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Old 04-03-2023, 10:34 PM   #13
rburgh
All Star Reserve
 
Join Date: Nov 2012
Location: Pittsburgh
Posts: 996
The real odds against pulling a perfect

Yes, whoever corrected me about what the average number of packs you need to get to receive a perfect card was right. It's one in 200. But sometimes you pull more than one of them in 200 packs; to balance that out somebody else has to get none in their 200 packs.


Here are the odds on pulling a perfect for some random numbers of packs.


1 - 199:1

2 - 99:1

3 - 66:1



Just what you thought, right?


5 - 39.5:1

10 - 19.5:1

20 - 10.5:1

30 - 6.18:1


We're starting to see the effects of having to balance out the lucky so and so who pulls 2 in that number of packs.


40 - 4.5:1
50 - 3.5:1
75 - 2.2:1
100 - 1.54:1


How many packs do you have to have to have a 50/50 chance to pull a perfect? Between 138 and 139.


200 - about a 63% chance to get one
300 - 77.7%
400 - 86.5%
500 - 91.8%
600 - 95%


And you all thought that 600 packs was enough to be sure you'd get 3. Not even close, one time in 20 you will draw a blank.
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