HiMillions

Lottery Calculators

Six tools built on combinatorial mathematics - odds, tax modeling, syndicate analysis, probability simulation, and number generation.

All Calculators

Odds Calculator

Calculates exact jackpot odds using C(n,r) = n!/(r!(n-r)!) for 11 major lotteries. Results match official operator publications.

Formula: C(n,r) × C(bonus_pool, bonus_count)

Example: Powerball: C(69,5) × 26 = 292,201,338

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Tax Calculator

Models after-tax winnings for 14 countries. US rates from IRS; international rates from government tax authorities.

Formula: Net = Prize × (1 - tax_rate)

Example: US: $1B × (1 - 0.37) ≈ $630M net (top bracket)

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Syndicate Calculator

Calculates group ticket coverage, per-member cost, and prize share. Odds improvement is exactly proportional to ticket count.

Formula: Odds_improvement = tickets_bought / 1

Example: 25 members × $10 = 125 tickets = 125× better odds, 1/25 of prize

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Probability Simulator

Monte Carlo simulation using Web Crypto API (cryptographically secure). Runs up to 10,000 simulated draws using real jackpot odds.

Formula: P(win in n draws) = 1 - (1 - 1/odds)^n

Example: 1,000 Powerball draws: expected wins ≈ 0.0034

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Win Forecast

Extended Monte Carlo simulation across 12 lotteries. Shows how probability behaves over time - not a prediction system.

Formula: Expected_wins = simulations × (tickets / odds)

Example: 10,000 draws × 1 ticket: Powerball expected wins ≈ 0.034

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Number Generator

Cryptographically secure random number generation using window.crypto.getRandomValues(). Configured for 11 major lotteries.

Formula: Fisher-Yates shuffle on [1..pool], pick first n

Example: Powerball: 5 from [1-69] + 1 from [1-26]

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Mathematical Foundations

The four formulas that power every calculator on this page.

Combinations formula

C(n,r) = n! / (r! × (n-r)!)

Calculates total possible lottery combinations. Powerball: C(69,5) × 26 = 292,201,338

Expected value

EV = Σ [P(prize) × prize_value] - ticket_cost

Always negative for lottery tickets. EV depends on current jackpot size - check official sites for live figures.

Probability of winning at least once in n draws

P = 1 - (1 - 1/odds)^n

To have a 50% chance of winning Powerball: n = ln(0.5)/ln(1 - 1/292,201,338) ≈ 202,500,000 draws

Syndicate odds improvement

New_odds = original_odds / tickets_bought

100 tickets in a Powerball syndicate: 292,201,338 / 100 = 1 in 2,922,013. Prize is split proportionally.

Advanced Calculator

Odds, cost analysis, syndicate comparison, and number generation - all in one tool. Covers Powerball, Mega Millions, EuroMillions, EuroJackpot, SuperEnalotto, and UK Lotto.

Game

Tickets

1

Budget

$

Number strategy

Pick a game and tap Run Analysis

Live jackpots & official results

For current jackpot amounts, visit the operator sites directly.

Live Jackpots & Results →

All Tools

Odds Calculator
Exact odds for 11 lotteries
Tax Calculator
After-tax for 14 countries
Number Generator
Cryptographically secure
Probability Simulator
Monte Carlo simulation
Win Forecast
Extended simulation
Syndicate Calculator
Group cost & prize split
Scratch-Off Odds
Enter ticket counts
Game Selector
Find your best lottery
Draw Calendar
All draw schedules

Related Resources

Lottery Odds Calculator

Exact odds for 11 major lotteries using combinatorial formulas

Calculator

Probability Simulator

Monte Carlo simulation using real jackpot odds

Simulator

Tax Estimator

After-tax winnings for 14 countries

Calculator

Number Generator

Cryptographically secure random picks for 11 lotteries

Tool

Research & Mathematics

Combinatorics, expected value, and probability theory with worked examples

Education

Statistics & Data

Odds and record jackpots from 10 major lotteries

Data