Calculations about card removal
I am preparing a talk about card counting for a general audience and want to use the following "extreme" examples to illustrate how one's EV changes with the constitution of the deck.
1. Imagine the first 24 cards out of a six deck shoe are aces, so the shoe is completely bereft. What is the player's EV?
2. Imagine you've played through a six deck shoe and NO aces have yet come out, so the last deck is 24/52 aces. What would the players EV be at the top of that last deck?
I have seen the tables that show the change in EV for removal of a single card. If anyone can help me calculate the effects of removing the aces altogether, or of playing through cards that are essentially half aces, I would really appreciate it.
Thanks a lot!
Paul
Quote: exaptlyHello,
I am preparing a talk about card counting for a general audience and want to use the following "extreme" examples to illustrate how one's EV changes with the constitution of the deck.
1. Imagine the first 24 cards out of a six deck shoe are aces, so the shoe is completely bereft. What is the player's EV?
2. Imagine you've played through a six deck shoe and NO aces have yet come out, so the last deck is 24/52 aces. What would the players EV be at the top of that last deck?
I have seen the tables that show the change in EV for removal of a single card. If anyone can help me calculate the effects of removing the aces altogether, or of playing through cards that are essentially half aces, I would really appreciate it.
Thanks a lot!
Paul
An infinite deck analysis produced these approximate answers. For a game where the dealer stands on soft 17, the player may split non-ace pairs to four hands, and late surrender is offered, a shoe with no aces would have a player's EV of about -3%. For the deck with 24 aces, the player's EV would be in the neighborhood of 13%.
Quote: ChesterDogAn infinite deck analysis produced these approximate answers. For a game where the dealer stands on soft 17, the player may split non-ace pairs to four hands, and late surrender is offered, a shoe with no aces would have a player's EV of about -3%. For the deck with 24 aces, the player's EV would be in the neighborhood of 13%.
Somebody once asked me what the player advantage would be if the deck were ALL aces, and I told him that the player would have a 100% advantage. I left him scratching his head trying to figure out why.
