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Exacta Calculator

Calculate exacta bet costs and combinations for box, key, and wheel bets

By Joseph Orduna·Reviewed January 21, 2026·How this works
Formula:Box Cost = n × (n-1) × Stake

For mathematical education only. This tool computes probabilities and expected values; it is not a betting system and cannot predict individual outcomes.

If gambling is causing problems for you or someone you know, call the National Problem Gambling Helpline: 1-800-GAMBLER (1-800-522-4700), or visit ncpgambling.org.

How these calculators are built →

Exacta Bet Setup

Configure your exacta wager

$

Select Horses

Add horses to your exacta

#1
#3
#5

Exacta Cost

6 combinations

Total Cost
$12
6 × $2

Bet Type

Box

Horses

3

Combinations

6

Per Combo

$2

Combinations

1-3
1-5
3-1
3-5
5-1
5-3

Exacta Examples

Quick-start with common scenarios

Exacta Bet Tracker

0 / 100 entries

Bet History

0 entries

No bets recorded yet.

Add your first bet to start tracking.

Quick Answer

TL;DR summary

An exacta bet requires picking the first two finishers in exact order. A straight exacta is one combination at base cost. A $2 exacta box with 3 horses costs $12 (3×2=6 combinations × $2). A $2 exacta box with 4 horses costs $24 (4×3=12 combinations). Key bets reduce cost by designating one horse to finish first or second with others filling the remaining position.

Key Facts: Exacta Bets

Important information

  • Exacta = Pick 1st and 2nd in exact order
  • Box = All order combinations of selected horses
  • Box cost formula: n × (n-1) × stake
  • Key = One horse in fixed position with others
  • Standard base stake is $2 in US
  • 3-horse box = 6 combinations
  • 4-horse box = 12 combinations
  • 5-horse box = 20 combinations

Frequently Asked Questions

Common exacta questions

What is an exacta bet?

An exacta (also called a perfecta) requires you to pick the first two finishers in a race in exact order. Horse A must win and Horse B must finish second. It pays more than win/place bets but is harder to hit.

How does an exacta box work?

A box covers all possible order combinations of your selected horses. A 3-horse box covers 6 combinations (3×2). A 4-horse box covers 12 combinations (4×3). The cost is combinations × base stake.

What is an exacta key bet?

A key bet designates one horse for a specific position. "Key #5 on top with #2,3,7" means #5 must win with any of the others second. This costs 3 combinations (one for each other horse) instead of a full box.

How is exacta box cost calculated?

For an exacta box: Cost = n × (n-1) × base stake, where n is the number of horses. 3 horses: 3×2 = 6 combos. 4 horses: 4×3 = 12 combos. 5 horses: 5×4 = 20 combos.

What is a part-wheel exacta?

A part-wheel (or partial wheel) lets you select different horses for first and second. "1,2,3 with 4,5,6" covers combinations where a horse from the first group wins and one from the second places. Duplicates are excluded.

How this works

Calculations follow the published mathematics of the game — combinatorics for cards, probability theory for dice, and expected-value accounting for wagers. Results are verified against independent references (primarily Wizard of Odds). No calculation here is an opinion or recommendation; it is arithmetic applied to the rules of the game.

What this tool can’t do

When to consult a professional

This tool computes probability and expected value. It is not a betting system and cannot predict the outcome of any individual wager. If gambling is causing problems for you or someone you know, call the National Problem Gambling Helpline at 1-800-GAMBLER.

Sources

  1. [1]
    Wizard of Odds — Michael Shackleford, ASA
    Industry·wizardofodds.com·Accessed Apr 21, 2026

    Actuary; widely cited casino-game probability reference. Used for house-edge and EV verification.

  2. [2]
    National Council on Problem Gambling
    Official source·ncpgambling.org·Accessed Apr 21, 2026

    Responsible-gambling guidance and 1-800-GAMBLER helpline.

For mathematical education only

This tool computes probabilities and expected values. It is not a betting system and cannot predict individual outcomes. If gambling is causing problems for you or someone you know, call the National Problem Gambling Helpline at 1-800-GAMBLER (1-800-522-4700).

National Council on Problem Gambling →

Joseph Orduna
Joseph OrdunaFounder & Software Engineer

Full-stack software engineer specializing in embedded systems, web architecture, and AI/ML. Founder of Practical Web Tools. Built the gesture-controlled drone IP acquired by KD Interactive (Aura Drone, sold on Amazon).

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