"Are My Results Fair?" Calculator

"ARE MY RESULTS FAIR?" CALCULATOR

Summary

This calculator lists the chance of a loss or win occurring. This result is expressed as a percentage, as 1 in ..., and as a number of standard deviations from the average return (SDs). 68% of results fall with 1 SD; 95% of results fall within 2 SDs; 99.7% of results fall with 3 SDs. The calc also returns a chance of bust percentage, which corresponds to reaching the specified loss at any point during the wagering. For a more detailed discussion, see the interpreting results page. For chance of a win/loss streak, see the streak calculator.

Game:
Blackjack Video Poker Roulette Craps
Other Games: A-R Other Games: S-Z

Super 7
Single Deck
Pirate

Standard, Super 7s, ...
European
Single Deck

Standard, Progressive
Single Deck
Single Deck with CD
Pontoon

Standard, Lucky 7
Single Deck
European

Standard
Single Deck
European

Standard
Pontoon

Standard, Pro, Mini

European, Progressive
Perfect Pairs
Vegas Strip

Standard / Vegas
European
VC Games

Single Player, BP, HL
Single Deck
Multi Player

Standard
Multi-hand

Standard

Standard, Multi-hand
Live, Early Payout

Standard
Spanish
Blackjack Switch

Single Zero
Double Zero
French (La Partage)

Pass: No Odds
Don't Pass: No Odds
Pass: 2x Odds
Don't Pass: 2x Bet
Don't Pass: 2x Return
Pass: 3x Odds
Don't Pass: 3x Bet
Don't Pass: 3x Return

3-Card Poker: A&P
3-Card Poker: PP
3-Card 2nd Chance
Baccarat
Caribbean Hold'em
Caribbean Stud Poker
Casino Hold'em

Chance of: Loss Win

Size of Loss:

Size of Win:

Wagering:

Bet Size:

Multiple Hands:

House Edge (%):

Standard Deviation:

Corr. Between Hands:

Final Bet : Initial Bet Ratio:

Expressed: per Hand per Wager

Average loss assumes no influence from bankroll limitations, so results remain the same for all bet sizes. See the return & variance calculator (select limited bankroll) and/or return & variance simulator for estimates with a limited bankroll. Chance of loss approximates return as a normal distribution with no influence from bankroll limitations. This is a good approximation for blackjack and other games without rare high payouts. However, the distribution of video poker return does not appear like a true normal curve until reaching enough hands to hit a royal flush. Chance of bust (risk of ruin) includes influence from bankroll limitations. It corresponds to the chance of busting with a bankroll of the "size of loss" input.