Interactive Quantitative Lab
Casino EV & Strategy Simulators
Test theoretical house hold, compute host comps expectations, and inspect exact optimal decision matrices without emotional interference.
Interactive Stochastic Engine
Expected Value & Theo Simulator
Calculate your true theoretical expected loss, casino comps potential, and 1-sigma variance envelope.
Average Bet per Hand$50
$5$250$500$1,000
Session Duration3 Hours
1h4h7h10h
Hands / Spins per Hour70
Jayme's Pro-Play Advice:
Stick rigidly to basic strategy chart. Never take insurance or play 6:5 payout tables.
Total Action Wagered$10,500Over 210 total rounds
Casino House Edge0.5%Return to Player: 99.50%
Expected Value (Theo)
-$52.50Theoretical house retentionTarget Host Comps
~$15.75~30% RFB comp rebate valueExpected 1-Sigma Variance Envelope:68% Confidence Interval
Downside: -$886Upside: +$781
Standard deviation in casino games is substantial in the short run. Even with a negative EV of -$52.50, good variance can swing your session positive into the green—if you know when to lock in profits.
Deterministic Math
Blackjack Basic Strategy Quick Reference
Standard 6-Deck Shoe, Dealer Hits Soft 17 (H17), Double After Split (DAS) permitted.
Stand (S)Hit (H)Double (D)Split (P)
5 to 8Always Hit regardless of dealer upcard
hit
9Double vs Dealer 3-6; otherwise Hit
double
10Double vs Dealer 2-9; otherwise Hit
double
11Always Double vs Dealer 2-10; Hit vs Ace
double
12Stand vs Dealer 4-6; otherwise Hit
stand
13 to 16Stand vs Dealer 2-6; otherwise Hit
stand
17+Always Stand (Never hit hard 17 or higher)
stand
Soft 13-14 (A,2-A,3)Double vs Dealer 5-6; otherwise Hit
double
Soft 17 (A,6)Double vs Dealer 3-6; otherwise Hit
double
Soft 18 (A,7)Double vs 3-6, Stand vs 2,7,8; Hit vs 9,10,A
stand
Soft 19+ (A,8+)Always Stand
stand
Pair of Aces (A,A)Always Split (0.50% edge preservation)
split
Pair of 8s (8,8)Always Split (Turn 16 into two 8s)
split
Pair of 10s (T,T)Never Split! Stand on 20
stand
Pair of 5s (5,5)Never Split! Treat as hard 10 (Double)
double