Calculate Your Odds, Analyze Strategies, and Make Informed Decisions

Lottery Parameters

Jackpot Odds
1 in 292,201,338
Win Probability
0.00000034%
Expected Value
-$1.66
Break-Even Jackpot
$584M

Probability of Winning Over Multiple Drawings

💡 Key Insights

Your odds of winning 1 in 292 million
Expected return per ticket -$1.66 (83% loss)
Tickets needed for 50% chance 202 million

Raffle Parameters

Your Win Odds
1.0%
Your Investment
$50
Expected Return
$5
Expected Loss
-$45

Raffle Probability Distribution

🎯 Raffle Analysis

Chance of winning at least once 9.56%
Fair ticket price (break-even) $5.00
Your share of total tickets 1.0%

Lottery Odds Comparison

Popular Lottery Odds Comparison

Comparative Probabilities

Powerball Jackpot 1 in 292,201,338
Mega Millions Jackpot 1 in 302,575,350
EuroMillions Jackpot 1 in 139,838,160
Lotto 6/49 Jackpot 1 in 13,983,816
For comparison: Being struck by lightning 1 in 500,000
For comparison: Hole-in-one (golf) 1 in 12,500

📊 Understanding the Odds

The odds of winning major lottery jackpots are astronomically low. To put this in perspective, you're more likely to be struck by lightning multiple times, become a movie star, or find a four-leaf clover on your first try than to win the Powerball jackpot. These extremely long odds are by design to create the massive jackpots that attract players.

Syndicate Configuration

Your Share
10%
If Jackpot Won
$10M
Cost Per Member
$20
Improved Odds
100x Better

Syndicate vs Individual Comparison

⚖️ Syndicate Pros & Cons

✅ Advantages

  • Better odds with more tickets
  • Lower individual cost
  • Shared risk and excitement
  • Professional management possible

❌ Disadvantages

  • Smaller individual winnings
  • Trust and legal issues
  • Management fees
  • Complex tax implications

Lottery Number Generator

Statistical Analysis & Simulations

Normal Distribution Model

52-Week Loss Simulation ($10/week)

📈 Key Statistical Findings

Expected annual loss ($10/week) -$520
Probability of profit after 1 year < 0.1%
Average return on investment -83%

Understanding Probability

Interactive Examples

Probability Examples

Getting all heads 0.098%
Rolling double sixes 2.78%
Royal flush in poker 0.000154%
Any pair in poker 42.26%

📚 Key Probability Concepts

Independent Events: Each lottery drawing is independent. Previous results don't affect future outcomes.

Expected Value: The average outcome if you played infinitely. For lotteries, this is almost always negative.

Gambler's Fallacy: The mistaken belief that past results influence future independent events.

Law of Large Numbers: Over many trials, actual results converge toward expected probability.