love to see how you would try to come up with a probability distribution for that). Every time you're asking for the "number" or "count" of something, you're dealing with a countable (i.e. either finite or countably infinite) sample space. An infinite set is countably infinite if there exists a bijection to the natural numbers and it is uncountably infinite otherwise. Often sizes of objects and time spans can be seen as continuous random variables with an uncountably infinite sample space, e.g. the length of a nail or the time span between two lightning strikes.
Otherwise very good overview and I'd love to have come across such a video during my stochastics course back in university!
In the Conditional probability example, why did you include the total of 200 in both the top and bottom parts of the equation? Doesn't the total just cancel out. So you could just have easily said the conditional probability equals the number of women who exercise divided by the total number who exercise.
Yes it is common in that situation to cancel out the denominator. Sorry I didn't say that in the video
derek bro please make calculus and linear algebra for machine learning video eagerly waiting😍🤩
Hi Derek, please make a playlist on mybatis complete XML mapper with spring rest and Java 8 also please
I'm looking into it
There are two problems with the section on mutually exclusive events (7:18).
First, this is not an example of mutual exclusivity. In rolling two dice, you can roll a 1 on one die and a 2, 4 or 6 on the other. They are independent events, but they can happen at the same time.
You can't roll a 1 and an even number (2, 4 or 6) on the same die in one roll at the same time. This would be an example of mutual exclusivity.
Second, the odds of rolling a 1 on one die and a 2, 4 or 6 on the other is 1/6 * 1/2. 1/12, not 2/3. You multiply, not add, the probabilities.
For intuition, extend out this example to six dice instead of two. To calculate the odds of rolling 1-2-3-4-5-6 with six dice in one roll you multiply the odds of rolling the individual number on each die. The odds of rolling each number is 1/6, and 1/6, added six times is 6/6 or 100%. I think it's pretty obvious that you will not roll six dice and get 1-2-3-4-5-6 100% of the time. You multiply the probablities, which gives you 1/46,656 (0.002%), not 6/6.
The odds of rolling one die, one time, and getting a 1 OR and even number would be 2/3.
Derek pls apart from this, is your statistics in one video also enough to watch and learn the statistics needed for machine learning, and move into your machine learning videos such as your tensor flow video, and please i will like to see a video explaining how
machine learning algorithm works such linear regression and k means...e.t.c
Yes, what I do with these videos is to provide one example on nearly every formula important to these maths. I then work through each problem and explain what is going on in detail
Gracias senor!
Please do one about linear algebra, excellent video
Thank you :) I have a 29 part series on Linear Algebra that starts here ruclips.net/video/0WDhKCPtbng/видео.html I'll look into a Learn in One
could you please create a table content as timestamp for this course? thanks!
Fixed it
Linear Algebra please!!
I have a 29 part series on Linear Algebra that starts here ruclips.net/video/0WDhKCPtbng/видео.html I'll look into a Learn in One
more math videos ❤
I'm glad you like them. I have a ton
nice keep it AI & ML hot topic these days
I have a bunch of ML tutorials if you are interested
ruclips.net/user/liveY__gyApx_7c
ruclips.net/user/liveGy3B1l-iadA
ruclips.net/user/livead-Qc42Kbx8
ruclips.net/user/livewJWtZq6f-60
Your discount link is expired. Anyways, can you make a tutorial on how to make WebAR from scratch? Be able to scan a QR code to trigger a website then that website has a built in camera to scan images with your mobile, and scan things to generate augmented reality.
Let's go to Las Vegas.
Derek should do a video on Mafia theory, to make some examples.
good
Omg so cool 🎉
I'm glad you liked it :)
Derek Banas!!!!!❤️
❤️❤️❤️THANK YOU❤️❤️❤️
idol brother..
I had to slow the speed cause the information overload was real 😂
U were joined youtoob 2008 so how much rupees till day did u earned mr. Derek??
I make .002 cents per view. I definitely don't make videos to make money
Dreak is probably one last person who uploads YT for financial insentive be a bit more respectful
Low number of viewers, probability I will watch full video is about 49.67%
That's funny :D
What is the probability of anyone mastering probability in 46mins?
If they work through all of the problems I'd say it is pretty high
🤣🤣🤣
FIRST!
Thanks for following my videos :)
@@derekbanas You are the KING! We will always follow you!!