Conditional Probability With Venn Diagrams & Contingency Tables

[@TheOrganicChemistryTutor]

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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

[@darkhelm2545]

4:52 i swear u draw the venn diagram wrong?

[@stanlee1262]

Hey bro in 14:50 seconds why are you doing it differently compared to question C because they are the same questions

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This was AWESOME. Blows my mind how you can visualize conditional probability with numbers and shapes!!!

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[@ericpark462]

Literally never thought conditional probability was this easy! Thank you so much - it really helped me

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[@navajohnny76]

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.

[@justsomeone9564]

I think the intersection of a and c is only an indication of how much students from a and c are taking both subjects.

[@efennervideos2206]

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.

[@navajohnny76]

@@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.

[@paulglavan1228]

@@efennervideos2206 yea i thought the same thing

[@danielgomez920]

That part of the video is wrong. You are right.

[@jaskaranshekhon9990]

at the end of 3:30, that's what I needed and it should help a lot with the probability unit. Thank You

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[@mxolisinzimande7012]

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?

[@chilufyachewe3843]

yes i also thought so because they are also taking the course

[@elizabethbachicha]

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.

[@creativeajayskitchen]

Yup the Venn diagram is indeed wrong. That’s why you have to be careful with online resources.

[@abdsal96]

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[@erk4025]

150 students are ONLY enrolled in algebra, 30 students are enrolled in both algebra and chemistry, 80 students are ONLY enrolled in chemistry

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Your explanation made me love probability

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True

[@rachelgomez2273]

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.

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Very good explanation and it's understandable

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[@dumaoctavian8523]

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.

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Dude is a BEAST! Thank you!

[@najdimurshid0658]

5:17 can anyone explain to me why the Venn Diagram shows that P(A) is 180 in total.. isn't it should be drawn as 120 outer part and 30 for the intersection region

[@MCChialloChiallo]

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)

[@samsamson1414]

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.

[@kingbi7984]

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.

[@galfordwhey1818]

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.

[@elizabethbachicha]

The Venn diagram is “wrong” intentionally. Just quicker instead of subtracting out P(A n C) just to add it back in.

[@candykiss024]

You are right. Venn diagrams wrong

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[@abdulkarim.jamal.kanaan]

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

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If there is a subtitle in a foreign country, it's a good job.

[@cobbiecobz6941]

A

[@Ahmed-fq6si]

God bless you Sir Everything is cristal clear

[@paulglavan1228]

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?

[@lefti6310]

thats what i thought bro i went to the comments to check if it was just me

[@yesimkhanh9932]

yeah, lol, I have same question

[@egyptianplanner]

Agreed with this idea

[@egyptianplanner]

@@lefti6310 You are not Alone

[@benbenben981]

true... drew mine, i got Algebra-120 Chemistry -50 Algebra n Chemistry-30

[@florencezimba9263]

Thank you so much have now understood conditional probability

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Very well explained. Thank you so much

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Thanks!

[@juanc.alcazar7507]

Good examples and great explanation!

[@Ilovepink-p9f]

Sir, at the 16:26, why aren’t included the 30 students in Algebra?

[@asishcodes]

your videos are so good man!!

[@ezugwukelechi9632]

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 whoever can should correct and clarify me if I am wrong. Please whoever does should tag me when he/she does. Thanks

[@konuladigozal3353]

thank you so much for saving me AGAIN!!!!!!

[@shelbyreneeacot2918]

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)?

[@thebadagnostic]

one of the best way to explain conditional probability

[@mikeoxlong7607]

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

[@l554446l]

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.

[@jaysonandre295]

@@l554446l 😂😂😂 I realized it too

[@anurag985]

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.

[@ewurafua_quansah]

I was just about to comment thisss I was so confused for a second

[@XD_OwO]

But since 80 students are in chemistry, 30 could also be taking algebra as well? So isn't C = 80-30 = 50???

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You should be my next lecturer...

[@ABDULLAH-yo6vw]

Very clear explanation . Thank you soo much..

[@RohithMusic]

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.

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