How the fuck do I get into probability without all the STUPID

>>8994367
>i hate real world examples that force me to confront the fact that i don't actually know what i'm doing

Know tf.
That applied shit is horrible.

>>8994367
You have to grind my friend

>>8994377
>I like "applied math"

>>8994380

What do you mean.

>>8994383
>doesn't respond to the charge that he doesn't know what he's doing
>considers himself a pure mathematician

>>8994367
My school uses this

https://www.amazon.com/Theory-Probability-Random-Processes-Universitext/dp/3540254846

>>8994392

>wants to study abstraction
>"haha you dumb brainlet have fun applying that!"

What's wrong with getting the rigor out of the way THEN diving into the applied problems.

>>8994367
>probability is applied mathematics
>wants an abstract version

What did he mean by this?

>>8994386
What I mean by grind is that you just have to continue what your doing over and over again until you finally get what you want.

>>8994383
Just brainlet things: deriding applied mathematics due to your insecurity over not being smart enough for a word problem.

>>8994367

Hoel, Port, Stone gives more Mathematical insight as opposed to probabilistic thinking.

However, "rolling dice" and "cards" are actually really basic concepts used to introduce basic distributions in probability theory.

>>8994540

>not being smart enough for word problem

some word problems are page long and cluttered with useless information and ambiguities.

>>8994367
If you want that good probability shit then Kolmogorov is where it's at. It really is a good book, need some measure theory before going in though.

>>8994757
>page long and cluttered with useless information
Every pure math book ever.

>>8994367
You want abstraction of an applied maths field? Pls b b8

>>8994367
>probability
>abstractions
lol wannabe mathfag

>>8994367
Kolmogorov axiomatization.
Probability theory is basically a special case of measure theory, and everyone will tell you to study that first.

Kolmogorov's 1/2 law states that any event either happens or doesn't happens

>>8994367
To truly understand Probability you first need a good understatement of measure theory.

In regards of the frequentist vs bayesians shitshow you need some degree of formation in logic and probabilistic logic to give each interpretation a rigorous definition.

>>8994403
>What's wrong with getting the rigor out of the way
it is backwerdz from historical development of the field,
in which applied problems came first, and rigour afterwerdz
Lrn2history fgt pls

>>8994367
You will need naive set theory on your journey. Start there. Do not be afraid to use real world problems as examples.

>>8994403
silly nog

probability theory was born from considering real
world problems like how to win at gambling

your dichotomy between "abstraction" and "real world" is only holding you back

follow the math where it goes

File: DailyHistoricalVolatilityofDJIA.jpg (110KB, 700x361px) Image search: [Google]

110KB, 700x361px

>>8995086
>>8995086
>real world problems
>gambling
Because in the real world we always know the probability distributions exactly, all measurements are independent and identically distributed, we can calculate the expected value of everything, and the law of large numbers / central limit theorem apply perfectly, right?

Fuck the ivory tower and their meaningless abstractions, probability is an inherently applied discipline and human intuition for probabilities are infallible. Discrepancies should be a wake-up call for the so-called "geniuses" to tear down their rotten foundations and rebuild a better system of mathematics that actually reflects empirical reality.

Always hated the probability problems related to cards because I don't play cards, never have, and probably never will.

i.e. whats the probability of pulling a queen?
whats the probably of pulling a card of the same suit?

Shit always made me rage reeeee

>>8995102
you seem to be making the same point that i was: there's nothing inherently wrong with "applied"

it's also objectively true that probability theory was born of a study of gambling.

>>8995123
tfw you've played over 2 million hands of online poker

>I just want people to tell me what formula I need to use because I'm too stupid to grasp the significance of what I'm calculating
Is this a fair assessment of your problem? Why not?

>>8995126
winning or losing :^)

ITT: Freshmen puremathfags getting BTFO

Depends on your higher-level mathematical background. If you don't have one, get one. If you do then download Probability Theory by Klenke

>>8994406
Probability is pure mathematics.

Probability and statistics are voodoo math and have no connection to reality. it's literally abuse of the concept of mathematics to apply an exact language to an inexact, poorly defined application.

>>8994377

To be fair, when reading completely abstract mathematical texts, you should constantly be conjuring concrete examples as a check on your understanding.

>>8995102
But all of math starting with number theory is built upon a ivory basis. Would you really prefer math to be remade without numbers?

>>8995291
>Probability and statistics are voodoo math and have no connection to reality.
That's what someone who didn't understand shit from studying probability would say.

But you are "right" about statistics. Statistics isn't mathematics, it is a science. There is subjectivity in it.

>>8995404
>there is not subjectivity in math

found the undergrad brainlet

>>8995361
math....numbers.....hahahahahahahaha