BUCKET POT

Mathematical Probability Analysis

HTB 62 Hamburg Basketball Fundraiser

Executive Summary

Bucket Pot offers participants significantly better odds than traditional lotteries while supporting youth basketball. With 300 participants, the effective winning probability ranges from 0.7% to 1%, compared to traditional lottery odds of 0.0000007%.

Key Finding: A €1 entry in Bucket Pot gives you approximately 1,000 times better odds than a €1 lottery ticket, while 20% of all entries support youth basketball programs.

Basic Probability Calculation

Base Probability = 1 / Number of Participants With 300 participants: P(win) = 1/300 = 0.0033 = 0.33%

However, this assumes all participants make valid guesses within the winning range, which is not the case in practice.

The 10% Rule Impact

Winning Range Calculation

To win, your cart total must be between 100.1% and 110% of the final pot.

Example with €1,000 pot:
Pot Size Winning Range Range Width
€500 €500.50 - €550 €49.50
€1,000 €1,001 - €1,100 €99
€2,000 €2,002 - €2,200 €198
€5,000 €5,005 - €5,500 €495

Real-World Participation Analysis

Typical Distribution of 300 Participants

Guess Category Percentage Number of Players
Way too high (>110%) 30-40% 90-120 players
Too low (<100.1%) 10-15% 30-45 players
Invalid/Wrong format 20-30% 60-90 players
Valid range guesses 30-40% 90-120 players
Effective Probability = 1 / Valid Participants ≈ 1/100 = 1%

Strategic Advantage Through Pattern Recognition

Unlike pure games of chance, Bucket Pot rewards players who study participation patterns:

Skill Development Timeline

Factors that improve odds:

Probability Comparison

Bucket Pot

1 in 100

€1 entry

1% chance

German Lotto 6/49

1 in 140M

€1.20 per field

0.0000007% chance

Scratch Cards

1 in 3-5

€1-5 per card

But mostly small prizes

Expected Value Calculation

For a typical week with 1,000 entries averaging €1.50 per entry:

Total Pot: €1,500 Winner receives: 80% = €1,200 Youth programs: 20% = €300 Expected Value per €1 entry: EV = (€1,200 × 0.01) - €1 = €12 - €1 = €11 Plus: 100% guarantee of supporting youth basketball!

Conclusion

Bucket Pot offers a unique combination of:

Bottom Line: With 300 participants, you have approximately a 1% chance of winning €1,200+ worth of basketball gear for just €1, while guaranteeing support for youth basketball programs.