The casino profits from misconceptions. Every myth below has been disproven by math. The format: The Myth → The Math → The Verdict.
"The last player to act (third base) can 'save' or 'kill' the table by making bad decisions."
One player's decisions have zero impact on your long-term EV. The cards are random. What matters is the probability distribution of the remaining deck, not the order in which cards are drawn.
EV(your hand) ≠ f(other_player_actions)"Insurance is a 'safety bet' that protects against the dealer's blackjack."
Insurance pays 2:1 but the true odds of the dealer having blackjack are ~9:4. This creates a house edge of 7.4% on the insurance bet alone. It's a separate sucker bet, not protection.
EV(insurance) = (16/49 × 2) - (33/49 × 1) = -0.0204 (-7.4%)"I'm on a hot streak—time to increase bets!" or "The table is cold—walk away."
Each hand is an independent event (assuming reshuffling). Past outcomes have no predictive power. The Gambler's Fallacy is a cognitive bias, not a strategy.
P(win|previous_losses) = P(win) = 0.423 (independent events)The belief that circulates at tables and in forums. Often sounds logical. Never is.
The probability distribution that disproves it. With code-block notation where relevant.
BUSTED. Always. The math doesn't negotiate.
A complex hand scenario posted weekly. What's the EV difference between the two best options?
Pair of 8s. Dealer shows 10. H17 table. Split or Surrender?EV(Split) vs EV(Surrender) = ?
Answer submissions coming soon.
Weekly deep dives into one specific fallacy. The Myth. The Math. The Verdict.