Jacob Something · @jkanev
102 followers · 569 posts · Server fediscience.org

The main error of the Monty Hall problem is: It assumes having a car is more desirable than having a goat.

#politics #traffic #Probability #mathematics

Last updated 1 year ago

Onemoment · @onemoment
16 followers · 52 posts · Server mstdn.social
Bruce Nault II · @brucen2
34 followers · 218 posts · Server mstdn.social

Latest papers: Kyriacou and Stylianou argue that at least some of us do not adequately possess the concept of and that the digital dissemination of helps foster collective irrationalities (e.g., underestimation) doi.org/10.1080/09515089.2023. @philosophy @philosophyofmind

#COVID19 #misinformation #Probability

Last updated 2 years ago

Karthikeyan A K :verified: · @mindaslab
59 followers · 516 posts · Server mstdn.social
Karthikeyan A K :verified: · @mindaslab
55 followers · 468 posts · Server mstdn.social
Karthikeyan A K :verified: · @mindaslab
55 followers · 447 posts · Server mstdn.social
Henrik Wilming · @arrr
125 followers · 85 posts · Server fediscience.org

A question on and .

Finding a neat solution for this would be of tremendous help for a research project on quantum information theory.
(We need to solve a more general problem, but this would be a great start.)

@johncarlosbaez@mathstodon.xy Do you mind reposting this on @mathstodon.xy ?

#Probability #analysis #math

Last updated 2 years ago

Random walks have a wide range of applications, including modeling the movement of stock prices, animal migration, and the spread of infectious diseases. They are also a fundamental concept in and , and have been studied extensively in the literature.

I have written a new that goes over how to the for the and how to it.

Post: spsanderson.com/steveondata/po

#Physics #movement #random #timeseriesanalysis #timeseries #visualize #randomwalk #Data #generate #blogpost #statistics #Probability

Last updated 2 years ago

C. Harris Floudas · @chfloudas
52 followers · 199 posts · Server mstdn.social

Mapping of descriptions to perceived numeric interpretation, useful to keep in mind when talking to patients
RT @emollick: Words choices matter when communicating probability. Is something more probable if it is “likely” or a ”serious possibility”?

One chart is a result of a survey of humans. I asked its interpretations & graphed them (reloading the answer changed them a bit, but not a lot) t.co/3YPXIraVRZ

#chatgpt #Probability

Last updated 2 years ago

A nice resource:
The Only Cheatsheet You'll Ever Need
wzchen.com/probability-cheatsh

10-page probability cheatsheet that summarizes important probability concepts, formulas, and distributions, with figures, examples, and stories.

#statistics #Probability

Last updated 2 years ago

Julia Hargreaves · @julesberry
76 followers · 38 posts · Server fediscience.org

When I first looked 4 days ago I found nothing under some of my interest hashtags, but now I believe they are others out there, so it could be time for an … 😁

Could never find anything useful on Twitter, but didn’t know about Mastodon until last week. It’s so much more interesting…

#crochet #sewing #ukpolitics #recorder #classicalmusic #quaker #mtb #zwift #cycling #Covid #Probability #paleoclimate #Climate #editing #openaccess #science #introduction

Last updated 2 years ago

hobs · @hobs
408 followers · 763 posts · Server mstdn.social

If you play an infinite number of rounds you'll have infinite payoff ( theory )
But if you paid $1k to play each round your real world expected value is negative rather than the $ that math says it is.

Because...
Like betting strategy, you don't have an infinite bankroll...
Nor infinite time.

As you keep tossing tails, you have exponential payoff growth, BUT you also have linear cost growth
And you cant buy time with $

#martingale #infinity #ExpectedValue #Probability

Last updated 2 years ago

hobs · @hobs
408 followers · 763 posts · Server mstdn.social

Alen Hajek's and on the 80k hr podcast was mind blowing.
But I think I solved the St Petersburg Paradox.
Imagine a casino that offers exponentially increasing payoff on coin toss sequence (example outcomes below).
That should give infinite expected value, so you should be willing to pay a lot of money to play. But in reality casino can profitably price it for $1000 or so.

H pays $2
T H pays $4
T T H = $8
N*T H = 2^N $

#Paradoxes #puzzles #Probability

Last updated 2 years ago

Victor Venema · @VictorVenema
1480 followers · 1653 posts · Server fediscience.org

@ericireland It is good to be able to hold multiple thoughts in your head, to be able to use a theory while knowing it (might be) wrong, but I do not like expressing this as a . You sometimes even see people building Bayesian models for this.

We know classical mechanics is wrong due to quantum mechanics. In its range of applicability it is phenomenal, however. We know quantum mechanics or relativity must be wrong (because they conflict). Are they 50% right???

#Probability

Last updated 2 years ago

Karthikeyan A K :verified: · @mindaslab
48 followers · 271 posts · Server mstdn.social
Leonard/Janis Robert König · @ljrk
150 followers · 8885 posts · Server todon.eu