6/49 Jackpot Odds Combination
Compute fixed unordered six-of-49 jackpot coverage for explicitly distinct tickets and one fair draw; duplicate tickets do not increase coverage, no additional bonus ball/prize tiers or profit implication.
Description
A 6-of-49 lottery has a fixed number of unordered distinct combinations.
A 6-of-49 lottery has a fixed number of unordered distinct combinations. Coverage probability depends on distinct tickets.1
Enter a nonnegative integer distinct-ticket count through 13983816. Return total combinations as a decimal string and coverage probability.
When to use 6/49 Jackpot Odds Combination
Use 6/49 Jackpot Odds Combination when you need to evaluate the supplied records under the calculation and evidence rules below. Repeated tickets must not be counted as distinct; no payout or expected financial return is calculated.
Prepare the supplied game state, observations and explicit variant settings. Follow the card, board, coordinate and state conventions in the calculation rules.
How to use 6/49 Jackpot Odds Combination and understand its results
- Prepare the supplied game state, observations and explicit variant settings. Follow the card, board, coordinate and state conventions in the calculation rules.
- Enter distinctSixNumberTickets using the field table and calculation rules, then run the tool.
- Read exactSixOfFortyNineCombinationCount, coveredDrawProbability. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| distinctSixNumberTickets | Distinct six number tickets | number | Required |
Enter a nonnegative integer distinct-ticket count through 13983816. Return total combinations as a decimal string and coverage probability.
combinations=13983816; probability=distinctTickets/combinations Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| exactSixOfFortyNineCombinationCount | Exact six of forty nine combination count | string |
| coveredDrawProbability | Covered draw probability | number |
{
"input": {
"distinctSixNumberTickets": 2
},
"output": {
"exactSixOfFortyNineCombinationCount": "13983816",
"coveredDrawProbability": 1.4302247684037032e-7
}
}Limitations and assumptions
Repeated tickets must not be counted as distinct; no payout or expected financial return is calculated.
Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Poker Outs Rule of 2 and 4: An outs model counts drawing at least one favorable card without replacement. Common 2%/4% rules are approximations. For a complementary task, use Drop Rate Geometric Attempts To Success: A geometric waiting model assumes an independent fixed success probability on every attempt. A confidence target asks for a minimum whole draw count.
References
-
6/49 Jackpot Odds Combination — tool.io
Similar or alternative tools
- Poker Outs Rule of 2 and 4
An outs model counts drawing at least one favorable card without replacement. Common 2%/4% rules are approximations.
- Drop Rate Geometric Attempts To Success
A geometric waiting model assumes an independent fixed success probability on every attempt. A confidence target asks for a minimum whole draw count.