Mathematics Asked on January 7, 2022

First question, do probability problems generally consisting of two categories always assume two events are dependent?

Let’s say there are two categories from a set of n people. They are gender, divided into $M$ – male and $F$ – female and course which are $E$ – engineer and $D$ – doctor.

I will assign variables for each of the four unions.

$$M ∩ E = a$$

$$F ∩ E = b$$

$$M ∩ D = c$$

$$M ∩ D = d$$

My question is, why is that with these kinds of problems we always go for conditional probability? Is it because they have intersection as given? From my conceptual understanding of dependent events, I don’t think gender and preferred course are suppose to intuitively be related.

Okay someone might argue they could be. But why is it if like the problem involves x category and y category and they just give out values we just always go for the idea that they are dependent?

The bigger question is, how do you if a problem uses dependent or independent events without just relying on common types of problems?

Is it right like that if two things can happen at the same time for like a person or product, we just go for it being dependent? But if two things can happen at the same time but they do not pertain to the same subject, they are independent? Like the event that it rains in City A and it is sunny in City B is independent because they can totally happen at the same time but they don’t really talk about the same thing?

The independence of events depending on their subject was just an assumption of mine. Is this true or not? Is there any generalization on how to tell the independence of two events in the problem when it is not outright stated like in the one I mentioned above?

0 Asked on November 2, 2021 by luiz-max-carvalho

0 Asked on November 2, 2021

expected value probability random variables recurrence relations

1 Asked on November 2, 2021 by erik-satie

0 Asked on November 2, 2021

differential geometry fiber bundles global analysis manifolds manifolds with boundary

2 Asked on November 2, 2021

1 Asked on November 2, 2021 by user10478

discrete mathematics generating functions inverse laplace laplace transform recurrence relations

2 Asked on November 2, 2021 by rockafellar

0 Asked on November 2, 2021

analytic number theory conditional convergence dirichlet series euler product infinite product

1 Asked on November 2, 2021 by stopusingfacebook

1 Asked on November 2, 2021

differential geometry manifolds with boundary smooth manifolds submanifold

0 Asked on November 2, 2021 by geo-sd

differential geometry lie groups linear algebra ordinary differential equations

1 Asked on November 2, 2021 by r-suwalski

0 Asked on November 2, 2021 by mushu-nrek

absolute continuity measure theory radon nikodym weak convergence

2 Asked on November 2, 2021

curl line integrals multivariable calculus vector analysis vector fields

0 Asked on November 2, 2021

causality graph theory neural networks probability random variables

3 Asked on November 2, 2021

convergence divergence sequences and series upper lower bounds

6 Asked on November 2, 2021

4 Asked on November 2, 2021

approximation convergence divergence lp spaces measure theory real analysis

1 Asked on November 2, 2021 by user531706

Get help from others!

Recent Answers

- Lex on Does Google Analytics track 404 page responses as valid page views?
- Peter Machado on Why fry rice before boiling?
- Jon Church on Why fry rice before boiling?
- haakon.io on Why fry rice before boiling?
- Joshua Engel on Why fry rice before boiling?

Recent Questions

- How Do I Get The Ifruit App Off Of Gta 5 / Grand Theft Auto 5
- Iv’e designed a space elevator using a series of lasers. do you know anybody i could submit the designs too that could manufacture the concept and put it to use
- Need help finding a book. Female OP protagonist, magic
- Why is the WWF pending games (“Your turn”) area replaced w/ a column of “Bonus & Reward”gift boxes?
- Does Google Analytics track 404 page responses as valid page views?

© 2023 AnswerBun.com. All rights reserved. Sites we Love: PCI Database, UKBizDB, Menu Kuliner, Sharing RPP