Odds on Blackjack

Blackjack Appendix 14
November 27, 2018 – 09:58 am
$20, royal flush at
Wizard of Odds ApprovedSometimes a casino will offer a coupon which can be redeemed for a free ace in blackjack. Other times the dealer will start to deal and you can see the first card, before she pauses because you forgot to put out a bet. The following tables shows the value of each initial player card, accross whether the dealer hits (H17) or stands (S17) on a soft 17. The table is based on an infinite number of decks. In Basic Blackjack in table 32 (page 124) author Stanford Wong also gives the value of each initial player card based on six decks. The most Wong and I disagree is 0.3%, probably due to the number of decks.

Free Card Value

Card S17 H17
ace 0.504019 0.501844
-0.132947 -0.133987
-0.153950 -0.154469
-0.176969 -0.177029
-0.196529 -0.196668
-0.209834 -0.209714
-0.180796 -0.182900
-0.084058 -0.090196
-0.009417 -0.013236
10 0.143489 0.140328
Source: wizardofodds.com
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