How To Waste Time, Lesson 23: Calculating a Print Run
While I was opening my Ben Baller Box, I commented that I wasn't sure what the print run was for that set. Welp, because I like to spend time thinking about math (a hit with the ladies), I went and tried to figure it out. Here is my reasoning:
Topps specifies the odds for pulling pretty much everything in the set. I used this, combined with the fact that I know how many cards come in each pack to calculate the entire print run.
Given:
Total number of different standard cards in the base set: 200
Overall odds of pulling a base card refractor: 1:4 packs
Total number of different standard 1985 Insert cards: 25
Overall odds of pulling a 1985 insert: 1:12 packs
Total number of different standard Diamonds cards: 15
Overall odds of pulling a Diamond card: 1:24 packs
Total number of autograph cards: 11
Cards per pack: 8
First, I calculate the number of refractor parallels for the base cards. Each base card has 99 greens, 75 blues, 50 golds, 25 oranges, 5 reds, and 1 SF. So:
- 99+75+50+25+5+1 = 255
- 255 * 200 different base cards = 51,000
Second, Now we know there are 51,000 total base card refractors printed. Because the odds of pulling a refractor are 1:4, that means there are:
- 51,000 x 4 = 204,000 packs total
Third, we know that the odds of pulling an '85 insert is 1:12, therefore there are:
- 204,000 / 12 = 17,000 total '85 inserts
- 1985 inserts come in Gold - SF refractor varieties and there are 25 different flavors so:
- 25 x (50+25+5+1) = 2025 total '85 refractors which means there are:
- 17,000 - 2025 = 14,975 total base 1985's
Forth, we know that the odds of pulling a Diamond are 1:24 with the same refractor varieties so following the same logic:
- 8500 total Diamonds
- 1215 total Diamond refractors
- 7285 total Diamond bases
Fifth, all we know about Autographs are there are a total of 891 (81 x 11) because they have the same refractor types.
Conclusion:
- There were 816,000 total cards of all types printed (204,000 packs x 4 cards per)
- There were 738,609 total base cards printed (816,000 - 51,000 - 17,000 - 8,500 - 891)
- There were 3693 base cards printed for each of the 1-200 players (738,609 / 200)
- There were 8,500 boxes made like the one I opened (204,000 / 24)
If you spot any flaw in this reasoning please let me know! I hope you find this to be tremendously useful in your every day life just like my math teacher always told me I would!
Scott
Comments
One question though... If a train leaves Birmingham at 630 travelling 45 mph and another train leaves Nashville at 830 travelling 55 mph...Nevermind (Just joking). Very informative post and much detail put into it.
Nicely explained. You might be interested in checking out some of the product threads on the Blowout forums - the overall environment there may not be for everyone, but they usually calculate print runs within minutes of products and odds being released. Could save you some work or be a way for you to double-check your math.
Jim
i believe you are supposed to start w the odds of pulling a super, aren't you?
not saying your math is wrong. just that there may be a simpler method of calculation.
i no math good, so i always cheat and go to blowout as burghman suggested.
I wasn't aware of that site but now I know... And knowing is half the battle.