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Craps Buy Bet Calculator

Calculate house edge, commission costs, and optimal strategies for Buy bets in craps. Compare Buy vs Place bets to find the best value.

By Joseph Orduna·Reviewed January 20, 2026·How this works
Formula:House Edge = Commission% × P(win)

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 →

House Edge

1.59%

True Payout

2:1

$40.00 win

Commission

$2.00

On win

vs Place Bet

Buy Better

5.08% difference

Buy 4 and 10 for best value

$

Larger bets reduce vig impact

Ask your casino's rules

Buy vs Place Comparison

NumberTrue OddsBuy Edge*Place EdgeBetter Bet
42:11.59%6.67%BUY
51.5:11.90%4%BUY
61.2:12.16%1.52%PLACE
81.2:12.16%1.52%PLACE
91.5:11.90%4%BUY
102:11.59%6.67%BUY

*Buy edge assumes 5% commission on wins only

Optimal Strategy

  • • Buy 4 and 10 when commission is on wins only
  • • Place 5, 6, 8, 9 - Place bets have lower edge
  • • Ask if casino offers reduced vig ($1 per $25)
  • • Avoid upfront commission - it nearly doubles the effective edge

Key Facts

  • •Buy bets pay true odds minus a 5% commission
  • •Buy 4 and 10 (4.76%) is better than Place 4 and 10 (6.67%)
  • •For 6 and 8, Place bets (1.52%) beat Buy bets
  • •Commission on wins only reduces effective house edge
  • •Some casinos offer reduced vig - always ask!

Frequently Asked Questions

What is a Buy bet in craps?

A Buy bet is like a Place bet but pays true odds (2:1 on 4/10, 3:2 on 5/9, 6:5 on 6/8) instead of reduced odds. In exchange, you pay a 5% commission (vigorish). This makes it better than Place bets for 4 and 10.

When should I Buy instead of Place?

Buy 4 and 10 when commission is charged on wins only (4.76% vs 6.67% Place edge). For 5, 6, 8, and 9, Place bets are usually better. If commission is charged upfront, Place bets may be better for all numbers.

What is the house edge on Buy bets?

With 5% commission on wins only: 4.76% for all numbers. With upfront commission: 4.76% flat. With reduced commission ($1 per $25), the edge can be as low as 1.67% on larger bets.

How is the 5% commission calculated?

Standard is 5% of the bet amount. Some casinos round down ($1 min), charge on wins only, or offer $1 per $25 wagered. Always ask about commission rules - they significantly affect the house edge.

Try These Examples

Quick-start with common scenarios

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).

Full bioLinkedIn

House Edge

1.59%

True Payout

2:1

$40.00 win

Commission

$2.00

On win

vs Place Bet

Buy Better

5.08% difference