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Flip 7

Flip 7: when to stop? The probability of a duplicate, card by card

Flip 7 comes down to a single question, asked at every card: one more, or do I stop? Most players answer on instinct. The deck, though, is perfectly known, and it lets you answer with numbers.

In short

In Flip 7, the risk of a duplicate depends on the cards you hold, not on how many: each number exists in as many copies as its value. Holding 12-11-10, one flip in three is a duplicate; holding 5-4-3-2, one in nine. Simple rule: stop at around 25 points, except with six small cards, where the 7th-card bonus is worth the risk.

A game of Flip 7 at our table.

The deck: 94 cards, and 12s everywhere

The game contains 79 number cards: a single 0, a single 1, two 2s, three 3s… and twelve 12s. Each value exists in as many copies as it is worth in points. Add 9 action cards (3 Freeze, 3 Flip Three, 3 Second Chance) and 6 modifiers (+2, +4, +6, +8, +10 and ×2), for 94 cards.

The consequence is counter-intuitive: the more a card is worth, the more twins it has in the deck. Holding a 12 means knowing that eleven 12s are still out there to lose you the round. Holding a 2 means fearing only one. So the risk of a duplicate does not depend on the number of cards in front of you, but on their value.

The risk table, hand by hand

Probability that the next card flipped is a duplicate, for a fresh deck from which only your own cards have come out (the other players’ cards change the figures a little, see below):

Cards in handTotalRisk of a duplicate on the next flipVerdict
121212%Keep going
3, 253%Keep going
12, 112323%Borderline
12, 11, 103333%Stop
12, 8, 4, 12523%Borderline
5, 4, 3, 21411%Keep going
12, 11, 10, 94242%Stop
12, 11, 10, 9, 85051%Stop
6, 5, 4, 3, 2, 12117%Go for the 7th
12, 9, 6, 3, 1, 03130%Go for the 7th
12, 11, 10, 9, 8, 75758%Stop, even for the bonus

The calculation is easy to redo at the table: for each card in hand, add up its value minus one (the number of twins still in the deck), and divide by the number of cards left in the deck. With 12-11-10: (11 + 10 + 9) / 91 ≈ 33%.

The 25-point rule

Risk alone is not enough: you have to weigh it against the gain. Continuing earns 6 to 9 points on average when it works, and loses the whole total when it busts. With 33 points in front of you and a 33% risk, the expected value of the next flip is about −8 points: stop. With 14 points and an 11% risk, it is +5: keep going.

We ran 200,000 simulated rounds with several stopping rules (treating the action cards as neutral). Result: stopping as soon as you reach 25 points is the best simple rule, at about 18 points per round on average. Stopping at 20 does just as well; waiting for 35 brings the average down to 15, waiting for 45 to 9. And the rule “I stop at three cards” is worth almost as much as the 25-point rule — because at three cards you are generally around 25.

The 7th card: when the bonus overturns the calculation

Flipping seven different numbers earns a 15-point bonus and ends the round for everyone. At six cards, the gain from a successful flip is therefore no longer “the value of the card” but “the value plus 15”. That changes the verdict… for small hands only. With 6-5-4-3-2-1 (21 points, 17% risk), going for the 7th is worth +13 points of expected value: go without a second thought. With 12-9-6-3-1-0 (31 points, 30%), it is still slightly positive. With 12-11-10-9-8-7 (57 points, 58% risk), the bonus does not make up for it: keep your 57.

What the action cards and modifiers change

  • Second Chance cancels a duplicate: as long as you hold it, your real risk is close to zero for one flip. That is the moment to push a hand you would otherwise have stopped.
  • Freeze forces a player to stop: give it to whoever has the biggest running total, or to yourself if you want to lock in 30 points without tempting fate.
  • Flip Three forces three flips in a row: played on someone holding 12-11-10, it is a bomb (they have more than two chances in three of busting). On someone holding 3-2, it is a gift.
  • The modifiers never make a duplicate; on the other hand, they do not count towards the seven numbers, and a duplicate loses them too. A +10 in hand is one more reason to stop early.

Finally, look around the table: the cards flipped by the other players are out of the deck. If three 12s are already showing, your 12 has only eight twins left, and your risk drops accordingly.

At the end of the game, the calculation changes

The game is played to 200. As long as you are in the pack, the 25-point rule is the right one. But if an opponent is on 185 and you are on 120, a cautious round is no use: they will cross 200 and you will not have caught up. In that case, push on to 40 or 50 points, or even to the 7th card, because only a big round changes the outcome. Conversely, the player in the lead plays shorter than usual. The site’s Flip 7 counter shows the points still needed to reach 200 as soon as someone passes 150: that is the moment to switch rules.

Frequently asked questions

How many cards are there in Flip 7?

94: 79 number cards (from 0 to 12, each value existing in as many copies as it is worth, the 0 only once), 9 action cards and 6 modifiers.

What is the probability of a duplicate with three cards?

It depends on the cards: 33% with 12-11-10, but 6% with 3-2-1. Add up each card’s value minus one, and divide by the cards remaining.

Should you always go for the 7th card?

No. The 15-point bonus makes the flip worthwhile with six small cards (under about 30 points), not with six big ones, where the risk is over 50%.

Does the ×2 double the modifiers?

No, only the sum of the numbers; the modifiers are added afterwards, then the 15-point bonus if there is one.

Published on 2 October 2026, updated on 13 October 2026.