There’s various technicalities of how and where Beyesian statistics apply to the world but I really interpreted it as meaning “if the world is ending then it doesn’t matter and if not then I’m up $50”. The Beyesian is just ruthlessly practical.
Not only that, but there’s a higher chance of the detector lying than the Sun supernova-ing, so it’s probably a false positive. Yes I did just read 3–4 Wikipedia articles.
That is definitely not the joke. The joke is that the frequentist approach gives you a clearly nonsensical conclusion, because the prior probability of the sun exploding is extremely small.
Missing: any sort of physicist who will tell them both that the forward model says that the sun won’t explode for a few billion years, and so far that model hasn’t been wrong.
Minor correction: in a few billion years our sun will expand into its red giant death phase.
Also: our star can't go nova by our understanding of astrophysics. If it actually can, then we might need to throw out a lot of astrophysics, including predictions on when our star will expand.
Also also: the odds of the dice giving double 6s is MUCH higher than our sun going nova at any point in time even if it could go nova and was overdue.
Ah, gotcha. I tried learning Bayesian probability once and failed utterly. One of the only classes I just barely passed (stat was the other). My brain just barely computes it.
(1) the sun went nova (vanishingly small chance) and machine rolled truth (prob 35/36) – the joint probability of this (the product) is near zero
OR
(2) sun didn’t go nova (prob of basically one) and machine rolled lie (prob 1/36) – joint prob near 1/36
Think of joint probability as the total likelihood. It is much more likely we are in scenario 2 because the total likelihood of that event (just under 1/36) is astronomically higher than the alternative (near zero)
I’m skipping stuff but hopefully my words make clear what they math doesn’t always
All observed novae involve white dwarfs in close binary systems.
It requires a white dwarf (which our sun will eventually become after a red giant phase cooks and potentially consumes us) star to absorb matter from another star to the point it undergoes rapid fusion for a short while. Our sun would have to capture another star and become a binary. Very very unlikely and almost certainly to fling all planets out of the solar system.
I don’t like this comic because the frequentist statistician is operating with an effective n=1. You’d ask the detector 1000 more times, and use those results to get your answer.
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