Euchre Bowers & Trump Calculator
Explore the Euchre bowers: naming trump moves a jack between suits, so the deck becomes 7, 5, 6 and 6 rather than four suits of six.
Pick a trump suit and watch the deck rearrange itself. The jack of the same colour leaves its own suit and becomes the second-highest trump, so one suit gains a card and another loses one. Deal a hand to see how many trumps you really hold. Everything runs in your browser; nothing is uploaded.
Naming trump redraws the deck
The left bower does not merely rank highly — it stops being its own suit. You must follow it as trump, and you cannot play it as the suit printed on it. So the moment trump is named the deck is no longer four suits of six:
| Trump | Trump suit | Same colour ("next") | The other two |
|---|---|---|---|
| clubs | 7 | 5 | 6, 6 |
| diamonds | 7 | 5 | 6, 6 |
| hearts | 7 | 5 | 6, 6 |
| spades | 7 | 5 | 6, 6 |
Seven, five, six, six — whichever suit is named. Exactly one card changes sides, it is always a jack, and it is always the one of the same colour, so the deck still adds up to 24.
With hearts as trump the order runs J♥ · J♦ · A♥ · K♥ · Q♥ · 10♥ · 9♥ — the top two are both jacks, one of them printed in another suit, and the ace is only the third-best card in the suit.
"Four suits of six" is true of the deck sitting on the table and false from the instant trump is named — which is the moment every decision in the game gets made.
Which is where two pieces of folklore come from
Your trump holding is bigger than it looks, because counting only the cards printed in the trump suit misses one. The chance of three or more trumps in five cards rises from 7.8% to 12.6% once the left bower is counted — which is where the habit of ordering up on what looks like a thin hand comes from.
| Trumps in a five-card hand | Counting the bower | Ignoring it |
|---|---|---|
| 0 | 14.6% | 20.2% |
| 1 | 39.2% | 43.2% |
| 2 | 33.6% | 28.8% |
| 3 | 11.2% | 7.2% |
| 4 | 1.4% | 0.6% |
| 5 | 0.0% | 0.0% |
And "calling next" is a real thing rather than a superstition. The same-colour suit is the one that lost a card, so it is the thinnest on the table: a hand holds three or more of an ordinary suit 7.8% of the time and three or more of the next suit only 4.2% — close to half as often. Nobody can hold six of it at all, because there are only five.
All of these are exact — hypergeometric arithmetic over a 24-card deck rather than simulation, and both columns of the table are checked to sum to one.
How to use
- Pick a trump suit and watch the deck rearrange itself.
- The jack of the same colour leaves its suit and becomes the second-highest trump.
- Deal a hand to see how many trumps you really hold.
- Change the trump suit to revalue the same hand.
- Compare the odds tables before deciding whether to order up.
Frequently asked questions
What is the left bower in Euchre?
The jack of the same colour as trump. It does not merely rank highly — it stops being its own suit entirely. You must follow it as trump, and you cannot play it as the suit printed on it.
How many cards are in each suit once trump is named?
Seven, five, six and six. The trump suit gains the left bower, the same-colour suit loses it, and the other two are untouched. Exactly one card changes sides, it is always a jack, and the deck still adds up to 24.
Can the left bower follow its printed suit?
No, and this is where the confusion usually is. If diamonds are led and hearts are trump, the jack of diamonds cannot be used to follow — it is a heart. But a player who is void in diamonds may play it, and it wins the trick, because trump beats the suit led.
Does the bower change how strong my hand is?
Yes, and by more than people expect. Counting only the cards printed in the trump suit understates it: the chance of holding three or more trumps in five cards rises from 7.8 per cent to 12.6 per cent once the left bower is counted.
Why do people talk about "calling next"?
Because the same-colour suit is the one that lost a card, so it is the thinnest suit on the table. A hand holds three or more of an ordinary six-card suit 7.8 per cent of the time, and three or more of the five-card next suit only 4.2 per cent — close to half as often. Nobody can hold six of it at all.
What is the full trump order?
Right bower, left bower, ace, king, queen, ten, nine. Both of the top two are jacks and one of them is printed in another suit, which means the ace is only the third-best trump rather than the best.
🔒 This tool runs entirely in your browser. Nothing you enter is uploaded, logged, or stored.