I am 60 years old and because of this video I not only refreshed my probability concepts but now have better understanding of why some formulae are there. Now I can die peacefully! Ha ha ha ha ha Thanks for the great videos.
I just wanted to let you know how much I truly appreciate the way you teach. Your passion and kindness make each lesson so special, and your support has been incredibly helpful. I’m grateful for everything you do and the positive impact you have on my learning. Please continue to inspire us with your wonderful teaching!
The way this video teaches, I can understand following concepts Intuitively. - Conditional Probability: -- P(B | A) = n(B) / n(S) = n(B n A) / n(A) [ Venn Diagram Sample Space S consideration helped ] - Permutations ( n! and P(n,r) ) -- n! -> Literarlly decrease of available options as order is created : 10! = 10 x 9 x 8 ..... 2 x 1 -- P(n,r) -> Literally to stop ordering of whole 'n' numbers : P(10,3) = 10 x 9 x 8 = (10 x 9 x 8 x 7! / 7!) = 10! / 7! = 10! / (10-3)! - Combinations (1 and C(n,r) ) -- 1 -> Combination of all numbers lol : 1 = C(10,10) = 10!/(10!*1!) -- C(n,r) -> Dividing P(n,r) with Concerned numbers r permutations ( to avoid accounting for them) : C(10,3) = 10 x 9 x 8 / 3! ( Where 3 ordered numbers complete permutations is 3!)
When I was a high school student and we had a statistics class, I was very absent-minded. Once I declared my love to the most beautiful girl in school. She looked at me with those green eyes that pierced me and said very seriously: "You have a 0.000000001 chance with me." In any case, she repeated a lot of zeros. I opened my eyes wide and jumped out, shouting with happiness, "I have a chance, I have a chance."
This is by far one of the best educational videos i watched int he recent past. He is very good at explaining what each formula really represents instead of blindly applying them. Fantastic!! Keep up the good work.
I went through a whole semester in secondary school not really understanding this. Wish you were my teacher then. Excellent explanation of the basics! I hope you will also cover linear algebra in the future.
Your videos are fascinating and easy to understand. Please do a complete set of probability videos starting from basic concepts to moment generating function and then finally to the distributions.
I got really interested in calculating probability for some game scenarios recently and this has been quite helpful! And helpful in realizing I need to find additional scenarios to practice with in order to be more certain with the outcomes I have (and that they're appropriate for the given scenarios I'm working on). Thank you!
Is this an accurate distillation? 1. Experimental probability - percentage of X in results found 2. Theoretical probability - percentage of X in results predicted 3. Set intersection - percentage of members in two or more sets that are the same 4. Conditional probability - percentage of times event B follows event A 5. Multiplication law - percentage of times events A and B both happen 6. Permutation - given N things in a sequence, the percentage of one permutation 7. Combination - given N things in any order, the percentage of one permutation 8. Continuous probability distribution - as for example in bell curve 9. Binomial probability distribution - percentage of a success in a N trials 10. Geometric probability distribution - percentage of first success after N trials.
Thanks you so much Professor, I am follow you from Catholic University of South Sudan second year student department of CRE and Commerce. 17:19 ❤ 31:5531:55
Quick comment this: at 28:00, there's a typo in the audio. That said, this has been one of the most fantastic videos I've seen on the topic, but then that's what I say of every video of yours!!!
@@avidreader100probability is more akin to how likely is X to happen in the future, while statistics uses mathematical theories of probability sure but then goes off the f’ing deep end
Thank you for sharing such an informative video. As a teacher, I greatly appreciate the effort and quality you’ve put into creating this video. May I ask what devices or equipment you used to produce this video? It would be helpful to know for similar educational purposes.
Awesome video! There is one thing bothering me though : for the exercise about the probability of 1 kid on the team I did it right but was also curious about multiplying the probabilities : 11/18 * 10/17 * 9/16 * 8/15 * 7/14 * 7/13 But this doesn't work (~2.9%), I don't understand why though.
How to solve it was by doing each one with its own combination so you would do (C7,1) C11,5)/C(18/6) and the ones on the top once you find their combination you multiply both of them to get the answer for the numerator since there are 2 combinations to solve on the top. It just looked different the way he wrote it down
I have a query on the example of multiplication law. If in conditional probability, denominator is n(A) instead of n(s), then why for drawing second king , denominator would be 51 ? It should be 4 as per the formula of conditional probability ? I am considering only the formula.
So far, I got to the point 4 and find this video immensely helpful. In the “Must know 4” I do not see any relation between the Veen diagram in the definition and the provided example. The denominator n(A) implies that A in provided example is a total number of females. So, B is a total number of males. What is than ‘A and B’? Is there any way to create a Veen diagram for the example?
2:40 I'm not convinced. Yes, you flipped the coin 100 times and got 50 tails, but as soon as you flip it again then your result will not be 50%. It will be either 50/101 or 51/101. So what is your justification that the experimental probability approaches the theoretical probability?
Read up on the law of large numbers. It’s about convergence to the theoretical probability for a large number of samples. Yes you might see 50/101 but continue and you might see 500/1001 and then 5000/10001. None of those values is exactly 50% but as the sample size increases, the probability is converging to 50%. The delta between the experimental probability and the theoretical probability decreases as the sample size increases, and the delta converges to zero.
How do solve this problem? Lets Make a Deal has this game: roll a die and try to get a total count of 10 or more on 4 rolls. 46:11 . If you do, you now have 3 rolls to get 10 or more. If you sicceed, you know have 2 rolls to get 10 or more and win the grand prize. What is the probability of winning the grand prize?
Anyone know a good calculator app I can download on my IPhone, ahere I can realistically do these calculations with numeruous elements on them? Thanks in advance!
Question. What is the probability of getting A jack and a black card from a deck of well shuffled 52 cards This problem is of 10th class Pls give me the answer with a well explanation
I am 60 years old and because of this video I not only refreshed my probability concepts but now have better understanding of why some formulae are there. Now I can die peacefully! Ha ha ha ha ha Thanks for the great videos.
👍
😊
Who cares if you're 60? That wasn't relevant.
God bless you!
@@jimswenson6131 still has years left to live anyway
I just wanted to let you know how much I truly appreciate the way you teach. Your passion and kindness make each lesson so special, and your support has been incredibly helpful. I’m grateful for everything you do and the positive impact you have on my learning. Please continue to inspire us with your wonderful teaching!
The way this video teaches, I can understand following concepts Intuitively.
- Conditional Probability:
-- P(B | A) = n(B) / n(S) = n(B n A) / n(A) [ Venn Diagram Sample Space S consideration helped ]
- Permutations ( n! and P(n,r) )
-- n! -> Literarlly decrease of available options as order is created : 10! = 10 x 9 x 8 ..... 2 x 1
-- P(n,r) -> Literally to stop ordering of whole 'n' numbers : P(10,3) = 10 x 9 x 8 = (10 x 9 x 8 x 7! / 7!) = 10! / 7! = 10! / (10-3)!
- Combinations (1 and C(n,r) )
-- 1 -> Combination of all numbers lol : 1 = C(10,10) = 10!/(10!*1!)
-- C(n,r) -> Dividing P(n,r) with Concerned numbers r permutations ( to avoid accounting for them) : C(10,3) = 10 x 9 x 8 / 3! ( Where 3 ordered numbers complete permutations is 3!)
When I was a high school student and we had a statistics class, I was very absent-minded. Once I declared my love to the most beautiful girl in school. She looked at me with those green eyes that pierced me and said very seriously: "You have a 0.000000001 chance with me." In any case, she repeated a lot of zeros. I opened my eyes wide and jumped out, shouting with happiness, "I have a chance, I have a chance."
So she told you that your chances were > 0? And you didn't take her up on that??
It's that one Dumb and Dumber meme but irl lol
The same probility of being elected as USA president
Ur harious dude.
Well explained. I couldn't get my head around it when in school., but now I'm enjoying it. Thanks for sharing.
There is no one ever have explained this topic as clear as you did 🎉🎉
Thanks a lot professor for your efforts I follow you from Algeria.
Yours are such thorough explanations, JensonMaths; unhurried, calm and always interesting.
This is by far one of the best educational videos i watched int he recent past. He is very good at explaining what each formula really represents instead of blindly applying them. Fantastic!! Keep up the good work.
I went through a whole semester in secondary school not really understanding this. Wish you were my teacher then. Excellent explanation of the basics!
I hope you will also cover linear algebra in the future.
Your videos are fantastic. Thank you so much for your efforts! Why couldn't math have been taught like this when i was at school!
Thanks, all the important concepts of probability is now refreshed!
As noted by others, this video a model of clarity It don't get much better than this!
You should do a video on polynomials
I dont know if it is because ive learned this before, but the way he explains is perfect to my brain
I love this series please upload more top 10❤️
Your videos are fascinating and easy to understand. Please do a complete set of probability videos starting from basic concepts to moment generating function and then finally to the distributions.
Excellent..... your video are very interesting...keep it up... I'm from Pakistan 🇵🇰.... and appreciate u.❤
thank u so much I have to master probability before my upcoming university entrance exam
I got really interested in calculating probability for some game scenarios recently and this has been quite helpful! And helpful in realizing I need to find additional scenarios to practice with in order to be more certain with the outcomes I have (and that they're appropriate for the given scenarios I'm working on). Thank you!
This is an incredibly well made and intuitive video, kudos to the author.
I became addicted to your math video i really enjoyed them because u made everything to be understood easly thank you❤
Thanks you so much Professor, I am follow you from South Sudan, second year student in Catholic University of East Africa ❤❤ .
Just amazing clarity and simplicity. Uncluttred and perfectly paced.
👍
I have math comp tmrw and this is so useful thx!
Is this an accurate distillation?
1. Experimental probability - percentage of X in results found
2. Theoretical probability - percentage of X in results predicted
3. Set intersection - percentage of members in two or more sets that are the same
4. Conditional probability - percentage of times event B follows event A
5. Multiplication law - percentage of times events A and B both happen
6. Permutation - given N things in a sequence, the percentage of one permutation
7. Combination - given N things in any order, the percentage of one permutation
8. Continuous probability distribution - as for example in bell curve
9. Binomial probability distribution - percentage of a success in a N trials
10. Geometric probability distribution - percentage of first success after N trials.
Thank you
factorial is product... not a sum... if you got confused by that... circa 22:42, in the video.
Just one word, Beautiful!. Your explanation is super.
Thanks you so much Professor, I am follow you from Catholic University of South Sudan second year student department of CRE and Commerce. 17:19 ❤ 31:55 31:55
This video is exactly what I needed. Thank you!
You are good in teaching sir
Thanks you so much Professor, I am follow you from Catholic University of South Sudan second year student department of CRE and Commerce.
My combinatorial calculos and probabilities exam is in 3 days, ty so much bro
Quick comment this: at 28:00, there's a typo in the audio. That said, this has been one of the most fantastic videos I've seen on the topic, but then that's what I say of every video of yours!!!
Appreciate your videos well explained and clear watched every top ten video u made plz make statistics next
Thanks you so much Professor, I am follow you from Catholic University of South Sudan second year student department of CRE and Commerce. 17:19
Thank you sir for your impeccable explanations !
Thank you for this it really helped me a lot!
❤ 18:11 *affect NOT effect - "The occurrence of one event does not *affect the occurrence of the other." ❤
Good thing no one is here to learn about grammar. I could care less how many grammar errors are in this video. He is really breaking this stuff down.
Great! I refresh many in just 50!
Brief and nice, sir. Thank you.. S Chitrai Kani
U should make a must know 10 on statistics
I hope u read my request teacher :)
Just requesting, I want to see the must know 10 on statistics
@@avidreader100as someone who took “probability and statistics” three times (failed twice), I assure they are not the same.
@@avidreader100probability is more akin to how likely is X to happen in the future, while statistics uses mathematical theories of probability sure but then goes off the f’ing deep end
Thank you very much ....keep doing other videos pls
clean and instructive style.
congrats.
22:41 Sum?
Very nice explanation
Thank you for sharing such an informative video. As a teacher, I greatly appreciate the effort and quality you’ve put into creating this video.
May I ask what devices or equipment you used to produce this video? It would be helpful to know for similar educational purposes.
Thanks you so much Professor.
Well presented video! Subscribed
Thanks my teacher 🎉
Awesome video!
There is one thing bothering me though : for the exercise about the probability of 1 kid on the team I did it right but was also curious about multiplying the probabilities :
11/18 * 10/17 * 9/16 * 8/15 * 7/14 * 7/13
But this doesn't work (~2.9%), I don't understand why though.
How to solve it was by doing each one with its own combination so you would do (C7,1) C11,5)/C(18/6) and the ones on the top once you find their combination you multiply both of them to get the answer for the numerator since there are 2 combinations to solve on the top. It just looked different the way he wrote it down
Great lesson as always!
Awesome video. Please do one about Matrix Algebra
I have a query on the example of multiplication law. If in conditional probability, denominator is n(A) instead of n(s), then why for drawing second king , denominator would be 51 ? It should be 4 as per the formula of conditional probability ? I am considering only the formula.
Great tutorial on prob
Such a beautiful explanation on Probability~ may I know what kind of writing tools used in this video?
Great lesson. You are the best . What tools are you using to write on the board .. Thank you!!!
Please do this to all general topics in Maths - trigo, geometry, PnC , Calc-1/2 , Lin Alg , Disc Math....
great video fr perfect examples eeverythiny you should be = 😎
Waiting for next one
😊
You are a lifesaver! 🙏😌
So far, I got to the point 4 and find this video immensely helpful.
In the “Must know 4” I do not see any relation between the Veen diagram in the definition and the provided example.
The denominator n(A) implies that A in provided example is a total number of females. So, B is a total number of males. What is than ‘A and B’? Is there any way to create a Veen diagram for the example?
2:40 I'm not convinced.
Yes, you flipped the coin 100 times and got 50 tails, but as soon as you flip it again then your result will not be 50%. It will be either 50/101 or 51/101. So what is your justification that the experimental probability approaches the theoretical probability?
Read up on the law of large numbers. It’s about convergence to the theoretical probability for a large number of samples. Yes you might see 50/101 but continue and you might see 500/1001 and then 5000/10001. None of those values is exactly 50% but as the sample size increases, the probability is converging to 50%. The delta between the experimental probability and the theoretical probability decreases as the sample size increases, and the delta converges to zero.
Have you done domain and range of a function?
Thank you for sharing.
You could also put this one and the matrices/vectors/Linear algebra videos under a playlist called "Mathematics for machine learning"
amazing content. thanks a lot.
can you tell me what pen-tab/tablet and software you used for this tutorial?
Its awesome, Could you please do one on Statistics
Fantastic explanation...Thank You,Sir....
Love it, Thanks!
Excellent !
thank you this was amazing
How do solve this problem? Lets Make a Deal has this game: roll a die and try to get a total count of 10 or more on 4 rolls. 46:11 . If you do, you now have 3 rolls to get 10 or more. If you sicceed, you know have 2 rolls to get 10 or more and win the grand prize. What is the probability of winning the grand prize?
excellent. however, you say "sum" @22:45 when you meant product.
it must be 1/51 as one card 7 of red heart is already chosen ?
Thanks for your video.
Thank you for this information
I respect this man
Great Job
Good job ❤❤
Large and clear!
Amazing 🎉🎉🎉
Top ten matrices
Can I ask about the application you use
Can you make a series about information theory ?
please do one on statistics
Anyone know a good calculator app I can download on my IPhone, ahere I can realistically do these calculations with numeruous elements on them? Thanks in advance!
PS loved the video btw!
Do one on Algebra next please
Sir namaskar
On which app u r writing?
Plz help me regarding this I will be humbled...
You should do on statistics
Please we need video about applications differential and statices
excellent from me as feedback
❤PLEASE❤ MAKE Video on class 11th NCERT Maths.😊
Sir please Function and relation next. Then Permutations and Combination chapter next after that
How prob.(flipping tails ) = 3/10
in 10 flippings of a coin?
Thanks ❤
Please make a video on stats❤
Question.
What is the probability of getting A jack and a black card from a deck of well shuffled 52 cards
This problem is of 10th class
Pls give me the answer with a well explanation
Thank you
Thank you