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GAME GUIDES

Learn blackjack: decisions with explicit assumptions

Understand basic strategy, consider the dealer upcard and solve original exercises on soft totals, payouts and insurance.

Blackjack strategy compares legal actions under specified rules. A single hand’s result does not prove a decision right or wrong. These examples train hand understanding and arithmetic; they are not a universal complete basic-strategy chart.

In this guide

What basic strategy describes

Basic strategy compares long-run expectations using your hand, the dealer upcard and the specific rules. A matching chart must account for factors such as decks, S17/H17 and surrender. A better expectation is not a promise of winning the next card or session.

Further reading: Michael Shackleford: Blackjack basic-strategy assumptions

Study exercise: soft 17 does not immediately bust

Hold A♣ 6♥ and draw K♦. The total is now 17 because the ace counts one. With 10♣ 7♥ and the same king, the result is 27 and bust. Both starting hands display 17 but do not support the same claims about another card’s risk.

First ask whether the hand is soft or hard, then its total. Whether hitting beats doubling or standing on a soft hand additionally requires the dealer upcard and table rules. The absence of immediate bust risk alone is not a complete strategy.

Insurance as a separate calculation

Original simplified calculation: one unit of insurance wins two net on dealer blackjack and loses one otherwise. With probability p, expectation is 2p − (1−p) = 3p−1. Break-even is p = 1/3. A reassuring name does not change that payout.

Here p is the probability of a ten-valued hole card behind the exposed ace given the known card state. It is not automatically one third and cannot be read from a winning streak. Any claim about a specific round needs its remaining-card assumptions.

Exercise: two hands after splitting

You wager ten, split a pair for another ten, then win one hand and lose the other. Both are ordinary 1:1 hands. What are total stake, total returned and net result? Calculate the hands separately without forgetting the second wager.

Answer and explanation

Total stake is 20. The winning hand returns 20 and the losing hand zero. Total return is 20 and net result zero. Two completed hands do not automatically double the return on the original wager.

Study one change at a time

Set up a fixed free session and record difficult decisions with cards and rules. Check legality first, then evaluation. Separate soft-hand arithmetic errors from strategy questions. Do not increase wagers to recover losses; adding chips provides no information about the next card.

Try what you have learned

Play Blackjack