Probability of winning one BJ Hand

If money were omitted, and the dealer and player we simply recording "Wins and Losses" (so no use of doubling, etc. etc.)

What are the Probabilitys of Tieing, winning, and losing, any single hand of blackjack.

I computed the following by simulation:





My full article is here:

https://www.888casino.com/blog/blackjack-tips/blackjack-combinatorial-analysis-by-simulation/

Hi Eliot - interesting outcome. Could I comment that initially I didn't understand what the column "EV" meant (it ranged from 8 to -8, presumably because there's a limit of three splits or four hands) but I had read it as the Expected Value (in %) based on the count at the time! When I read the 3CP one, the penny dropped. Cheers.

Quote: charliepatrick

Hi Eliot - interesting outcome. Could I comment that initially I didn't understand what the column "EV" meant (it ranged from 8 to -8, presumably because there's a limit of three splits or four hands) but I had read it as the Expected Value (in %) based on the count at the time! When I read the 3CP one, the penny dropped. Cheers.

Yes, the payouts in BJ are from -8 to 8, and the sheet gives the frequency of occurrence of each pay.