I wonder if he read through all the comments or not , but I just want to let Mr.Leonard that you are the best math teacher I've ever met. You are a talented and very kind teacher. I wish I have seen your videos sooner because I would have done better at math in high school. As now , I am a freshman majoring in business and I am struggling in Statistics because my professor seems not to devote himself into teaching at all. My professor covered the probability part for only about 3 hours for both the lesson and exercises, in contrary, Mr. leonard spent almost 10 hours for this chapter. Thank you so so so much for all these videos ... I know I will survive my up coming midterm. ( a comment from 5000 miles away )

Where most lecturers leave out vital key elements that pertain to understanding, you seem to know what confuses a student and you cover those. Thanks for the Vids. South Africa thanks you.. : )

I'm currently doing my nursing degree via distance learning and have stats this semester. Initially, I was feeling like the semester was going to be a disaster. There was no instruction from our professor other than read the chapters and do the review questions. Reading my stats textbook was like reading a foreign language. Then someone told be about your lecture videos. What a lifesaver!! Your teaching methods are awesome, taking examples from everyday life so that the student can relate to the information. And lots of humour to make it enjoyable. Thanks a million for making these available!!

I just gotta say, It is so awesome when a teacher has such a cool, fun personality and you can tell that they enjoy what they do. You are great at what you do and its obvious that you have fun while you do it. You are really helping us out professor Leonard. Statistic and other math subjects are pretty hard for a lot of us, we appreciate that you are a teacher because without you a lot of us would have failed or be failing. Teacher of the year right here :)

Wow he's a lifesaver. I was struggling until I saw this. Great Teaching.

OMG.. Im glad I found this.. Much better than my teacher.

Every student deserve a professor like him.

I've had that confusion about the 'and' term since 7th grade. 9 years later, I'm 22 and today because of you, I finally understood it crystal clear. Thank you so much. You're an amazing teacher.

Thank you Mr. Leonard for posting the classes. It really helped my understanding of the concepts. The explanations and samples are easy to understand. And helped me to go through my class much easier.

You have a great teaching style Mr. Leo. Incredibly clear and approachable explanation!

Thank you Professor Leonard.You are single handedly helping me fulfill my life long term goal of becoming a Nurse. I am utilizing so many of your videos. You are so amazing at what you do! Thank you again!

I wish we could have such a talent in Pakistan as Professor Leonard is. You have a charismatic professor. i have never been impressed by a teacher like. My midterm exam is two days later,,, I wish i could reach your lectures a month earlier.. I pray for your looooong life, prosperity, good health and happiness for ever. Allah give you more strength to preach the noble cause. would love to meet you ever,,,,,.....

All the way from Florida.......THANK YOU!!! Finally someone who doesn't make stats seem like an alien language! This is my third attempt at the class, and the first time I understand it! You're awesome. Wish I lived were you taught. I'd never take another instructors math course again!

Thank you Professor Leonardo! I didn't have any idea how to do any of my homework. Now I completely understand.

I am in my masters of engineering (they have now combined bachelors with masters, have no choice) and i have avoided learning probability since first year (4 years now) because they were hopeless at effectively teaching the content. so i was quick to dismiss this topic.I would go to the exam without even bothering to learn it. now, i have to do a unit that is pure probability and statistics, and you SIR are a legend. LEGEND I SAY! you lay the foundations very well, something alot of professors cant do. explanation and examples are perfection!

I though I already knew all of this stuff but you taught me something that I subconsciously assumed but didn't actually know. Namely the the difference in meaning of "and"

This is a wonderful video. Thank you for making this available.

Amazing lecture, im taking probability and statistics for engineers this semester in college, and this really helped me ALOT!

I have always struggled with the "and" rule and with the binomial distribution. You have provided the best explanations ever. Thanks for your lectures.

You helped me with Algebra and now I’m coming back for Stats! I truly appreciate you Professor!!

Thank you for having this up. I feel like I'm taking your class and doing the HW for my professor lol Your explanations have helped so much! (from an non-traditional 30+ old student)

I wish I watched your videos earlier when I was in A level I'd have gotten an A but since God has he's own timing I thank God that I'm watching them now. They've helped a lot your the best

Thank you Professor for such a great and clear way of teaching.

you made things pretty simple , hope you cover a lot more topics in discrete maths

Thank you for your good lectures and keep up the good work. Please make your writing big so we all and sundry can see clearly.

You are a great teacher. I wish I got these videos when I was a student.

i dont know what would my math life would be with out you!!!!!!!!you are perfect!!!!!!!!!!!!!!!

In a quantum mechanics class and this helped clear up so much. Thank you!

Some people were really created to deliver....warm thanks from Namibia

you re awesome !!A big thank you from a Morrocan living in montreal . I wish I can send you a gift or something

You helped me get a 103% on my first exam so I’m hoping I can get an A on my next one too :) This new material is more difficult but you’re really good at explaining these concepts, thanks!!

I wish you have upper level math videos. This stat 1 video is helping me in probability and random variables right now.

I now have a good grasp about this topic coz of this video so thanks once again!

The best, I owe my degree to you sir

This guy deserves more subscribers!!

You are a great teacher!

Thank you. Looking forward to the next one. I need to know how to calculate probabilities of drawing a specific card in multiple attempts (or a collection of different cards within x trials). It would improve my decision making when playing strategy games involving probability. I want to apply this by calculating development card probabilities for the game Settlers of Catan. For example; I would like to draw 3 knights and a victory point with 4 draws (in no specific order). What is the probability of that happening? There are 14 knights and 5 victory points in a 25 card development deck.

Excellent presentation !

Sir u are much better than any other teacher

This is best tutorials...

Holy muscles :0 ... Good lecture too, very helpful.

Incredible explanation sir!

infact i wanna be like this man so that if two of us exist we can change the world,thanks a lot prof i am indeed greatful

this is amazing thank you .......i understand now God bless you :)

you are simply the best..

39:53 Sir, I think you meant to say "dependent" there.

the best of the best .Thanks.....

this helped so much

YOU ARE PHENOMENAL. What I would do to have a professor like you. You are constantly reinforcing the concepts and just teaching in a way that is so easy for me to grasp. THANK YOU THANK YOU SO MUCH. Ive wasted a lot of time trying to intuitively grasp probability and this has made it so easy. only complaint is your muscles distracting me.

I'm in my MPH taking Biostats online, wow what a freakin challenge. Your lectures help me understand more in depth in a fun way. I'm hoping you have lectures to take me all through Biostats. Thank you so much. If you have any advise to overcome the intimidation of Biostats, I'm all ears.

Thank you very much

GREAT!

Professor Leonard explains better than my lecture

This is awesome

This is the best statistics lecture i have ever encountered. very explanatory. please can i transfer to your school and major in statistics?

i be behind my computer screen like "PROBABILITY OF B!!!!!"

Thank you very much sir ..........................

I also drive a black Audi 2005 S6 cheers from New York.

Curious idea about one of the concepts. You were speaking about rolling a Die giving independent outcomes in the case P(2|3). Is it really independent though? If you continue to roll the die 100 times for example and you have yet to roll a 2, the chances of rolling a 2 are becoming more and more likely due to the Law of Large Numbers. How does that work?

Thanks a lot

Hi Professor, I have gone through some of your statistic videos .They are really very nice and understandable for any lay man.I am actually stuck with Bayes theorem .I could find proper explanation for Bayes theorem anywhere.Could you pls post a video for same as it will be very helpful to me

please help,i am struggling to this question. a person applied to 3 companies. probability of obtaining offer A 0.4., B 0.3 , c 0.6. assume three are independent. what is the probability that the person will receive a job offer from company b only

excellent

Thx.

Good lecture, I am taking Stat now, I understand your lecture better that my professor. I wonder if you teach College Algebra for my daughter.

Is the formula for the prob. of selecting 3 Blue marbles w/o replacement P(Blue and Blue and Blue)= P(B).P(B|B).P(B|B|B) ?

is multiplication rule related to permutation? Thanks

10years gone..and we still here🥰📌

solid body sir very........... good lectures

This prof is too good for a small city college, he needs to be teaching UT Austin or Berkeley ....but alas those universities is filled with profs teaching who have no interest in teaching and only want to do research on esoteric theories

please can you tell me best writer names of maths and stats books.

could you please add subtitles to these videos... thanks for these awesome lectures

I'm curious as to why, when regarding conditional probability for independent events, isn't P(B given that event A occurred) isn't equivalent to 1- P(A). It made sense for that to be valid, but in practice, it isn't a valid statement. For example, P(2 given that 3 occurred)= 1/6, but if there independent shouldn't it be 1- 1/6, but I guess that rule, logic, only applies to dependent events and not independent events. Independent events are I guess separate events while dependent events are conditioned upon what happens during event A, thus it'll be 1- P(A). I think I might've answered my own question.

How much do you bench?

Your the best!!! With your help, I might actually get an "A" in stats!!!

Godlike

I love such amazing Professor ,you're really awesome,but when we say P(Gand R) , we must say that its P(1st green and the 2nd red or 1st red and the 2nd green)so that the order is much important when the colors are distinct ,and thus P(GandR)=p(G).p(R/G)+ p(R).p(G/R)

I am a middle schooler so I have a question. How long is a college period?

Independent= with replacement. Dependent = without replacement.

that moment at 58:01, when his students were not able to multiply two fractions. That was very cute. And it's quite ironic that students sitting in a lecture on calculus are having trouble in multiplying two fractions.

Drop that biceps routine

Man, I messed up when I took Probability and Random Variables without taking Statistics first.

20:21 Conditional Probabilty

we're close to 2024 and i'm watching it :)

Audi a good car!Expensive parts and repair though.

There are 50 red and 50 black balls in a box, When you randomly pick two balls without replacement then what is the probability of second ball being black given that first ball is red? can anyone pls answer to this?

You are best ....but I can't be in your class...

can someone explain the difference between mutually exclusive and independent?

if given the chance to be his student, i'll be punctual in class, and be attentive to the lessons with patience, but his body is so destructive. sounds gay! IKR! you're a total package professor

Note for self: 42:39

Does anyone else keep getting distracted by his muscles? No? Just me? Okay.

isnt it suppose to be P(QIQ)=1 ???

Me and my friend failed our first test after watching this. Thanks

57:42 higher math!!

I'd like to pay you for helping me out in Math class, this is too good not to pay for! What's your square cash, so I can send you some money?

one person didn't wave his hand and didn't feel good about this

I have to samebook pearsonmymathlab.

occurrence

I know plenty about you. You are handsome.

He repeats a patently false statement over and over within the first several minutes. The word "and" has exactly the same meaning in both formulas, simply that "both" events are true. For instance, if I roll two dice and ask "What is the probability of rolling a 5 on the first die or a 3 on the second die?", then I would use the Addition Rule and calculate P(5 on 1st) + P(3 on 2nd) - P(5 on 1st and 3 on 2nd) in which case the word "and" clearly refers to two different (in this case successive) trials. I wouldn't trust the information given in this lecture.