Hope someone can shed some light on this. My calculations are not dealing with resplitting at all for simplicity, so point 2 is not necessary, and the next player card can be an 8, no resplitting will happen anyway.īut in step 3, is it absolutely correct just to play out one out two hands with an 8, and then to multiply EV by 2 to account for another split hand with 8?ĭuring an actual game, first split hand is fully played out, and that affects card availability for the second hand and for the dealer.ĭoes the calculation in step 3 above imply an estimate? Take the dot product of the probability and expected value over each rank.Ĥ.Multiply this dot product by the probability from step 2. For each rank determine the probability of that rank, given that the probability of another 8 is zero. Here is how I did it.Ģ.Determine the probability that the player will not get a third eight on either hand.ģ.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. 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. Have a question about one WizardOfOdds Q&A below.

Hello, I'm trying to calculate EV of splitting only to 2 hands.

Peter griffin blackjack hit me