Original post by Absurd_

Hi

Can someone please give an example of dependent events and also tell me if they can be represented on Venn diagrams like independent and mutually exclusive events?

Can someone please give an example of dependent events and also tell me if they can be represented on Venn diagrams like independent and mutually exclusive events?

There are lots of examples (maybe google it?) such as drawing balls from a bag without replacement

https://www.google.com/search?q=dependent+examples+probability

and the conditional test is its not independent so p(B|A) != p(B).

So if you can interpret independent on a venn diagram then being dependent is not independent. However, apart from some simple cases, being able to spot dependent/independent on a venn diagram isnt necessarily obvious.

Do you have an example / question / ... youre working on?

Original post by absurd_

Thank you , Im not working on a question at the moment but I am still confused on whether or not you can represent dependent events on a venn diagram

Tbh, not very clearly. In special cases its clear, but more generally dependent/independent its always easy to determine from a venn diagram. If you use the independence definition

p(A&B) = p(A)*p(B)

can you really say whether or not the probability/area fraction of the overlap is the product of the probability/area fraction of the two circles? If they dont overlap or completely overlap or close to those extremes then you can pretty much infer dependent, but otherwise its a quantitative test.

https://www.youtube.com/watch?app=desktop&v=hfQuIqAF4TE&ab_channel=Solve4x

(edited 1 month ago)

Original post by mqb2766

Tbh, not very clearly. In special cases its clear, but more generally dependent/independent its always easy to determine from a venn diagram. If you use the independence definition

p(A&B) = p(A)*p(B)

can you really say whether or not the probability/area fraction of the overlap is the product of the probability/area fraction of the two circles? If they dont overlap or completely overlap or close to those extremes then you can pretty much infer dependent, but otherwise its a quantitative test.

p(A&B) = p(A)*p(B)

can you really say whether or not the probability/area fraction of the overlap is the product of the probability/area fraction of the two circles? If they dont overlap or completely overlap or close to those extremes then you can pretty much infer dependent, but otherwise its a quantitative test.

Oh I think i get it now , tysm

Original post by mqb2766

Tbh, not very clearly. In special cases its clear, but more generally dependent/independent its always easy to determine from a venn diagram. If you use the independence definition

p(A&B) = p(A)*p(B)

can you really say whether or not the probability/area fraction of the overlap is the product of the probability/area fraction of the two circles? If they dont overlap or completely overlap or close to those extremes then you can pretty much infer dependent, but otherwise its a quantitative test.

https://www.youtube.com/watch?app=desktop&v=hfQuIqAF4TE&ab_channel=Solve4x

p(A&B) = p(A)*p(B)

can you really say whether or not the probability/area fraction of the overlap is the product of the probability/area fraction of the two circles? If they dont overlap or completely overlap or close to those extremes then you can pretty much infer dependent, but otherwise its a quantitative test.

https://www.youtube.com/watch?app=desktop&v=hfQuIqAF4TE&ab_channel=Solve4x

So you know formula right?

[ P(A or B) = P(A)+P(B) - P(A and B) ]

Do you use this for dependent or independent events?

Original post by Absurd_

So you know formula right?

[ P(A or B) = P(A)+P(B) - P(A and B) ]

Do you use this for dependent or independent events?

[ P(A or B) = P(A)+P(B) - P(A and B) ]

Do you use this for dependent or independent events?

The addition formula is general formula so works for both. The only difference is how you get p(AnB) as above. If its p(A)*p(B) then independent, otherwise its dependent.

Original post by mqb2766

The addition formula is general formula so works for both. The only difference is how you get p(AnB) as above. If its p(A)*p(B) then independent, otherwise its dependent.

Im really sorry but can you help me with this as well please

Does this formula P(B and A) = P(B|A) *P(A) only work for dependent events?

Original post by Absurd_

Im really sorry but can you help me with this as well please

Does this formula P(B and A) = P(B|A) *P(A) only work for dependent events?

Does this formula P(B and A) = P(B|A) *P(A) only work for dependent events?

No, thats a general formula. For inddependent events p(B|A)=p(B) so

p(AnB) = p(B|A)p(A) = p(B)p(A)

- Freshers week
- History A level NEA civil rights coursework
- what do you do in freshers week?
- mechanical vs motorsport vs automotive vs aerospace
- Joining societies in January
- Freshers Week Uni of Sheffield
- University of Bath Freshers Wristband
- Help with STATA or EXCEL
- Where to apply for engineering with A*AAA prediction
- Uni of Bristol north village vs west village accommodation - pls help
- Trevs 2023 offer holders
- How much can a host university support you during a study abroad year?
- How to Save Pennies When Going to University?
- Postgraduate accommodation in Durham
- Kallisto's Sunday Question: Time Travel
- Can somone mark my english lang paper 2 q5 for aqa please!!
- Binomial distribution
- Is Uni hard for non drinker/non smoker/non party goer?
- Clubbing it LSE?
- how to make friends at uni?

Last reply 1 week ago

STEP 2 in 2024: Sharing Your Story! [PLUS WITH SOME SOLUTIONS AND PREDICTION]Maths

18

80

Last reply 2 weeks ago

A level maths paper 2 (pure and statistics) and paper 3 (pure and mechanics) ocrMaths

4

6

Last reply 1 week ago

STEP 2 in 2024: Sharing Your Story! [PLUS WITH SOME SOLUTIONS AND PREDICTION]Maths

18

80

Last reply 2 weeks ago

A level maths paper 2 (pure and statistics) and paper 3 (pure and mechanics) ocrMaths

4

6