Current Events > Very unlikely but can someone familiar with probability help me?

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LordFarquad1312
05/24/18 10:09:46 PM
#1:


Basically, I remember during a lecture the teacher talked about the time it would take for a random event to happen.

As an example, and it's probably wrong since I'm pulling it out of my ass, and event with a 1/10000000000000000000 chance of happening would only happen once in the entire history of the universe.

Does this sound familiar to anyone at all, and if so, where can I check it to refresh my mind?
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#2
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ProfessorKukui
05/24/18 10:13:36 PM
#3:


Probably not.
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LordFarquad1312
05/24/18 10:13:57 PM
#4:


Like, an event with a 1 chance always happens. And event with a 1/10 chance happens every x time. And event with a 1/1000 happens every y time. And event with a 1/1000000 chance happens once in a lifetime, etc.

I made up this chances, and would like to know the actual numbers and how long it takes for them to happen, if such a thing even exists, it could well be my teacher was making things up.
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LordFarquad1312
05/24/18 10:20:26 PM
#5:


It might have something to do with the expected frequency of the event?
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thronedfire2
05/24/18 10:24:16 PM
#7:


50/50 chance, either it happens or it doesn't
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Ki_cat_
05/24/18 10:24:29 PM
#8:


You're asking for specific numbers behind "once in a lifetime" and such?

Completely depends on the event.
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LordFarquad1312
05/24/18 10:28:42 PM
#9:


Ki_cat_ posted...
You're asking for specific numbers behind "once in a lifetime" and such?

Completely depends on the event.

Basically, I saw a video of a softlock in Pokemon where the only chance of getting out of it was to miss an attack with a 1/256 chance of missing 20 times in a row. The author claimed it was theoretically possible to get out of it, but I'm pretty sure the odds are so astronomically low it would take longer than the age of the universe for it to happen, so statistically speaking, it might as well be impossible. I would like some way to justify my claim.
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DifferentialEquation
05/24/18 10:32:55 PM
#10:


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Aristoph
05/24/18 10:34:30 PM
#11:


It would entirely depend on how quickly the attempts are made.

Even something with a 1-in-a-quadrillion chance is going to happen about once every 3171 years if there are 10 thousands attempts per second, for example.
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Ki_cat_
05/24/18 10:35:09 PM
#12:


Yes, super low odds are pretty much not possible. It "could" happen but won't.

1/250 isn't bad for drop rates or the shiny rate is okay but for a move to hit? It's destined to miss.

The odds don't even mean much. It could hit 20 times in the next hour or pretty much never.
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muchdran
05/24/18 10:36:26 PM
#13:


I think I know this one
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LordFarquad1312
05/24/18 10:38:28 PM
#14:


Aristoph posted...
It would entirely depend on how quickly the attempts are made.

Even something with a 1-in-a-quadrillion chance is going to happen about once every 3171 years if there are 10 thousands attempts per second, for example.

Is the 3171 figure accurate or did you make it up?
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LordFarquad1312
05/24/18 10:42:39 PM
#15:


Like, let's assume it takes a minute for the event to happen. How often can we expect an event with a (1/256)^20 to happen?
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KainWind
05/24/18 10:49:48 PM
#16:


LordFarquad1312 posted...
Like, let's assume it takes a minute for the event to happen. How often can we expect an event with a (1/256)^20 to happen?

Once every 2,780,000,000,000,000,000,000,000,000,000,000,000,000,000 years?
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Aristoph
05/24/18 10:50:41 PM
#17:


LordFarquad1312 posted...

Is the 3171 figure accurate or did you make it up?


It's a rough estimate, really. 1 quadrillion divided by 10k equals the number of seconds for that many attempts. Divide that by 60 to get number of minutes, 60 again for number of hours, then 24 for number of days, finally 365 for number of years. Comes out to 3170.979~.

Didn't really do any proper probability calculations. Just going with "happens once in a quadrillion, so how long would it take for a quadrillion tries?"
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LordFarquad1312
05/24/18 10:50:58 PM
#18:


KainWind posted...
LordFarquad1312 posted...
Like, let's assume it takes a minute for the event to happen. How often can we expect an event with a (1/256)^20 to happen?

Once every 2,780,000,000,000,000,000,000,000,000,000,000,000,000,000 years?

How did you arrive at this number?
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KainWind
05/24/18 10:51:52 PM
#19:


LordFarquad1312 posted...
KainWind posted...
LordFarquad1312 posted...
Like, let's assume it takes a minute for the event to happen. How often can we expect an event with a (1/256)^20 to happen?

Once every 2,780,000,000,000,000,000,000,000,000,000,000,000,000,000 years?

How did you arrive at this number?

256^20 minutes converted to years.
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LordFarquad1312
05/24/18 10:52:14 PM
#20:


Aristoph posted...
LordFarquad1312 posted...

Is the 3171 figure accurate or did you make it up?


It's a rough estimate, really. 1 quadrillion divided by 10k equals the number of seconds for that many attempts. Divide that by 60 to get number of minutes, 60 again for number of hours, then 24 for number of days, finally 365 for number of years. Comes out to 3170.979~.

Didn't really do any proper probability calculations. Just going with "happens once in a quadrillion, so how long would it take for a quadrillion tries?"

I see, I see. This is pretty much along the lines of what I'm asking :D
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LordFarquad1312
05/24/18 10:54:16 PM
#21:


KainWind posted...
LordFarquad1312 posted...
KainWind posted...
LordFarquad1312 posted...
Like, let's assume it takes a minute for the event to happen. How often can we expect an event with a (1/256)^20 to happen?

Once every 2,780,000,000,000,000,000,000,000,000,000,000,000,000,000 years?

How did you arrive at this number?

256^20 minutes converted to years.

This sounds very reasonable and now I feel stupid for not thinking of it. Thank you.
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