DashboardExact casino math

Blackjack

A rule-parameterized EV engine with recursive action search, cached dealer probabilities, and split-aware memoization.

Hi-Lo uses the running count and estimated decks remaining. Exact counting would need the real exposed/discarded cards.

Analyzer

Solve a blackjack hand

Pick the hand values, set the shoe estimate, and compare the EV of every legal action.

Quick hand table

A + 7 vs 6

Hard

Soft

Pairs

Dealer

Decks remainingHi-Lo running countDealer hits soft 17Late surrenderDouble after splitOne card on split aces

True count estimate: 0.0 (0 running count / 6 decks remaining). The solver converts that count into representative removed low or high cards, so actual discard composition is still better when known.

Rules

Count-aware blackjack

This page favors fast hand entry and a practical Hi-Lo estimate over manually listing exposed cards.

Player and dealer card entry is value-based, so suits are abstracted away for blackjack decisions.
Finite shoes can be approximated from a Hi-Lo running count instead of enumerating exposed cards.
A shoe value of 0 switches to an infinite or unknown composition model.