Card combinations

Browse combinations

Suit holdings with the odds of the best line for each. Filter by how many cards the two hands hold, how many entries the line needs, or how often it makes.

Holding Cards
Playing for Best line makes it
Entries at worst
K8 opposite AT9xxxx 9 6 100.0% 1 The line
K8 opposite AT9xxxx 9 7 46.35% 0 The line
K8 opposite AT97xxx 9 6 100.0% 1 The line
K8 opposite AT97xxx 9 7 46.35% 0 The line
K8 opposite AJxxxxx 9 6 95.22% 0 The line
K8 opposite AJxxxxx 9 7 53.13% 0 The line
K8 opposite AJ7xxxx 9 6 95.22% 0 The line
K8 opposite AJ7xxxx 9 7 53.13% 0 The line
K8 opposite AJ9xxxx 9 6 100.0% 1 The line
K8 opposite AJ9xxxx 9 7 53.13% 0 The line
K8 opposite AJ97xxx 9 6 100.0% 1 The line
K8 opposite AJ97xxx 9 7 53.13% 0 The line
K8 opposite AJTxxxx 9 7 53.13% 0 The line
K8 opposite AJT7xxx 9 7 53.13% 0 The line
K8 opposite AJT9xxx 9 7 53.13% 0 The line
K8 opposite AJT97xx 9 7 53.13% 0 The line
K8 opposite AQxxxxx 9 7 90.43% 0 The line
K8 opposite AQ7xxxx 9 7 90.43% 0 The line
K8 opposite AQ9xxxx 9 7 90.43% 0 The line
K8 opposite AQ97xxx 9 7 90.43% 0 The line
K8 opposite AQTxxxx 9 7 95.22% 0 The line
K8 opposite AQT7xxx 9 7 95.22% 0 The line
K8 opposite AQT9xxx 9 7 95.22% 0 The line
K8 opposite AQT97xx 9 7 95.22% 0 The line
K8 opposite AQJxxxx 9 7 100.0% 0 The line
49451–49475 of 72,594 results
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What one row is

Each row is a holding and a target: these cards, this many tricks. The same cards played for a different number of tricks need a different line, so a holding can appear more than once. We cover five to eleven cards between the two hands, and leave out holdings where the obvious play is already right.

Reading the columns

Best line makes it is how often the best line is sure to take the target. We assume the defenders can see all four hands and always play the card that hurts you most, even where a book would play something else. That makes these numbers lower than book odds, but you can rely on them. A plain finesse is 50%, for comparison.

Entries at worst is the most times the line might need to change hands, across every way the missing cards can lie. Filter to none to see what you can still play for when you have no way back to dummy.

Why the lengths are so uneven

Seven- and eight-card holdings have the most rows, often two for the same cards: one playing for the extra trick and one for the safe play, which need different cards. Eleven-card holdings have very few, because with only two cards missing there's rarely a decision to make. Short holdings are thin too, because there are too few cards to give you a choice.