Bridge Hand Evaluator Calculator
Evaluate a bridge hand using high card points, distribution points, and trick-taking potential.
Reviewed for accuracy by Daniel Agrici, Founder & Lead Developer
Bridge Hand Evaluator Calculator
Calculator
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Formula: HCP = Aces x 4 + Kings x 3 + Queens x 2 + Jacks x 1
Worked example — HCP: 17 | Total: 17 | Balanced | Opening: 1NT
Formula
HCP = Aces x 4 + Kings x 3 + Queens x 2 + Jacks x 1
High Card Points use the Milton Work count. Distribution points add 1 for each card beyond 4 in a suit (length) or 3/2/1 for void/singleton/doubleton (support). Total points guide opening bids and contract levels.
Worked Examples
Example 1: Strong Balanced Opening
Problem:Evaluate: 2 Aces, 2 Kings, 1 Queen, 1 Jack with 4 spades, 3 hearts, 3 diamonds, 3 clubs.
Solution:HCP = 2x4 + 2x3 + 1x2 + 1x1 = 8 + 6 + 2 + 1 = 17 Length points = 0 (no suit longer than 4) Total opening points = 17 Shape: 4-3-3-3 (balanced) Bid suggestion: 1NT (15-17 HCP balanced)
Result:HCP: 17 | Total: 17 | Balanced | Opening: 1NT
Example 2: Distributional Hand
Problem:Evaluate: 1 Ace, 1 King, 2 Queens, 0 Jacks with 6 spades, 4 hearts, 2 diamonds, 1 club.
Solution:HCP = 1x4 + 1x3 + 2x2 + 0 = 4 + 3 + 4 = 11 Length points = 2 (6 spades = +2) Short suit points = 2 (singleton) + 1 (doubleton) = 3 Total opening: 13 | Total support: 14 Bid: 1 Spade
Result:HCP: 11 | Opening: 13 | Support: 14 | Unbalanced | Opening: 1 Spade
Frequently Asked Questions
What are High Card Points in bridge and how are they counted?
High Card Points, commonly abbreviated as HCP, are the foundation of hand evaluation in contract bridge using the Milton Work point count system. Each ace is worth 4 points, each king is worth 3 points, each queen is worth 2 points, and each jack is worth 1 point. A standard deck contains 40 total HCP distributed across four suits. The average hand contains 10 HCP. An opening bid typically requires 12 to 13 HCP, game in a major suit requires about 26 combined HCP between the partnership, and slam requires 33 or more combined HCP. While HCP is the most widely used evaluation method, experienced players supplement it with distributional assessments.
What are distribution points and when should I count them?
Distribution points account for the trick-taking power of long and short suits beyond what HCP alone would indicate. Length points add 1 point for each card beyond four in any suit, recognizing that long suits generate extra tricks. Short suit points, also called dummy points, are counted when supporting partner as declarer with a trump fit: 3 points for a void, 2 for a singleton, and 1 for a doubleton. It is important not to count both length and short suit points simultaneously as they serve different evaluation purposes. Use length points when considering opening bids and use short suit points when evaluating your hand as the supporting partner.
What is the Losing Trick Count method?
The Losing Trick Count, or LTC, is an alternative hand evaluation method that focuses on potential losers rather than point count. In each suit, you count up to three potential losers by examining the top three cards. An ace removes one loser, a king in a suit of two or more removes one loser, and a queen in a suit of three or more removes one loser. A void has zero losers, a singleton has at most one loser, and a doubleton has at most two losers. To estimate the combined trick-taking potential, add your LTC to partner estimated LTC and subtract from 24. For example, if both hands have 7 losers: 24 minus 14 equals 10 tricks, suggesting a game contract is feasible.
When should I open the bidding in bridge?
The general guideline for opening the bidding is to have at least 12 to 13 total points, counting HCP plus length points. Some modern systems allow opening with 11 points if the hand has good shape such as a six-card suit or two five-card suits. The Rule of 20 is a popular guideline that says you can open if the sum of your HCP plus the lengths of your two longest suits equals 20 or more. For example, a hand with 10 HCP and a five-card and a five-card suit totals 20 and qualifies for opening. Hands with fewer than opening values but a long suit of six or more cards may qualify for a preemptive weak two or weak three bid to disrupt opponents.
What does a balanced hand mean and why does it matter?
A balanced hand in bridge is one with no void, no singleton, and at most one doubleton. The three balanced distributions are 4-3-3-3, 4-4-3-2, and 5-3-3-2. Balanced hands are important because they qualify for notrump bids and contracts. With 15 to 17 HCP and a balanced hand, the standard opening bid is 1NT, which precisely describes your strength and shape to partner. With 20 to 21 HCP balanced, open 2NT. Balanced hands play well in notrump contracts because they have stoppers in multiple suits and no extreme weakness in any suit. Unbalanced hands with singletons, voids, or very long suits are better suited for trump contracts where the short suits can generate extra tricks through ruffing.
How do poker hand probabilities work?
In a standard 52-card deck, there are 2,598,960 possible 5-card hands. Royal flush: 4 (0.000154%); straight flush: 36 (0.00139%); four of a kind: 624 (0.024%); full house: 3,744 (0.144%); flush: 5,108 (0.197%); straight: 10,200 (0.392%); three of a kind: 54,912 (2.11%); two pair: 123,552 (4.75%); one pair: 1,098,240 (42.3%); high card: 1,302,540 (50.1%).
References
Reviewed for accuracy by Daniel Agrici, Founder & Lead Developer · Editorial policy
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