Game Theory Analysis
BLITZ
Blitz
Shuffle only · House Edge 2.00%
Blitz is a Shuffle-exclusive card game with a fixed 2% house edge. You choose how many cards to draw, from 5 to 36, and you only win if every card in the sequence is different.
The twist is that draws behave as if they are made with replacement. Even if a card already appeared, it can still appear again later, which means every extra draw adds more duplicate risk instead of reducing it.
That makes Blitz a pure pricing game: smaller picks win more often for smaller payouts, while larger picks become long-shot bets with massive multipliers.
Blitz quick sim
Pick how many cards to draw. Results assume Shuffle's fixed 2% edge and exact all-unique pricing.
EV -0.02
House Edge
2.00%
P(all unique)
39.71337%
Win Multiplier
2.468x
STD
1.207
OVERVIEW
Blitz is a one-shot card uniqueness game built around avoiding duplicates.
SETUP
- Choose your bet amount.
- Choose how many cards to draw: 5 to 36.
ROUND FLOW
- The game reveals
ncards, wherenis the number you selected. - You win only if all
nrevealed cards are distinct. - If any card repeats a rank-and-suit combination that already appeared earlier in the same round, the attempt loses.
IMPORTANT QUIRK
- Draws are modeled with replacement.
- That means seeing
A♠once does not removeA♠from future draws. - So unlike normal deck dealing, previous cards do not make later draws safer.
PICK-COUNT TRADEOFF
- Fewer cards -> higher win rate -> lower payout.
- More cards -> lower win rate -> higher payout.
- There is no in-round strategy after you choose
n; the whole decision is how much duplicate risk you want to take before the reveal starts.
OVERVIEW
Because Blitz redraws from the full 52-card deck every time, it is not ordinary drawing without replacement. The chance of staying alive shrinks each time you need one more new card.
PARAMETERS
| Symbol | Meaning |
|---|---|
n | chosen draw count, from 5 to 36 |
P_unique(n) | probability that all n cards are different |
M(n) | total payout multiplier for a winning n-card attempt |
WIN PROBABILITY
The first card can be anything. The second must avoid 1 seen card, the third must avoid 2 seen cards, and so on.
Equivalent compact form:
PAYOUT PRICING
If Blitz is priced at a fixed 2% house edge, the winning multiplier for a given pick count is:
EXPECTED VALUE
So if the payout table follows that pricing rule, every allowed draw count has the same base RTP: 98%. Picking more cards changes volatility, not long-run edge.
EXAMPLE PICK COUNTS
Draws n | Win probability | 98% RTP multiplier |
|---|---|---|
| 5 | 82.028378% | 1.1947x |
| 10 | 39.713370% | 2.4677x |
| 15 | 10.662557% | 9.1910x |
| 20 | 1.466931% | 66.8061x |
| 25 | 0.093236% | 1051.1001x |
| 36 | 0.000006% | 15181603.6192x |
HOW TO THINK ABOUT PICK SIZE
- 5 to 10 cards are the lower-volatility end: you cash more often, but the upside is modest.
- 15 to 20 cards already move into long-shot territory, where wins are much rarer but payouts become meaningful.
- 25+ cards are essentially lottery-ticket picks. The multiplier looks huge because the hit rate is tiny.
KEY INSIGHT
If the table is priced correctly, there is no mathematically best pick count in EV terms. The only thing you are choosing is variance: frequent small wins versus rare giant ones.
WHY BLITZ FEELS DIFFERENT
Players often instinctively think that once a card has appeared, it should be gone from the deck. Blitz does not work like that. Because repeats remain possible on every draw, duplicate risk compounds much faster than many people expect.
PROVIDER AVAILABILITY
| Provider | Availability | Base RTP | Base House Edge | Notes |
|---|---|---|---|---|
| Shuffle | Available | 98.00% | 2.00% | Current exclusive provider. |
First Casino
Live Economics
House edge: 2.000%
House Edge after Rakeback: 2.000%
STD: 1.21
Max Possible Win: 1.47x
Second Casino
Live Economics
House edge: 2.000%
House Edge after Rakeback: 2.000%
STD: 1.21
Max Possible Win: 1.47x
Shared Session