First-passage and competing horizons
Time until target—or spending cap.
Survival is the probability that no R100,000-or-larger gross payout has occurred by a given month. Cumulative incidence is one minus survival.
- T
- Number of months until the first target payout.
- S(t)
- Probability that the target has not been reached by month t.
- 1 − S(t)
- Cumulative incidence of at least one target hit.
- Competing horizon
- R12,000 at month 12 or R36,000 at month 36 without a target.
96% theoretical RTP
Controlled jackpot slot
20 bets × R5050 bets × R20100 bets × R10200 bets × R5
97% theoretical RTP
Controlled crash target
20 bets × R5050 bets × R20100 bets × R10200 bets × R5
80% theoretical RTP
Controlled lottery tail
20 bets × R5050 bets × R20100 bets × R10200 bets × R5
90% theoretical RTP
Controlled virtual accumulator
20 bets × R5050 bets × R20100 bets × R10200 bets × R5
Winner timing and cost
Conditional summaries
Median timing is calculated among observed winners only. Population spend per winner retains all unsuccessful entrant paths in the denominator.
| Game | Strategy | Median months | Median spend before hit | 36-month no-hit | Population spend / winner |
|---|---|---|---|---|---|
| Controlled jackpot slot | 20 bets × R50 | 18.0 | R 17 150 | 82,03% | R 181 699 |
| Controlled jackpot slot | 50 bets × R20 | 18.0 | R 17 380 | 87,37% | R 269 022 |
| Controlled jackpot slot | 100 bets × R10 | 18.0 | R 17 820 | 91,39% | R 398 369 |
| Controlled jackpot slot | 200 bets × R5 | 18.0 | R 17 510 | 96,46% | R 1 005 309 |
| Controlled crash target | 20 bets × R50 | 17.0 | R 16 350 | 70,52% | R 102 976 |
| Controlled crash target | 50 bets × R20 | 17.0 | R 16 440 | 70,52% | R 103 023 |
| Controlled crash target | 100 bets × R10 | 17.0 | R 16 290 | 70,52% | R 103 939 |
| Controlled crash target | 200 bets × R5 | 17.0 | R 16 320 | 70,52% | R 103 952 |
| Controlled lottery tail | 20 bets × R50 | 19.0 | R 18 225 | 99,43% | R 6 624 418 |
| Controlled lottery tail | 50 bets × R20 | 18.0 | R 17 410 | 98,57% | R 2 538 564 |
| Controlled lottery tail | 100 bets × R10 | 19.0 | R 18 430 | 97,16% | R 1 244 041 |
| Controlled lottery tail | 200 bets × R5 | 18.0 | R 17 728 | 94,40% | R 619 792 |
| Controlled virtual accumulator | 20 bets × R50 | 17.0 | R 16 300 | 72,32% | R 111 804 |
| Controlled virtual accumulator | 50 bets × R20 | 17.0 | R 16 540 | 72,32% | R 110 017 |
| Controlled virtual accumulator | 100 bets × R10 | 17.0 | R 16 330 | 72,32% | R 111 293 |
| Controlled virtual accumulator | 200 bets × R5 | 17.0 | R 16 545 | 72,32% | R 111 268 |