This guide explains the mathematical terms used by the Cash Pot combination and wheel tools. Coverage results are conditional calculations about selected pools; they are not forecasts or guarantees of a future draw.
Number pools
A selected pool is the user-defined set of Cash Pot numbers being investigated or used to build combinations. It is a working set for the calculation, not an inherently predictive set of numbers.
The coverage calculator accepts pools of 6 through 15 current numbers. The pool is distinct from the full current range of 20 numbers.
Combinations
A combination is an unordered selection of numbers. The Combination Explorer can examine pairs, triplets, quads and five-number combinations within a selected pool. Unordered means that 3, 7 and 12 represent the same combination regardless of the order in which they are written.
The tools count these combinations in recorded draws or generate them from a selected pool. They do not treat a more frequently recorded combination as having a changed theoretical chance in a future draw.
Full wheels
A full five-number wheel contains every possible five-number combination from the selected pool. For a pool of n numbers, its size is written as C(n,5), meaning the number of ways to choose five numbers from that pool without regard to order.
For example, a pool of 6 numbers contains C(6,5), or 6, possible five-number tickets. A larger pool produces more possible combinations, which is why a full wheel can become expensive or unwieldy.
Ranked wheels
The Combination Wheel can score combinations using historical measurements such as frequency, relationships and gaps. Ranked mode generates combinations and displays them according to that historical score.
A historical rank is a descriptive ordering under the selected model. It does not mean that a combination has a higher theoretical winning probability.
Positional wheels and verification
In a positional wheel, position numbers refer to positions in the user’s selected pool. Position 1 means the first number in that selected pool; it does not necessarily mean Cash Pot number 1.
The Wheel Verifier checks the tickets against every possible five-position winning subset for the chosen pool size. It reports the best overlap available for each subset and whether the requested target, such as 4-of-5, is met across the complete positional pool.
This verifies the submitted wheel’s stated positional coverage. It does not verify that the winning Cash Pot numbers will be inside a user’s pool, and it does not guarantee a prize or future result.
Reduced coverage constructions
The Coverage Calculator uses deterministic verified constructions rather than randomly dropping tickets from a full wheel. Current supported pool sizes are 6 through 15:
- Pool 6 → 1 ticket
- Pool 7 → 3 tickets
- Pool 8 → 5 tickets
- Pool 9 → 9 tickets
- Pool 10 → 14 tickets
- Pool 11 → 22 tickets
- Pool 12 → 35 tickets
- Pool 13 → 48 tickets
- Pool 14 → 69 tickets
- Pool 15 → 95 tickets
For pool sizes 6–9, the current construction metadata identifies the ticket count as having exact minimum status. For pool sizes 10–15, the site identifies the result as a verified construction and known upper bound. The latter should not be described as mathematically minimal.
Conditional 4-of-5 coverage
This is a conditional statement. It does not guarantee that the five winning numbers are inside the selected pool. It does not guarantee a winning ticket, a prize, a jackpot or any future result.
Pool inclusion probability
Pool inclusion asks a different question: what is the probability that all five winning numbers fall inside the selected pool? For a pool of n numbers, the current tool calculates this as:
In plain language, the numerator counts the five-number outcomes contained by the selected pool, while the denominator counts all five-number outcomes in the current 1–20 model.
Pool inclusion probability measures whether the selected pool contains the complete winning set. Conditional wheel coverage measures what the generated tickets cover after that condition is already true. A strong conditional guarantee cannot remove the separate risk that the winning numbers fall outside the pool.
Explore wheels and coverage
Use the interactive pages to inspect the related calculations: