The Totally Scientificโข Analysis of When to Remove a Cup
The Scenario: Opponent missed two serves (ball off table twice). YOU choose their punishment:
Calculating optimal strategy...
The Two Strategies:
๐ฅค Option A: Remove the Half Cup
๐บ Option B: Wound the Full Cup
๐ฏ The Counterintuitive Truth:
Option B ("wound the cup") sounds clever โ you get guaranteed beer NOW and the wounded cup clears faster. But the math almost never favors it.
Why? Having 11 targets vs 10 is a ~10% increase in surface area. Even against terrible players, that extra cup gets hit occasionally. The 0.5 beer "penalty" you extracted doesn't offset the increased exposure over 50+ swings.
The only scenario where B wins: At extremely low accuracy (2-3% hit rate), the difference becomes statistically negligible โ flip a coin. But if there's ANY meaningful accuracy, Option A wins.
Bottom Line: The conventional wisdom is correct. Always remove the cup.