6 deck blackjack basic strategy surrender

Repeat step 3 but multiply by 3 instead of 2.

Determine the probability that the player will resplit to 3 hands.

Multiply this dot product by the probability from step 2.

Take the dot product of the probability and expected value over each rank. For each rank determine the probability of that rank, given that the probability of another 8 is zero.

Go through all ranks, except 8, subtract that card from the deck, play out a hand with that card and an 8, determine the expected value, and multiply by 2.Determine the probability that the player will not get a third eight on either hand.Peter Griffin also addresses this topic in chapter 11 of the The Theory of Blackjack Let’s say I want to determine the expected value of splitting eights against a dealer 2. Cindy of Gambling Tools was very helpful. It took me years to get the splitting pairs correct myself. It would take about 5 years playing blackjack 40 hours a week before this piece of advice saved the player one unit. Following this rule will result in an extra unit once every 1117910 hands. So standing is the marginally better play. The two right numbers in the bottom row show that the overall expected value for hitting is -0.540355 and for standing is -0.540293. You are much better off at any ordinary 3-2 game, which are easy to find elsewhere.

Update: After this question, the Las Vegas Club changed their rules to pay 6 to 5 on a blackjack in their so-called 'World's Most Liberal Blackjack Rules.' The 6 to 5 does not even make it a legitimate blackjack game. Don't feel badly about falling for their marquee, I fell for it myself in my younger days before I knew the effects of rule variations. It is the six decks at the Las Vegas Club which work against the player. Based on a two-deck game, where you can not double after splitting, the expected value of splitting 8,s against a 10 is -0.480673, better than the -0.5 by surrendering.Ĭontrary to their claim of having the 'World's Most Liberal Blackjack Rules' there are better single-deck games right across the street at the Horseshoe or the Golden Gate. Even if you can't double after a split you should still decline to surrender. Yes, you still want to split eights, even if late surrender is offered.

6 deck blackjack basic strategy surrender