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--And possibly random shopping.

I found a tourist trap shop that has an abundant supply of now-passe NASCAR Race Day packs. Race Day is a game that Wizkids put out in 2005~'06 with stock car models printed onto plastic card pieces that the user assembles. The track is a poster-sized sheet of paper that is also included in the game pack. (Suddenly I want to call it "NASCARcheezi".) I got five packs, opened them, and got a little educated on the game itself and the topic of "rarity" as it applies to such things.

There are three levels of rarity at play here: COMMON, UNCOMMON and RARE. Every pack in my sample had an Uncommon, and since there are twelve Uncommons in the set if the selection premise holds, then there is a 1 in 12 chance of getting any specific Uncommon in any pack. The remaining pieces in my sample were split between Commons and Rares 3 to 2, so if that held, then logically the likelihood of getting a specific Rare is 40% less than that of getting a specific Uncommon, since there are an equal number of Uncommons and Rares in the total series set.

Again presuming my selection premise is true, there is a 60% chance of getting a Common in any pack, and so because there are only 4 Commons in the set, a 15% chance of getting a specific Common. And a mathematic certainty of getting a specific Common from buying only seven packs at a random.

I'm glad that I didn't have a fandom reason to get into this earlier, but at the same time, I wish I could have done a better job learning probability math in college.
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Stephen R Bierce

March 2022

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