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blackjack

Calculating the Probability of a Natural Blackjack

Walk through the conditional probability of drawing an ace and a ten-value card as your first two cards, and see why the number of decks and the specific rules change the arithmetic.

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blackjack

Calculating Blackjack Hand Probabilities

Learn the step-by-step method for calculating the probability of drawing specific blackjack hands, and why the number of decks and the dealer's upcard change the odds on every decision.

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blackjack

How to Calculate Hands Per Hour in Blackjack

Learn the factors that determine blackjack hands per hour, how to estimate your own rate, and why the number matters more for total exposure than for changing the house edge.

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blackjack

Working Out Expected Value in Blackjack

Expected value measures the average result of a blackjack hand or session, not what will happen on any single deal. This article shows how to build the calculation from the game's rules and why the result always points the same way.

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blackjack

How Expected Value Works in Blackjack

Expected value measures the average result of a blackjack decision over many repetitions. Learn the arithmetic, why the edge is built into the payouts, and where your own numbers come from.

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blackjack

Blackjack Standard Deviation: The Maths of a Session

Standard deviation in blackjack measures how far a session's actual results can swing from the expected average. This guide shows the calculation step by step using hypothetical inputs, explains what the number means, and why it matters more than the house edge over a short session.

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blackjack

How to Calculate a Running Count in Blackjack

The running count is a running tally of the cards dealt from a shoe. This guide explains the arithmetic, what the number means, and why it changes your decisions without changing the house edge on each hand.

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blackjack

Reading a Blackjack Hit-or-Stand Calculator

A hit-or-stand calculator applies a fixed decision rule to your hand and the dealer's upcard. Learn what it is computing, why the rule changes with the table's rules, and how to use one without misunderstanding the result.

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