Lottery & Raffle Probability Calculator

📝 About these methods:

• True Random: Pure uniform draw — same odds as a Quick Pick from the terminal.
• Avoid Common: Skips dates (1–31). Many players pick birthdays, so winning sets that avoid the <32 range are split among fewer winners on average.
• Spread: One number from each third of the pool. Reduces variance of "where" your numbers cluster.
• Balanced: Roughly equal odd/even and low/high counts — popular wisdom is that statistically winning combinations tend to look like this, though the math says it doesn't matter for win probability.

💡 Putting it in context: The Powerball jackpot odds (1 in 292M) are roughly 600× longer than your lifetime odds of being struck by lightning. To have an even-money chance of winning a Powerball jackpot in your lifetime, you'd need to buy ~1 ticket per second from age 0 to 100.

🧮 Independent Events: Each lottery drawing is independent. The numbers that came up last week have no effect on this week's draw. The "due number" idea is the gambler's fallacy.

📐 Expected Value (EV): Average outcome if you played infinitely. For nearly all lotteries this is negative — that's how the lottery makes money. Only when a Powerball/Mega Millions jackpot rolls over to extreme levels does the naive EV cross zero, and even then jackpot splits typically erase the edge.

⚖️ Law of Large Numbers: Over thousands of plays, your actual results converge toward the EV. Short term, anything can happen. Long term, the house wins exactly the house edge.

🎂 Birthday Paradox: Only 23 random people are needed for a 50% chance two share a birthday. This counterintuitive result is the core reason lottery jackpots split: even when individual win odds are tiny, with millions of tickets sold the chance of multiple winners is meaningful.