Statistics Lecture 4.2: Introduction to Probability

[@angelaangela1312]

Professor Leonard. We all have good days and bad ones. Keep posting. We need you specifically. The literal probability of finding a Stat Professor who is willing to break statistics down into simple terms (which about 98% of us need) is not likely. You are a rare jem. Thank you very much. God bless you.

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(not everyone has the gift to teach) ex. your teachers

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[@AtticusEluih]

I've seen plenty of teachers on youtube... plenty.. really truly believe you are top notch Professor Leonard. I think you are very down to earth so advanced concepts are condensed in an excellent way for students to understand when you teach. Thank-you..

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I studied probability/statistics in college and you make the clearest presentation of any one I have ever heard. You are one of the best math instructors/profs I ever encountered.

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I'm literally a senior phyiscs student taking quantum mechanics and I'm learning basic probability way better here than my professor! Thank you professor leonard.

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I’m not one of your students but I feel like I am. You break statistics down so easy for me, and it had made it easier for me to understand my class... I’m going to go to your videos for all my math classes. Thank You ☺️

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Professor Leonard has gotten me through calc 1 to 3 and currently dif eq. my probability professor isn't working out too well and I was pleasantly surprised to find prof Leonard doing Statistics here. Only math teacher I need right here.

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Had to pause the video to add this comment. This ramps up to be the video I needed to finally get a fundamental understanding of probability theory. Good job!

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I am from Pakistan. I am a PhD scholar. Statistics has been in the syllabus for last few years but not in my time. so It was just a mission impossible to understand the subject. I found the lectures so so so much interesting and get the subject very easily. They are awesome. I feel as I am present in the class and enjoy learning. God bless you Ameen

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These videos are literally my class. My teacher does not even try and makes it so hards to understand. I love these videos. Thank you!!!!

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he is beyond perfection. loads of love respect and wishes from india....

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He breaks it down in such easy to understand terms. This helps A LOT!

[@Wran84]

I'm applying to a transition to teaching program and haven't done math in over 10 years. Very helpful and easy on the eyes!

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No matter how you the idea of starting with your video series on math. I got really high scores in Calculus and working with statistics now through you... mostly. Even though I got the highest grade in Calculus classes. I would (probably) not have passed without you! Thank you 😊

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I wish i could have a teacher like you when i was taking statistics lessons back in 2008. I feel blessed to find your videos here on youtube. After watching you lessons I feel that statistics is not that difficult. It all depends on the teacher how he/she delivers the lecture.

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This video is almost 10 years old but it helped so much, I failed algebra 1 almost 4 times in high school and every teacher that tried to help was really bad at it(trying to force me to learn a specific way didnt work due to autism) but these videos specifically your Statistics videos helped alot. I just passed my first ever college statistics class because of these videos!!

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you still can

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you can donate on his patreon page :D

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Professor Leonard, we are really happy about your simplified method of lecturing probability. Thank you!! God bless you continue posting.

[@carlapassmore2472]

Thank you for breaking this down. I am an online student, and this a terrific help :)

[@luvelyjay]

I'm learning and laughing at your jokes at the same time. It's a pleasure learning from you. Thank you so much! I learned so much and I'm looking forward to watching the other content. I'm so glad I found your channel! God bless.

[@cels6642]

for everyone's information, it's OCCURRENCE. Great video btw. Thank you!

[@FizaNihar]

watching it in 2023 and its far better than even today college teachers

[@GhulamMustafa-pn2xi]

Thank you Prof. Leonard! Currently taking a six week stats course and the video done by our prof. are boring, dry, and hard to understand. Watching this made stats actually easier to understand and actually to say "fun".

[@brimo8738]

You are a genius prof. Learnt so much, ready for the exams now. Prof Leonard, it's a gift I guess. Keep up

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You not only teach but also make us understand statistics...its an unbelievable thing

[@ShaunDePonte]

brilliant lectures. coming from zero background in stats to grasping all these concepts, just awesome.

[@roxywan9896]

thank you so much Leonard! I am taking this course through distance education... basically just self taught myself.. no prof explain anything.. it is really hard. I am so blessed that I found you videos. thank you again.

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Thank you very much Sir... This math world owes you big time for your contribution. No value can match up to your teachings

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Thank you for this wonderful video. I used to watch your videos on Calculus but you blew me away with Statistics. Thank you.

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Thank you, Professor Leonard! You saved me big time this semester. I wasn't one of your students but this series of statistics helped very much. I appreciate it.

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My test scores went from 90 on my last test ( not watching these videos) to 98 after watching them. love them thank you

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Amazing work professor. Couldn't handle my stats class without the help of your videos.

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[@chipicaua]

Not gonna lie I like that my odds of getting a head is 50%. In all seriousness though, thanks for another amazing series of lectures, Professor! Love from Greece!

[@jane_6489]

You made this topic so simple. I was looking for an explanation and yours are the best. I have a final exam today. Im'ma come back and take notes about this. Thank you so much Professor Leonard !

[@ambersteensma4949]

Preparing for my Statistics midterm next week!! This has been such a great help! THANK YOU!!!

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You are truly a life saver!! I could listen to you lecture all day long. I wish I would have found your channel at the beginning of the semester my class started.

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Thank you very much sir for this video. Our instructor just writes it down and assumes you understand, he doesn’t take that time to explain like you did. I wish you were my teacher.

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Superb. Excellent presentation. Even if I have a B.S. in maths and computer science I still find as an amazing presentation.

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I have been watching your lectures for last couple weeks. Honestly, it is wonderful lectures.

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THANK YOU SIR! The book I'm using is using such odd examples and ways of explanation. My teacher doesn't even complement the book, he's just spitting a chaotic lecture expecting us to make order out if it. Cheers for this, helps a ton!!

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He is such a genius...and he actually makes "hard concepts" make sense....and he is great to look at 🙈🙈💓💓💓

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Wow! for the first time I am understanding this thing. Thank you very much for your simple and clear explanation.

[@MrPhengharry95]

Thank you so much pfs Leonard, I wish I had know this before I took my satistics class. Now I'm 4th year student and being revising all required basis include satistics. Actually I can just read my boring textbook again but that would put me to sleep so I decided to watch your course. The best thing is that you help me understand stuff that I can do before but never understand why.

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My favourite maths Tutor. Thank you, Sir

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Professor Leonard, you were correct! it's occurrences and not occurences like your students said.

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I feel more confident that I will be passing my Stats class. THANKS PROF. LEONARD!!!!!!!!!!!!!!!!

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This guy deserves a teacher of the year award

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I just really had to get it out of my system and let you know that some of your students provided the wrong answers. LOL I'm following along and doing the math. You should double check, so that they know if they are doing the procedure correctly. Thanks for the videos they are great! I realized that I cannot recall any of the content my professor went over. This has been a great help!!! Thank you for simplifying this course!

[@ayseak_]

Watched the popup ad till the end in gratitude for such an interesting lesson)

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Pure gem being an mathematics teacher i used to follow your lectures specially calculus part a big thanks

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you should make workout video....

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how chek work out

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this is a mental workout video.

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great job Prof B. Leonard. Makes me want to go on with stats doing other topic now. Looking forward to smashing your calculus topics in the holidays.

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I like your lecture and i will try to improve my lecturing method.

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preparing for my midterms. have watched all your earlier uploads in stat till now and oh wow, i could confidently say that you were the one who taught me 95.9% of the things that i should know in this course so thank you so so much!!! self-study doesnt work and my prof’s teaching style doesn’t work for me either.

[@soumilyade1057]

20:20 flipping a coin three times is an experiment or procedure. The occurrence of at least one one head or the occurrence of three heads - these are the events. The occurrence of a head is what we are looking for, as you explained.

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I feel utmost thrill and joy in learning math the way u teach...thank you so much...

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preparing for my stats exam tomorrow, your lectures are a create help for revision, subscribed

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Awesome. This is just outstanding buddy. Simply awesome.

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9 YEARS LATER, thank you professor!

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I love you mr leonard this video helped me so much im crying

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I was gonna say,, as a future Math Teacher,, Thank You!!

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+Le mish Allah Ackbar

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I wish this was around when I took statistics. Probability was one of those things I had a hard time understanding at first.

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I wish my statistics professor is like professor Leonard who have a good sense of humor and knows how to make the whole class more entertaining to learn and not so vapid.

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Thanks a lot,sir. I am into Data Science and these lectures are helping me a lot.

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I thought Math Statistics was boring and was going to be my failure in college....Well, I might be wrong. If you are willing to teach, I definitely can learn Math all day, every day! Easy on the eyes and brain!!! Love the breakdown into common language!!

[@olydnk5270]

Very helpful thanks. The spelling is occurrence, with 2 r's and a 'e' instead of 'a'.

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Thanks a ton professor! You define an 'ideal' teacher.

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Well explained concepts, easy to follow and understand. Thanks Prof!

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i just love this guy.......havnt watched but happy already

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Amazing, enthusiastic and dreamy too :-)

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love this professor. these videos will help me to pass the final exams. thanks :)

[@alialhadithy6590]

Is this the same as probability andstatistics and if so ..is there a playlist on it? If not do you have a playlist for P&S? THANK YOU PROFESSOR

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I would certainly be understanding biz stats much better if you were my instructor. Shoot. THANK YOU! You will most def save my life in this summer semester (my first semester back after 5 years due to a near-fatal car crash).

[@jamalali8067]

Thank you sir for your lecture. Due to your lectures I am gonna pass my Stat exam :-) Thanks again

[@DCee93]

He should come out with some merch (gym merch?).. a website.. the business possibilities are endless because of his unorthodox approach to teaching.. can't believe he hasn't jumped on it yet. Especially being located in cali

[@ArtistsAlchemist]

I wish u were my teacher!!!!! U saved me!!!

[@rocketrider1405]

At 28:24 you use the word 'odds' incorrectly ( I think !!!) When you have a batting average of 0.333 (from 8/24) that is a probability, but expressed as odds the ratio 8/24 becomes 8/16. 8 hits divided by 16 not hitting. Probability and odds are not the same thing. Thanks for your videos, you are really good.

[@davidvalle3068]

This guy is going to save my life!

[@vidyutdutta7663]

one thing that i want to share is ,when in a coin flip the number of outcomes is equal to 2(head/tail) but when we flip it 3 times the number of outcome is given by 2(i.e outcomes)^3,i.e 2 to the power (the # of flips)

[@rukevweohwojero2396]

IS it only me? I just had to drop a comment, professor, you board is dark and because of that, I hardly could see your writing, illumination is low, and you seemed like the only person that could help me,sobs!! Now I am on my own

[@iLoveTurtlesHaha]

The writing is clear to see. What resolution are you watching it in? Make sure to watch in 1080. You should know how to do that if you're on KZbin.

[@det2552]

amazing teacher ! Makes this so easy to understand