Lottery Odds Calculator
Lottery Odds is evaluated from Lottery Game, Pool Size and Numbers to Pick. The calculation reports Jackpot Odds, Probability and Expected Value per $1 ticket.
Results
About the Lottery Odds Calculator
The calculator uses a multi formula configuration. Each reported value is read as a direct evaluation of the stored rules with the declared field formats and units.
Formula basis:
Jackpot odds = C(n,r) for main numbers x bonus ball pool size. Probability = 1 / odds. Expected value accounts for lump sum discount and federal tax.
Interpret the outputs in the order shown by the result fields. Optional inputs affect only the outputs that depend on those variables.
Formula & How It Works
The calculation applies the following relations exactly as recorded in the metadata: Jackpot odds = C(n,r) for main numbers x bonus ball pool size. Probability = 1 / odds. Expected value accounts for lump sum discount and federal tax. Each output field is produced by substituting the supplied inputs into the relevant relation and then applying the declared rounding or text format.
Worked Examples
Example 1: Powerball: $500 million jackpot
Inputs
With Lottery Game = powerball and Current Jackpot = 500,000,000 as the stated inputs, the result is Jackpot Odds = 292,201,338, Probability = 0.0000000034 and Expected Value per $1 ticket = $0.3532. Each value corresponds to the declared output fields.
Example 2: Mega Millions: $300 million jackpot
Inputs
With Lottery Game = megamillions and Current Jackpot = 300,000,000 as the stated inputs, the result is Jackpot Odds = 302,575,350, Probability = 0.0000000033 and Expected Value per $1 ticket = $0.6252. Each value corresponds to the declared output fields.
Example 3: Pick 3: Exact order match
Inputs
With Lottery Game = pick3 and Current Jackpot = 500 as the stated inputs, the result is Jackpot Odds = 1,000, Probability = 0.001 and Expected Value per $1 ticket = $0.811. Each value corresponds to the declared output fields.
Example 4: Custom: 6 numbers from pool of 49 (Lotto 6/49 style)
Inputs
With Lottery Game = custom, Pool Size = 49, Numbers to Pick = 6 and Current Jackpot = 10,000,000 as the stated inputs, the result is Jackpot Odds = 13,983,816, Probability = 0.0000000715 and Expected Value per $1 ticket = $0.7297. Each value corresponds to the declared output fields.
Common Use Cases
- Calculate Powerball and Mega Millions jackpot odds
- Find odds for Pick 3 and Pick 4 games
- Understand expected value of lottery tickets