Calculating Casino Games Expected Value

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The expected value is actually slightly better than this; we rounded a bit there, and the house edge for the casino in American roulette is actually closer to 5.26%. Once again, this is exactly equivalent to 2/38 — the number of zeros divided by the total number of pockets on the wheel.

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Introduction

The following menu is for tables that list the expected value for every initial hand in blackjack. The values in the table are 'composition dependent', meaning at every point the best decision was made according to the exact cards held in the players hand, as opposed to just the total points.

Dealer Peeks at Hole Card

All numbers in the following tables assume the dealer already peeked for blackjack, with a ten or ace up, and did not have it.

No Hole Card — Player Loses Everything if Dealer Gets a Blackjack

All numbers in the following tables assume no dealer hole card. If the dealer gets a blackjack, the player will lose everything bet, including on doubles and spltis.

Other sources for similar expected values:

  • Blackjack Attack by Don Schlesinger
  • Professional Blackjack by Stanford Wong.
ExpectedCasino

Calculating Expected Value In Excel

Written by: Michael Shackleford