Teacher's Bet.

Blackjack Strategy: Basic Strategy & Card Counting

Blackjack is the one game on the casino floor a disciplined player can actually beat. Not with a system, a hunch, or a hot streak — with arithmetic. Perfect basic strategy shaves the house edge to a rounding error, and card counting can tip it your way. That’s the good news. The bad news is everything it takes to collect, and why “easy money” is the fastest way to spot someone who’s about to lose.

Part of Extra Credit: the house edge, game by game. Blackjack is the exception. Here’s the exception in full.

How to read this game

Every casino bet has a price, and the price is the house edge — the casino’s average take per dollar you wager, straight out of expected value. Multiply each outcome by its probability, add them up, and you get the average result of one hand:

For most games that number is fixed and negative forever. Blackjack is different for two reasons: how you play the hand changes the edge, and which cards remain changes it too. Master both and, for brief stretches, the sign flips.

Basic strategy: getting to the floor

Before you count a single card, you have to stop giving the house free money. Basic strategy is the complete, solved answer to every blackjack decision: the exact hit, stand, double, or split for your hand against the dealer’s upcard. It was computed decades ago and it does not change. Memorize the chart and you are playing the game as well as it can be played.

Worked example: what perfect play buys you

A 3:2 natural pays you $3 for every $2 staked; the sucker tables that pay 6:5 quietly triple the house edge. Dealer standing on soft 17 helps you too. Get the rules wrong and no amount of skill saves you — the game is only beatable from the 0.5% floor, not from a 6:5 table.

Half a percent is the best starting price in the building — better than the craps pass line, far better than roulette or slots. But it is still negative. Basic strategy alone makes you a very cheap customer, not a winner. To flip the sign, you need the game’s one true weakness.

The twist: blackjack has memory

Roulette forgets. Every spin is independent, the 5.26% edge never moves, and no amount of watching helps. Blackjack is dealt from a shrinking shoe that is not reshuffled after every hand — so the cards already played tell you something about the cards still to come. That memory is the whole opening.

When a lot of low cards are gone and the shoe is rich in tens and aces, the player is favored, for concrete reasons: more naturals get dealt, the dealer busts more often drawing to stiff hands, and your double-downs land more tens. Card counting is nothing more than keeping a running tally of that shift — not memorizing cards, just tracking a balance.

Card counting: the Hi-Lo system

The most common count is Hi-Lo. Give every card one of three values and keep a running total as they come out of the shoe:

Worked example: the Hi-Lo tags

Low cards leaving the shoe are good for you, so you count them up. High cards leaving are bad for you, so you count them down. A positive running count means the tens and aces are still to come.

But a running count of means very different things with six decks left versus one deck left. To turn it into an edge you divide by the decks still in the shoe — the true count:

Worked example: running count to true count

Same running count, wildly different situations. Concentration is what matters: ten extra high cards packed into two remaining decks is a far richer shoe than the same ten spread across five. The true count is the number that actually maps to an edge.

What the count is actually worth

Here is the payoff. Each point of true count is worth roughly half a percent of edge, added onto the basic-strategy starting point:

Run the line and the whole strategy falls out of it:

Worked example: the edge at three counts

The sign flips near a true count of , and by the player is up about . Notice how small that peak is. A great count gives you an edge thinner than the vig on a single sports bet — and it only appears for the minority of hands when the shoe runs rich.

The strategy: it’s all in the bet spread

Now the part everyone gets wrong. The count does not tell you how to play the hand — basic strategy already handles that (with a few minor deviations at extreme counts). What the count changes is how much you bet. Every dollar of a card counter’s profit comes from one move: bet the table minimum when the count is low or negative, bet big when it’s high. That is the entire edge. Flat-bet a perfect count and you win exactly nothing.

Which turns sizing into the real skill — and sizing a thin, noisy edge against big variance is precisely a Kelly criterion problem. Treat a high-count hand as roughly even money and Kelly says stake about your edge as a fraction of bankroll:

Worked example: sizing a high count with Kelly

On a $20,000 bankroll, quarter-Kelly is a bet around $75 at the best counts and the table minimum the rest of the time. Overbet that 1.5% edge — the temptation when a big count finally hits — and one ordinary cold streak wipes you out. Overbetting a ~1% edge is exactly how counters go broke. See the Kelly article for why full Kelly on a noisy edge is a loaded gun.

Read this part: the catch

Card counting is real, legal, and mathematically positive. It is also, for almost everyone, a bad idea. The math is the easy half. Everything wrapped around it is the catch:

None of this makes blackjack unbeatable. It makes it hard, in a way the arithmetic can’t rescue you from. The edge is real; collecting it is a job with a hostile employer.

The scoreboard (house edge, typical)

One line is positive, and it belongs to a skilled, disciplined, well-funded player whom the casino is trying to remove — and only when the count runs high. Move to a 6:5 table and even that hope is gone before you start. That is the whole lesson.

The short version

Basic strategy gets you to a ~0.5% house edge — the best price on the floor, but still a price. Card counting tracks the shoe with Hi-Lo, converts a running count to a true count, and turns a rich deck into a real player edge of up to ~1.5%. The edge lives entirely in the bet spread, and sizing that spread is a Kelly problem you can’t afford to get wrong. The catch is everything else: tiny edge, brutal variance, a big bankroll, perfect discipline, and a casino that will show you the door. Beatable? Yes. Easy? Never.

The same expected-value and Kelly math runs the sports side of the house. Try it on the free Kelly calculator, or read how expected value finds an edge.

Watch the edge compound (the idealized case)

Six flawless counters, flat-betting a +1% edge 1,000 hands each. The line climbs — but slowly, and only because every player here counts perfectly and never gets barred. That’s the fantasy. The reality is the danger section above.

Check your understanding

Three quick questions on this lesson. Pick an answer to see if it's right, and why.

Frequently asked questions

What is the best blackjack strategy?

Perfect basic strategy — the mathematically correct hit, stand, double, and split for every hand against every dealer upcard. It cuts the house edge to about 0.5% (roughly 0.4% to 0.6% depending on the rules), the lowest of any bet on the floor. Blackjack paying 3:2 and the dealer standing on soft 17 are the friendliest rules.

Is card counting illegal?

No. Counting cards in your head is just mental arithmetic and is not illegal. But casinos are private property and can shuffle early, cut the deck deep, lower your limits, or bar you. Using a counting device or app, however, is a crime in most jurisdictions.

How does the Hi-Lo card counting system work?

In Hi-Lo you add +1 for each 2 through 6 dealt, 0 for each 7 through 9, and −1 for each 10, face card, or ace. Divide that running count by the decks remaining to get the true count. A high true count means the shoe is rich in tens and aces, which favors the player.

Can you actually win at blackjack by counting cards?

The math allows a positive edge of roughly 0.5% to 1.5% with perfect basic strategy, an accurate count, and a large bet spread. But the edge is tiny, the variance is enormous, it demands a big bankroll and flawless discipline, and casinos will limit or eject you. For almost everyone it is a grind, not easy money.