Card Values
| Card | Value | Notes |
|---|---|---|
| 2-10 | Face value | A 7 is worth 7 |
| Jack, Queen, King | 10 | All face cards equal 10 |
| Ace | 1 or 11 | Flexible; counted as 11 unless it would bust the hand |
Soft vs Hard hands: A "soft" hand contains an Ace counted as 11 (e.g., Ace-6 = soft 17). A "hard" hand has no Ace, or the Ace must count as 1 to avoid busting (e.g., 10-7 = hard 17, or 10-6-Ace = hard 17).
Game Flow
- Place bet: Before cards are dealt, each player places their wager.
- Deal: Each player receives 2 cards face-up. Dealer receives 1 face-up (upcard) and 1 face-down (hole card).
- Blackjack check: If dealer's upcard is Ace or 10-value, the hole card is checked for Blackjack (Ace + 10-value = 21). A natural Blackjack pays 3:2 (or 6:5 at some tables).
- Player decisions: Each player acts on their hand (Hit, Stand, Double, Split, or Surrender).
- Dealer plays: After all players finish, dealer reveals hole card and plays by fixed rules (typically hit until 17).
- Settlement: Hands closer to 21 win. Push (tie) returns the bet.
Player Options
| Action | Description | When to Use |
|---|---|---|
| Hit | Take another card | Hand total is low (11 or below always hit) |
| Stand | Keep current hand | Hand is strong enough (17+ in most cases) |
| Double Down | Double bet, receive exactly one more card | Strong position (totals of 9, 10, or 11) |
| Split | Separate matching cards into two hands | Always split Aces and 8s; never split 10s or 5s |
| Surrender | Forfeit half the bet and fold | Very weak hand vs strong dealer (16 vs 9, 10, A) |
| Insurance | Side bet (2:1) that dealer has Blackjack | Almost never recommended (house edge ~7.4%) |
Basic Strategy Chart
Basic strategy is the mathematically optimal play for every possible hand combination. Following it perfectly reduces the house edge to approximately 0.5% (varies by table rules). H = Hit, S = Stand, D = Double, P = Split, Rh = Surrender (if allowed, else Hit).
Hard Totals
| Your Hand | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | A |
|---|---|---|---|---|---|---|---|---|---|---|
| 17-20 | S | S | S | S | S | S | S | S | S | S |
| 16 | S | S | S | S | S | H | H | Rh | Rh | Rh |
| 15 | S | S | S | S | S | H | H | H | Rh | H |
| 13-14 | S | S | S | S | S | H | H | H | H | H |
| 12 | H | H | S | S | S | H | H | H | H | H |
| 11 | D | D | D | D | D | D | D | D | D | H |
| 10 | D | D | D | D | D | D | D | D | H | H |
| 9 | H | D | D | D | D | H | H | H | H | H |
| 5-8 | H | H | H | H | H | H | H | H | H | H |
Soft Totals
| Your Hand | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | A |
|---|---|---|---|---|---|---|---|---|---|---|
| Soft 20 (A-9) | S | S | S | S | S | S | S | S | S | S |
| Soft 19 (A-8) | S | S | S | S | S | S | S | S | S | S |
| Soft 18 (A-7) | S | D | D | D | D | S | S | H | H | H |
| Soft 17 (A-6) | H | D | D | D | D | H | H | H | H | H |
| Soft 15-16 (A-4/A-5) | H | H | D | D | D | H | H | H | H | H |
| Soft 13-14 (A-2/A-3) | H | H | H | D | D | H | H | H | H | H |
Pairs
| Your Hand | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | A |
|---|---|---|---|---|---|---|---|---|---|---|
| A-A | P | P | P | P | P | P | P | P | P | P |
| 10-10 | S | S | S | S | S | S | S | S | S | S |
| 9-9 | P | P | P | P | P | S | P | P | S | S |
| 8-8 | P | P | P | P | P | P | P | P | P | P |
| 7-7 | P | P | P | P | P | P | H | H | H | H |
| 6-6 | P | P | P | P | P | H | H | H | H | H |
| 5-5 | D | D | D | D | D | D | D | D | H | H |
| 4-4 | H | H | H | P | P | H | H | H | H | H |
| 3-3 | P | P | P | P | P | P | H | H | H | H |
| 2-2 | P | P | P | P | P | P | H | H | H | H |
Insurance & Side Bets
When the dealer shows an Ace, players are offered insurance: a side bet (up to half the original bet) that the dealer has Blackjack, paying 2:1. The math makes it a bad bet in almost all situations:
- With a fresh deck, the probability the dealer has a 10-value hole card is 4/13 (30.77%).
- The insurance payout is 2:1, which means you need a 33.33% chance to break even.
- The house edge on insurance is approximately 7.4% — one of the worst bets at the table.
The only exception is for skilled card counters who know the deck is rich in 10-value cards.
House Edge by Rules
| Rule Variation | Impact on House Edge |
|---|---|
| Blackjack pays 3:2 (standard) | Baseline |
| Blackjack pays 6:5 | +1.39% (avoid these tables) |
| Dealer stands on soft 17 | -0.20% (player-friendly) |
| Dealer hits on soft 17 | +0.20% |
| Double after split allowed | -0.14% (player-friendly) |
| Late surrender allowed | -0.07% (player-friendly) |
| 6-deck shoe vs single deck | +0.58% more for 6-deck |
| Continuous shuffle machine | +0.30% (no count advantage) |
Best case scenario: A single-deck game with 3:2 Blackjack, dealer stands on soft 17, doubling after split, and late surrender offers a house edge as low as 0.15% with perfect basic strategy.
Worst case scenario: An 8-deck, 6:5 payout, dealer hits soft 17 game can have a house edge exceeding 2%.
Card Counting Basics
Card counting is a mathematical technique, not cheating. It tracks the ratio of high cards (10, J, Q, K, A) to low cards (2-6) remaining in the shoe. When proportionally more high cards remain, the player has an advantage.
The Hi-Lo System
The most widely taught counting system assigns values to each card:
| Card | Count Value | Rationale |
|---|---|---|
| 2, 3, 4, 5, 6 | +1 | Low cards favor the dealer; their removal helps the player |
| 7, 8, 9 | 0 | Neutral cards; minimal impact |
| 10, J, Q, K, A | -1 | High cards favor the player; their removal hurts |
Running Count to True Count
The running count is the cumulative total. The true count adjusts for the number of decks remaining:
True Count = Running Count / Decks Remaining
Example: Running count is +8 with approximately 4 decks remaining. True count = +8/4 = +2. This positive true count suggests a player advantage.
How Counting Provides an Edge
- A true count of +1 shifts the edge approximately 0.5% toward the player.
- At a true count of +2 or higher, the player typically has a positive expected value.
- Counter adjust bet sizes: larger bets when the count is favorable, minimum bets when it's not.
- Realistic edge for skilled counters: 0.5% to 1.5% over the house long-term.
Common Mistakes
- Taking insurance: Unless you're counting, insurance is always a bad bet.
- Standing on soft 17: You can't bust with one more card. Always hit (or double when appropriate).
- Not splitting 8-8 against a dealer 10: It feels wrong to put more money in, but 16 is the worst hand in Blackjack. Two separate 8s have better expected value.
- Mimicking the dealer: Players who always hit to 17 give up the strategic advantages (doubling, splitting, standing on 12-16) that reduce the house edge.
- Playing 6:5 Blackjack tables: The reduced payout adds nearly 1.4% to the house edge. Always seek 3:2 tables.
Online Blackjack Tips
- Card counting does not work on RNG-based online Blackjack (virtual shuffle each hand).
- Live dealer Blackjack with real shoe may allow counting, but most use 8-deck shoes with shallow penetration.
- Verify the payout rules before playing — 3:2 vs 6:5 makes a huge difference.
- Use basic strategy charts until you have them memorized. There's no penalty for taking your time online.
Sources & References
Thorp, Edward O. (1966), "Beat the Dealer." Wong, Stanford (1994), "Professional Blackjack." Griffin, Peter A. (1999), "The Theory of Blackjack." Basic strategy tables derived from Monte Carlo simulations of 10 billion+ hands. House edge calculations from Wizard of Odds (wizardofodds.com). Hi-Lo card counting system developed by Harvey Dubner (1963).