Probability

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WalterSk
Posts: 2
Joined: 24 August 2024, 09:08

Probability

Post by WalterSk »

i know card games are random on what u draw but hear me out, my deck on altered use permanent cards i have 5 of them that i pretty much need at least 1 to start making my good plays, i had a game were i draw 20 cards ( i use a lot resuply....) and none of them came , did the calculation ( on chat gtp) and the probability of pulling 20 cards on a deck of 39 and none of those 5 come is 0.00327% i was like wow i got really unlucky , and went to play another game , when deck reach 19 card (pull 20 cards again ) and again twice in a row none of the permanents came i just admit defeat , a probability of 0.00327% happen twice in a row!? wtf is happening here?!
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Jellby
Posts: 3550
Joined: 31 December 2013, 12:22

Re: Probability

Post by Jellby »

https://cardgamecalculator.com/?N=39&K=5&n=20&k=1

The probability of drawing at least one of your good 5 cards with 20 draws out of 39 is 97.98%, so the probability of NOT drawing any is 2.02%, far from your 0.00327%. The probability of that happening twice in a row is 0.04% or 1 in ~2500.

The probability of ChatGPT giving a wrong answer is probably larger than 2.02% too.
The probability of someone coming here to complain is 100% :D
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Silene
Posts: 980
Joined: 23 October 2013, 17:50

Re: Probability

Post by Silene »

ChatGTP needs a good wording of your question. Pretty sure it can give you the ~2%, if you ask your queston right.

Whatever you get from ChatGTP - make sure you at least do some sanity check with it. In this example you could see the chance of not getting one specific card is roughly 1/2. So not getting any of the 5 should be somewhere near 1/2 ^ 5 = 1/32, which is around 3%. This is a very flawed calculation, but it's easy and works well as a sanity check to see that 0.00327% has to be way off.
Check out the Allround-League: https://boardgamearena.com/group?id=7870115 --> a league where you have matches of random games vs. other players in your group. Season 9 registration oct. '25.
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WalterSk
Posts: 2
Joined: 24 August 2024, 09:08

Re: Probability

Post by WalterSk »

Jellby wrote: 07 November 2024, 13:07 https://cardgamecalculator.com/?N=39&K=5&n=20&k=1

The probability of drawing at least one of your good 5 cards with 20 draws out of 39 is 97.98%, so the probability of NOT drawing any is 2.02%, far from your 0.00327%. The probability of that happening twice in a row is 0.04% or 1 in ~2500.

The probability of ChatGPT giving a wrong answer is probably larger than 2.02% too.
The probability of someone coming here to complain is 100% :D
still very unlucky xD
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