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Flip 7 Odds & Probability

Hitting and staying is a math problem. Here's the math.

You only bust one way

In Flip 7 there is exactly one thing that ends your round badly: drawing a number you already hold in your row. Action cards, modifiers, and numbers you don't yet have are all harmless. That means your bust risk on any given hit isn't some vague feeling — it's a fraction you can actually estimate.

Bust chance on the next hit ≈ (live duplicates of the numbers you hold) ÷ (cards still in the deck)

Everything else in this guide is just unpacking that one line.

Not all numbers are equally dangerous

Because a card's value equals how many copies exist, the numbers already in your row carry very different amounts of risk. Hold a 12 and there are up to eleven other 12s waiting to bust you. Hold a 2 and only one duplicate exists. Hold the 0 or the 1 — the only single-copy cards — and there is no duplicate at all.

Number you holdDuplicates that started in the deckDanger it adds
0 or 10None — it can never bust you
2 – 41 – 3Low
5 – 84 – 7Medium
9 – 128 – 11High

This is the single most useful fact in the game. Two hands can hold the same number of cards yet carry wildly different risk. A row of 0, 1, 2, 3 is almost bust-proof. A row of 9, 10, 11, 12 is a minefield — dozens of copies of those values are still live against you.

Estimating a real hit

Suppose early in a round your row is 3, 8, 11. Roughly how dangerous is one more card? Count the live duplicates: the deck started with two other 3s, seven other 8s, and eleven other 11s — about 20 cards that would bust you (minus any you've already seen leave the deck). With most of the ~94-card deck still unseen, that's very roughly a 1-in-5 chance of busting — worth the risk when your banked points are still small.

Now imagine your row is 0, 1, 2. Live duplicates: zero, zero, and one. Your bust chance is a rounding error. You should almost always keep hitting a hand like this.

Rule of thumb: your danger scales with which numbers you hold far more than with how many. Four low cards are safer than two high ones.

Hit or stay: the expected-value view

A hit is worth taking when the average points you gain outweigh the average points you risk. Put simply:

Hit when: (chance you survive × points a new card adds) > (chance you bust × points you'd lose)

Two things follow from this. First, early in a round you should hit freely — you're risking only a few banked points against a low bust chance, so almost any hit is profitable. Second, the more you've banked, the more a bust costs, so the same bust chance becomes a worse deal as your row grows. That's why good players get greedy early and cautious late.

Unique numbers heldTypical stance (fresh deck)
1 – 3Hit — bust chance small, points to gain.
4 – 5Judgment call — weigh your live duplicates against banked points.
6One more unique = Flip 7 (+15). Usually worth a hit, especially with a Second Chance in hand.
Row full of high numbersLean toward Stay earlier than the count suggests.

Card counting makes the estimate sharper

You don't have to track all 94 cards — just two things. First, your own row tells you exactly which numbers now threaten you. Second, the high numbers already played this deck: every 12 that has appeared is one fewer 12 that can bust your own 12. If a pile of high cards has already come out, holding your own high card just got safer.

When the deck runs out mid-round it reshuffles the discard pile into a fresh deck, which resets everything you were tracking — so a reshuffle is a good moment to reset your caution too.

Second Chance changes the math. While you hold one, your effective bust chance on the next hit is near zero — it absorbs the first duplicate. That's exactly when pushing for a Flip 7 pays off.

The short version

For how to convert these odds into round-by-round decisions, read the Strategy & FAQ guide; for what each number and card actually is, see the Card Guide.

Put the odds to work

Reading about probability is one thing. Go push your luck.

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