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Once you have received all of your card drops, you become eligible for a booster pack, which is a set of 3 trading cards that may include both basic and foil cards. Booster packs are granted randomly to eligible users as more badges are crafted by members of the community. Make sure you log in to Steam each week to maintain eligibility.
Once eligible, your Steam Level increases your rate of receiving a booster pack drop:
Level 10: +20% increase in your drop rate
Level 20: +40% increase in your drop rate
Level 30: +60% increase in your drop rate
Level 40: +80% increase in your drop rate
Level 50: +100% increase in your drop rate (i.e. the rate has doubled)
Etc.
https://steamcommunity.com/tradingcards/faq
Booster packs are given out when badges are crafted for that game. So having collected all the cards in a number of games should give you a better chance to get a booster pack from some game or another. It won't actually increase the drop rate of boosters in general, though.
See, that was actually helpful, thank you.
https://youtu.be/sjfOkU4db0w
This
it is not pure math, since there are restrictions that prevent you from getting boosters. if you get a boosterpack your chance to receive a booster pack is zero for a level-dependent amount of time. at level 140 this is 89 hours.