Probability Formula Sheet: bit.ly/3zb22rW Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: ua-cam.com/video/lWAdPyvm400/v-deo.html
Good day Sir. Thank you for all you do. Your channel have been of immense help to me various ways, more help than my school lecturers ever were. Thanks so much, may God multiply the blessings in your blessed life on my behalf, Amen. Please Sir, I need your clarification on question 2 B 12:18 . To me, you are a demi maths god but I beg to disagree with you on it. In my thought, it's either you want to test if we are paying detailed attention to the formula or you got it wrong. From what I have learnt from you and what I know in probability, the solution should be as follows: P(Br|M) = 70/90 = 7/9 Or P(Br|M) = P(M and Br)/P(M) =(70/200)/(90/200) = 70/90 = 7/9 = 0.7778 = 77.78%. Please correct and clarify me if I am wrong. Please tag me when you do. Thanks
Dude, your videos are always so clear and to the point. You're a godsend. Crazy how it doesn't even require any fancy animations or anything, just clear examples and explanations. You are a fantastic teacher!
Me spending math online class for 2 periods 😶 vs me spending math class with this guy 😲. . . . . . . . . . . . . . . THANK YOU FOR MAKING MY LIFE EASIER!!! I DON'T UNDERSTAND ANYTHING THAT I LEARNT DURING ONLINE CLASSES 😭
I don't know why I pay tuition fees for my university faculty. If i don't understand anything at the end of the day, i have to come to this UA-cam channel and make a solution. And things are very easy to understand. If The Organic Chemistry Tutor had been my university faculty, I probably wouldn't have had to struggle so much. May Allah grant you long life❤️❤️❤️❤️
Omg THANK YOU SO MUCH FOR THIS LESSON. I literally sat in my math class for an hour and 40 min straight and I can't understand anything that my teacher is saying. Literally your video is less than 20 min and I understood right away!
Not everything is fine for me it's because other mathematic topics suit my ability. Those my friends are nice people they the other ones don't go to my college like Zachary his classmates probably now go to any type out there.
now, 21/8/2024, I'm about to have mid term exam tmrw, binge watch every damn clip about probability and statistic like you did, may the force be with me >:D
Thank you thank you thank you! Even after watching my lecture videos and reading my textbook, I was still so confused. This saved my life. You're a godsend!
Circle A=150 total. Here circle A contains 150+30=180. Start with the shared portion(intersection of A and B), then subtract that from the 150 & 180.... but I could be wrong. I came here to learn from the master.
I agree--the discrepancy really threw me off. Wording of the question should change, if 150 is not TOTAL number of students taking Algebra, but 150 taking ONLY Algebra. Weird that I'm writing this 2 years later.
Thank you very much for your video. Now I clearly understood conditional probability with Venn diagram amd Contingency table. Once again I am so glad and thank you very much
I saw this on a friend's status, i immediately came to download it and I've been listening for more than a month now and everytime i listen, i get goosebumps. This is wonderful. God bless you for such a wonderful ministration
OMG BETTER THAN MY MATH TEACHER. SHE HAD NO IDEA HOW TO EXPLAIN THE FORMULA AND OUR TEST IS TOMORROW, AND YOU LITERALLY JUST SAVED MY REPORT CARD.. TYSM!!!
Your videos helped me so much! Thank you for clarifying and making it easy to understand. Your videos helped me understand chemistry a lot better too lol thanks again! 🤓
At 5 min, The question says 150, but on your vann diagram we now have 180 students taking algebra, Please explain further. Isn't suppose to be 120 and 30, vs 150 and 30?
No, he wrote down P(A) and. P(B) down without subtracting P(A n B) as is typically done. So... he didn’t have to subtract and then add it back in later.
For the probability of students taking Algebra, is it only 150? Can it be 150+30, since the 30 students are also taking Algebra? I'm a bit confused because the question is about students taking algebra and not "Algebra ONLY". I hope you can answer my question. I'M A FAN! God bless.
I was also confused by that, but I think he made a mistake; the algebra column should be 120, and the chemistry column should be 50 (I basically took away 30 from the initial amount). The intersection would remain 30. The answers makes more sense if the Venn diagram was filled with these numbers.
It proved to be an important point of discussion. I was thinking that same. 150 is the number of only Algebra. 180 is the number of Algebra students total.
One thing that bugs me: If 150 are in algebra, and 30 are in algebra AND chemistry, then wouldnt the probability of selecting a student in algebra be 180/500 = 0.36 ? Then the P(C|A) = 30/180.
B) why is the divisor 200 when we are only considering male with brown eyes? compared to C) where you only considered having 170 of the female that it has brown eyes? should that not be 200 as well like you did in P(M & Br)?
Thanks a lot for comments like this. I thought what I knew was wrong. I had just taught that part to someone and was alarmed when I saw the vid that I might have taught it wrong. Phew.
A = 150. A and not B = 120. I wanted to clarify that, but yes, you are right that in a Venn Diagram, we usually split the values by shaded regions, and thus the "A and NOT B" region should have had 120. While A = A and NOT B + A and B = 150.
I love your explanations and ypur channel. But I think in the 1st example you should from 150 substract 30, because these 150 include All students that have Algebra and they also may have Chemistry. and 150-30 it will be 120 students that take Only Algebra. What do you think about it?
The picture isn't drawn quite clear, it'd probably better to put numbers like 120/30/50 i.e. labelling the mutually disjoint parts, I believe it's more intuitive and established notation if we put numbers on Euler-Venn diagrams. However "the student is taking Algebra" should not be interpreted the exclusive "Only Algebra" so that calculation is correct, whereas if we question the probability of Only Algebra => it will be 120/500 for sure.
150 are enrolled in algebra, 80 enrolled in chemistry. Out of those 150+80=230 students, 30 are enrolled in both algebra and chemistry. That's what was meant I think.
The figure on the left should be 120 and on the right 50. The total number of students taking algebra is than 120 + 30 = 150, etc. This is the conventional way of drawing Venn Diagrams.
Thank you soo much, truly u have made it very clear for me, bkoz your explanations are exactly Wat I needed to hear thank you so much sir.... May God bless you 💚💓💚
Thank you so much! I'm not that good in math but I understood your explanation than my own teacher. The video is great and easy to understand! 😍 SUBSCRIBED
This is a fantastic explanation! So can we think of conditional probability as 'changing' the sample space to a new base? For example if we have a 'given it has brown eyes' the new sample space is the column Br and we have to compute any other conditional probability by referring back to this sample space instead of the global sample space.
I don't get something. At (12:16) you compute a union probability, which can be calculated by multiplying the individual probabilities of the events right? Thus, Male bird (90/200) * brown eyes (170/200) = 0.38, not 0.35.
5:07 there should be only 120 students taking algebra. If we say 150 students that means we have included 30 students taking both courses. Vein diagram is wrong, 30 should be deducted from 150 and 80 to get exact number of students taking Algebra and chemistry. If am wrong correct me.
sam samson it just depends on you read the question, however i believe the person created this question meant that the 30 isn’t included in the 150 and 80.
If the 30 students are separate from those who take only one course, then the given problem needs more clarification. If we base on the problem itself, the Venn diagram is wrong. The reason is that, the 30 students are counted twice.
I am not sure that your Venn diagrams are correct. A should have 120 in the big circle (representing students taking Algebra only) and C should have 50 (representing students taking Chemistry only). (edited) People are praising the video however Venn diagram is drawn wrong. This would be really confusing for someone to try to relate the diagram with the question.
A cannot have 120, because in that way the students taking Algebra and Chemistry will be ignored... There was never said in the question that *"A"* is *"Algebra only"* or similarly, *"C"* is *"Chemistry only".*
@@m.ehsaan. that it simply wrong, students taking algebra and chemistry are not ignored as they are still in the middle which is the intersection. So the intersection will be 30, and the A (algebra only) should have 120 and C(chemistry only) will have 50
@@sawazalz9764 See you're saying the same thing... It is never stated that A is Algebra only and C is chemistry only. A is simply Algebra students, so it also has AUC in it. What you're saying is that A is Algebra only, but that's wrong... A - AUC is Algebra only. I see, maybe he drew the diagram a bit incorrect, but nonetheless I am talking about that mathematical part.
Your such a good teacher. I was confused though about min. 3:15 because you said divided by P(B) however in 6:25 you say P(A). Was just confused about that.
good explanation. however, I have a question what is the difference between: a female with brown eyes and a female given that it has brown eyes? I see they are the same? why have choosen a conditional probablities while I see it is a simple question of a female with brown eyes which should be 100/200 = 0.5 (50%) at 13:40
I am quite confused with the question at 3:45. If the number of students taking both Algebra and Chemistry 30, then when drawing the venn diagram shouldn't the students in Algebra and Chemistry be subracted by 30?
Probability Formula Sheet: bit.ly/3zb22rW
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
Next Video: ua-cam.com/video/lWAdPyvm400/v-deo.html
Good day Sir. Thank you for all you do. Your channel have been of immense help to me various ways, more help than my school lecturers ever were. Thanks so much, may God multiply the blessings in your blessed life on my behalf, Amen.
Please Sir, I need your clarification on question 2 B 12:18 . To me, you are a demi maths god but I beg to disagree with you on it. In my thought, it's either you want to test if we are paying detailed attention to the formula or you got it wrong. From what I have learnt from you and what I know in probability, the solution should be as follows:
P(Br|M) = 70/90 = 7/9
Or
P(Br|M) = P(M and Br)/P(M)
=(70/200)/(90/200) = 70/90 = 7/9
= 0.7778 = 77.78%.
Please correct and clarify me if I am wrong. Please tag me when you do. Thanks
4:52 i swear u draw the venn diagram wrong?
Hey bro in 14:50 seconds why are you doing it differently compared to question C because they are the same questions
Dude, your videos are always so clear and to the point. You're a godsend. Crazy how it doesn't even require any fancy animations or anything, just clear examples and explanations. You are a fantastic teacher!
He is. And knows SO much too
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Now you understand the probability
Also you can say "Impossible Event".
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This was AWESOME. Blows my mind how you can visualize conditional probability with numbers and shapes!!!
I don't know why I pay tuition fees for my university faculty. If i don't understand anything at the end of the day, i have to come to this UA-cam channel and make a solution. And things are very easy to understand. If The Organic Chemistry Tutor had been my university faculty, I probably wouldn't have had to struggle so much. May Allah grant you long life❤️❤️❤️❤️
I love hearing your voice, its like an asmr. Its calming and makes me learn math with less anxiety.
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Learning probability is much better here than in my school/college...I use to ran away from this subject during those days...!Thank you Teacher :)
Literally never thought conditional probability was this easy! Thank you so much - it really helped me
Not everything is fine for me it's because other mathematic topics suit my ability. Those my friends are nice people they the other ones don't go to my college like Zachary his classmates probably now go to any type out there.
Have a test in 3 hours and binge watching all videos related to my test. Wish me Luck!!
How’d it go?
@@user-xt7jq8qp9x He nailed it
No jk lol
Good luck
now, 21/8/2024, I'm about to have mid term exam tmrw, binge watch every damn clip about probability and statistic like you did, may the force be with me >:D
Thank you thank you thank you! Even after watching my lecture videos and reading my textbook, I was still so confused. This saved my life. You're a godsend!
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Circle A=150 total. Here circle A contains 150+30=180. Start with the shared portion(intersection of A and B), then subtract that from the 150 & 180.... but I could be wrong. I came here to learn from the master.
I think the intersection of a and c is only an indication of how much students from a and c are taking both subjects.
I agree--the discrepancy really threw me off. Wording of the question should change, if 150 is not TOTAL number of students taking Algebra, but 150 taking ONLY Algebra. Weird that I'm writing this 2 years later.
@@efennervideos2206 is even more weird that I don't remember doing this after 2 years passing by. I think I'll watch the video now.
@@efennervideos2206 yea i thought the same thing
That part of the video is wrong. You are right.
I'm very curios to this narrator is he a teacher a professor?
omg thank you so much! you're amazing 👍🏻 hope i can do well in my test tmr 😢
Did you do well
Thank you very much for your video. Now I clearly understood conditional probability with Venn diagram amd Contingency table. Once again I am so glad and thank you very much
I saw this on a friend's status, i immediately came to download it and I've been listening for more than a month now and everytime i listen, i get goosebumps. This is wonderful. God bless you for such a wonderful ministration
Listening to what now?
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OMG BETTER THAN MY MATH TEACHER. SHE HAD NO IDEA HOW TO EXPLAIN THE FORMULA AND OUR TEST IS TOMORROW, AND YOU LITERALLY JUST SAVED MY REPORT CARD.. TYSM!!!
You're better than some of my university teachers, thank you!
Your videos helped me so much! Thank you for clarifying and making it easy to understand. Your videos helped me understand chemistry a lot better too lol thanks again! 🤓
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At 5 min, The question says 150, but on your vann diagram we now have 180 students taking algebra, Please explain further. Isn't suppose to be 120 and 30, vs 150 and 30?
yes i also thought so because they are also taking the course
No, he wrote down P(A) and. P(B) down without subtracting P(A n B) as is typically done. So... he didn’t have to subtract and then add it back in later.
Yup the Venn diagram is indeed wrong. That’s why you have to be careful with online resources.
@@creativeajayskitchen3199 -_-
150 students are ONLY enrolled in algebra, 30 students are enrolled in both algebra and chemistry, 80 students are ONLY enrolled in chemistry
One of the best and clearest videos I have seen on this complicated subject.Finally, every calculation fits together. Thank You!!
Very good explanation and it's understandable
A fair die is thrown twice. A is the event "sum of the throws equals 4," B is " at least one of the throws is a 3," calculate P(A/B)
For the probability of students taking Algebra, is it only 150? Can it be 150+30, since the 30 students are also taking Algebra? I'm a bit confused because the question is about students taking algebra and not "Algebra ONLY". I hope you can answer my question. I'M A FAN! God bless.
I was also confused by that, but I think he made a mistake; the algebra column should be 120, and the chemistry column should be 50 (I basically took away 30 from the initial amount). The intersection would remain 30. The answers makes more sense if the Venn diagram was filled with these numbers.
The venn diagram looks pretty wrong at 5mins
It proved to be an important point of discussion. I was thinking that same. 150 is the number of only Algebra. 180 is the number of Algebra students total.
In your videos everything is easy.
Indeed. Very clean and simple lessons. The Organic Chemistry Tutor is one of my big inspirations!
True
One thing that bugs me: If 150 are in algebra, and 30 are in algebra AND chemistry, then wouldnt the probability of selecting a student in algebra be 180/500 = 0.36 ? Then the P(C|A) = 30/180.
its talking about only algebra
Im waiting for statistics and probability videos from you! Thank you so much please make more videos about probability
Thank you from my whole heart for saving me. You're the GOAT.
at the end of 3:30, that's what I needed and it should help a lot with the probability unit. Thank You
B) why is the divisor 200 when we are only considering male with brown eyes? compared to C) where you only considered having 170 of the female that it has brown eyes? should that not be 200 as well like you did in P(M & Br)?
Man, I swear you are a legend!
wait... isn't it A=120 and C=80 since the problem didn't have the word "only". If it is "in an algebra course only" then it is 150
Thanks a lot for comments like this. I thought what I knew was wrong. I had just taught that part to someone and was alarmed when I saw the vid that I might have taught it wrong. Phew.
@@l554446l 😂😂😂 I realized it too
A = 150. A and not B = 120. I wanted to clarify that, but yes, you are right that in a Venn Diagram, we usually split the values by shaded regions, and thus the "A and NOT B" region should have had 120. While A = A and NOT B + A and B = 150.
I was just about to comment thisss
I was so confused for a second
But since 80 students are in chemistry, 30 could also be taking algebra as well? So isn't C = 80-30 = 50???
I love your explanations and ypur channel. But I think in the 1st example you should from 150 substract 30, because these 150 include All students that have Algebra and they also may have Chemistry. and 150-30 it will be 120 students that take Only Algebra. What do you think about it?
The picture isn't drawn quite clear, it'd probably better to put numbers like 120/30/50 i.e. labelling the mutually disjoint parts, I believe it's more intuitive and established notation if we put numbers on Euler-Venn diagrams.
However "the student is taking Algebra" should not be interpreted the exclusive "Only Algebra" so that calculation is correct, whereas if we question the probability of Only Algebra => it will be 120/500 for sure.
Dude is a BEAST! Thank you!
IS 150 IS RIGHT IN VAAN DIAGRAM ? . IN QUESTION YOU SHOULD HAVE MENTION 150 ARE ENROLLED IN ONLY CHEMISTRY
that's what I was thinking
150 are enrolled in algebra, 80 enrolled in chemistry. Out of those 150+80=230 students, 30 are enrolled in both algebra and chemistry. That's what was meant I think.
The figure on the left should be 120 and on the right 50. The total number of students taking algebra is than 120 + 30 = 150, etc. This is the conventional way of drawing Venn Diagrams.
@@briansykes2806 correct. i think he made a mistake.
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This is a fantastic explanation! So can we think of conditional probability as 'changing' the sample space to a new base? For example if we have a 'given it has brown eyes' the new sample space is the column Br and we have to compute any other conditional probability by referring back to this sample space instead of the global sample space.
I agree with you, well said!
I don't get something. At (12:16) you compute a union probability, which can be calculated by multiplying the individual probabilities of the events right? Thus, Male bird (90/200) * brown eyes (170/200) = 0.38, not 0.35.
If there is a subtitle in a foreign country, it's a good job.
A
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Thank you so much have now understood conditional probability
5:07 there should be only 120 students taking algebra. If we say 150 students that means we have included 30 students taking both courses. Vein diagram is wrong, 30 should be deducted from 150 and 80 to get exact number of students taking Algebra and chemistry. If am wrong correct me.
sam samson it just depends on you read the question, however i believe the person created this question meant that the 30 isn’t included in the 150 and 80.
If the 30 students are separate from those who take only one course, then the given problem needs more clarification. If we base on the problem itself, the Venn diagram is wrong. The reason is that, the 30 students are counted twice.
The Venn diagram is “wrong” intentionally. Just quicker instead of subtracting out P(A n C) just to add it back in.
You are right. Venn diagrams wrong
check it out (U)
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I am not sure that your Venn diagrams are correct. A should have 120 in the big circle (representing students taking Algebra only) and C should have 50 (representing students taking Chemistry only).
(edited) People are praising the video however Venn diagram is drawn wrong. This would be really confusing for someone to try to relate the diagram with the question.
I had the same doubt too..
yeah you're right
A cannot have 120, because in that way the students taking Algebra and Chemistry will be ignored... There was never said in the question that *"A"* is *"Algebra only"* or similarly, *"C"* is *"Chemistry only".*
@@m.ehsaan. that it simply wrong, students taking algebra and chemistry are not ignored as they are still in the middle which is the intersection. So the intersection will be 30, and the A (algebra only) should have 120 and C(chemistry only) will have 50
@@sawazalz9764 See you're saying the same thing... It is never stated that A is Algebra only and C is chemistry only. A is simply Algebra students, so it also has AUC in it. What you're saying is that A is Algebra only, but that's wrong... A - AUC is Algebra only. I see, maybe he drew the diagram a bit incorrect, but nonetheless I am talking about that mathematical part.
Your such a good teacher. I was confused though about min. 3:15 because you said divided by P(B) however in 6:25 you say P(A). Was just confused about that.
the best explanation ever god places you
good explanation. however, I have a question what is the difference between: a female with brown eyes and a female given that it has brown eyes? I see they are the same? why have choosen a conditional probablities while I see it is a simple question of a female with brown eyes which should be 100/200 = 0.5 (50%) at 13:40
Tried Professor Leonard...and am back here..
I am quite confused with the question at 3:45. If the number of students taking both Algebra and Chemistry 30, then when drawing the venn diagram shouldn't the students in Algebra and Chemistry be subracted by 30?
thats what i thought bro i went to the comments to check if it was just me
yeah, lol, I have same question
Agreed with this idea
@@lefti6310 You are not Alone
true... drew mine, i got
Algebra-120
Chemistry -50
Algebra n Chemistry-30
I thing the p(a) is 180. Because 150+30(taking a and c). Even though it is an intersection still they are taking algebra as well
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