Card combinations

QJT opposite 87xxx

Difficulty: Trivial

Playing for 3 tricks.

Best line makes it
73.48%
Entries, this line
2
to dummy, on the deal below
Entries, worst case
4
the most it can need

Nothing to decide

No card a layout rewards loses odds here. The figure is the break, or the one line that reaches the target, and every other card throws a trick away outright. This is a page to look up, and the doors never pose it as a problem.

Play it yourself

The line below is one playthrough against one deal. To ask what a different card would have been worth — or what happens when the king sits the other way — take the same cards to the explorer, where you play all four hands and every card you could choose is priced. Nothing there is recorded.

The line

Played against West 9 and East AKxx. Not the likeliest lie — the one that defeats the most careless play, which is the one worth showing.

Lead Cards Won by Entry
1 north N:T E:5 S:7 W:9 north
2 north N:J E:6 S:8 W:— north
3 north N:Q E:K S:2 W:— east
4 south S:3 W:— N:— E:A east yes
5 south S:4 W:— N:— E:— south yes

The same cards, a different target

A different number of tricks is a different problem, with its own best line.

More 8-card combinations · Browse the catalogue

Odds are the share of lies on which this line guarantees the target against best defence — the card that hurts you most, whether or not it is the card a book would play. An entry is counted each time the lead has to change hands, in either direction. The first lead is free from either hand — you broach the suit from wherever you are.