๐Ÿบ Tree Beer Pong Simulator ๐Ÿ“

The Totally Scientificโ„ข Analysis of When to Remove a Cup

โš™๏ธ Opponent's Skills (Set Their Accuracy)

Blind ๐Ÿ™ˆ Sniper ๐ŸŽฏ
10%
Rim ๐Ÿ€ Splash ๐Ÿ’ฆ
5%
Shot ๐Ÿฅƒ Bucket ๐Ÿชฃ
100%

๐ŸŽฎ Live Game Animation

Miss
Hit (ยฝ beer)
Sink (full beer)
Hit: 10% | Sink: 5%

๐Ÿ”ฅ Monte Carlo Heat Map (50 Shots)

10 500
50
0
Sinks
0
Hits
0
Misses
0/11
Cups Out
0
Beers

๐Ÿง  Double-Fault Penalty Calculator

The Scenario: Opponent missed two serves (ball off table twice). YOU choose their punishment:

  • Option A: Remove a half-full cup entirely (fewer targets)
  • Option B: Wound a full cup to half (cup stays, but damaged)

๐Ÿบ Projected Drunkeness Level

Sober ๐Ÿ˜‡ Tipsy ๐Ÿ˜Š Drunk ๐Ÿฅด Wasted ๐Ÿคช Legend ๐Ÿ‘‘

Calculating optimal strategy...

๐Ÿ“œ Tree Rules (For the Uninitiated)

๐Ÿ“Š The Math Behind the Madness

The Two Strategies:

๐Ÿฅค Option A: Remove the Half Cup

  • 10 cups remain (down from 11)
  • ~9% smaller target area
  • You save 0.5 beers immediately
  • Reduces ALL future hit probability

๐Ÿบ Option B: Wound the Full Cup

  • 11 cups remain (one wounded)
  • Full target area preserved
  • Opponent drinks 0.5 NOW
  • Wounded cup clears on next hit

๐ŸŽฏ 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.