Conditional Probability With Venn Diagrams & Contingency Tables

[@TheOrganicChemistryTutor]

Probability - Free 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: kzbin.info/www/bejne/ooiklYOvq9JnZpI

[@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 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?

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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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Also you can say "Impossible Event".

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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.

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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]

@@creativeajayskitchen -_-

[@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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[@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)

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[@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

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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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[@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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[@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]

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[@benbenben981]

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

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[@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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check it out (U)

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Thanks a lot I really love your teaching

[@mamuzouakpo376]

The venn diagram looks pretty wrong at 5mins

[@davidbarry7265]

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.

[@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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[@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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Very well explained. Thank you so much

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my dream tutor.

[@florencezimba9263]

Thank you so much have now understood conditional probability

[@ar_unaa]

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?

[@izumiasmr]

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.

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Good examples and great explanation!

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[@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???

[@advikjha21]

IS 150 IS RIGHT IN VAAN DIAGRAM ? . IN QUESTION YOU SHOULD HAVE MENTION 150 ARE ENROLLED IN ONLY CHEMISTRY

[@baharfardipour4995]

that's what I was thinking

[@jaiminpatel9462]

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.

[@briansykes2806]

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.

[@fanelesbonge9942]

@@briansykes2806 correct. i think he made a mistake.

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You make probability look easy♥️

[@visa.v.edition6675]

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

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9:58 huge W

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even more clear than statquest. thanks.

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Love his videos 👍, he's really good at explaining

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you are better than my proff

[@thebadagnostic]

one of the best way to explain conditional probability

[@noluthandomadonsela3823]

Much greater understanding... Thank You.