Win For Life probability and random selection answer different questions. This guide keeps the combinatorial model separate from historical comparisons and from the way Quick Pick creates a selection.
Main-combination probability
There are C(28,6) = 376,740 unique unordered six-number main combinations. Under the fair theoretical model, one specified main combination has probability:
Cash Ball probability
There are three possible Cash Ball values. One specified Cash Ball has probability:
This is calculated separately from the six-number main combination.
Complete result
One specified main combination together with one specified Cash Ball has probability:
Multiple-entry calculator
The current Win Probability Calculator uses:
1 − (1 − p)n
for n entered entries. It reports an independent-entry estimate for at least one exact main-combination hit and at least one exact main-plus-Cash-Ball hit.
The calculator accepts only a count and does not inspect actual line identities. Duplicate lines are not detected, and overlapping selections are not modeled as a complete exact joint-probability system. Duplicate lines do not create additional distinct combination coverage.
What is not calculated
The current tool does not calculate partial-match probabilities, payouts, return on investment or expected return.
Quick Pick
Quick Pick uses browser crypto.getRandomValues() to shuffle the 1–28 main-number pool, select six distinct main numbers, sort those mains for display and generate a separate Cash Ball from 1–3. Historical weighting is not used.
Randomness limitation
The implementation uses modulo reduction for shuffle indexes and Cash Ball generation without rejection sampling. That creates a very small modulo-bias limitation. This guide records the current behavior; it does not change the generator.
Historical versus theoretical probability
Historical frequency describes what occurred in recorded draws. Theoretical probability describes the combinatorial odds under the assumed fair model. Quick Pick is a random selection mechanism that does not use historical frequency. These concepts should not be merged.