Lottery Odds Calculator

Select 5 numbers (1-69)

Select 1 Powerball number (1-26)

Odds Results

1 in 292,201,338
1 in 11,238,513
Main Numbers
C(69,5) = 11,238,513
1 in 26
Bonus Numbers
C(26,1) = 26

Probability Breakdown

Jackpot (All Numbers): 0.0000000034%
5 Main Numbers: 0.000000089%
4 Main + Bonus: 0.0000023%
4 Main Numbers: 0.000061%

Mathematical Reality

These odds are mathematically precise based on combinatorial formulas. For context: your lifetime odds of being struck by lightning (US) are 1 in 15,300 - about 19,000× more likely than winning the Powerball jackpot.

Lottery Rules & Data

Powerball

Main Numbers: 5 from 1-69
Bonus Numbers: 1 from 1-26
Jackpot Odds: 1 in 292,201,338
Ticket Cost: $2.00
Draw Days: Monday, Wednesday, Saturday

Mega Millions

Main Numbers: 5 from 1-70
Bonus Numbers: 1 from 1-25
Jackpot Odds: 1 in 302,575,350
Ticket Cost: $2.00
Draw Days: Tuesday, Friday

EuroMillions

Main Numbers: 5 from 1-50
Bonus Numbers: 2 from 1-12
Jackpot Odds: 1 in 139,838,160
Ticket Cost: €2.50
Draw Days: Tuesday, Friday

EuroJackpot

Main Numbers: 5 from 1-50
Bonus Numbers: 2 from 1-10
Jackpot Odds: 1 in 95,344,200
Ticket Cost: €2.00
Draw Days: Tuesday, Friday

SuperEnalotto

Main Numbers: 6 from 1-90
Bonus Numbers: 0 from 1-90
Jackpot Odds: 1 in 622,614,630
Ticket Cost: €1.00
Draw Days: Tuesday, Thursday, Saturday

UK Lotto

Main Numbers: 6 from 1-59
Bonus Numbers: 1 from 1-59
Jackpot Odds: 1 in 45,057,474
Ticket Cost: £2.00
Draw Days: Wednesday, Saturday

UK Set For Life

Main Numbers: 5 from 1-47
Bonus Numbers: 1 from 1-10
Jackpot Odds: 1 in 15,339,390
Ticket Cost: £1.50
Draw Days: Monday, Thursday

Irish Lotto

Main Numbers: 6 from 1-47
Bonus Numbers: 1 from 1-47
Jackpot Odds: 1 in 10,737,573
Ticket Cost: €2.00
Draw Days: Wednesday, Saturday

New Zealand Lotto

Main Numbers: 6 from 1-40
Bonus Numbers: 1 from 1-40
Jackpot Odds: 1 in 3,838,380
Ticket Cost: NZ$1.00
Draw Days: Wednesday, Saturday

Australia Powerball

Main Numbers: 7 from 1-35
Bonus Numbers: 1 from 1-20
Jackpot Odds: 1 in 134,490,400
Ticket Cost: A$1.40
Draw Days: Thursday

Lotto Max

Main Numbers: 7 from 1-50
Bonus Numbers: 0 from 1-50
Jackpot Odds: 1 in 33,294,800
Ticket Cost: C$5.00
Draw Days: Tuesday, Friday

Mathematical Formulas

Combinatorial Mathematics

Lottery odds are calculated using combinatorial mathematics. The formula for combinations is:

C(n,r) = n! / (r! × (n-r)!)

For Powerball:
Main numbers: C(69,5) = 11,238,513
Bonus numbers: C(26,1) = 26
Total combinations: 11,238,513 × 26 = 292,201,338

Lottery Rules

Game configurations:

  • Powerball and Mega Millions
  • EuroMillions and EuroJackpot
  • State lottery commissions
  • Government lottery databases

Accuracy: All formulas use the standard combinatorics formula C(n,r) = n! / (r! × (n-r)!).

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