Stephen Adams: ?? Expected Value

[Stephen Adams]

1. On Page 330 of Stanford Wong's book called, Professional Blackjack, using benchmark rules, if you have a face and a 6 against the dealer's 7, you will lose 40.8% of your wager. How much more would your expected loss be if your hand was made up of 4 cards? [e.g. 5-3-4-4]

2. If you are using 6 decks of cards, what percentage of players hands can be expected to include 4 or more cards?

[MGP]

Hi,

Are you asking because of a particular bonus or just curiosity or because of potential strategy changes?

> 1. On Page 330 of Stanford Wong's book called,
> Professional Blackjack, using benchmark rules, if you
> have a face and a 6 against the dealer's 7, you will
> lose 40.8% of your wager. How much more would your
> expected loss be if your hand was made up of 4 cards?
> [e.g. 5-3-4-4]

> 2. If you are using 6 decks of cards, what percentage
> of players hands can be expected to include 4 or more
> cards?

[Stephen Adams]

> Hi,

> Are you asking because of a particular bonus or just
> curiosity or because of potential strategy changes?

Hello MGP

I have created a variation of the game of blackjack which could only be played at online Internet Casinos. The questions that I asked are ones whose answer would affect certain aspects of such a game.

[MGP]

> 1. On Page 330 of Stanford Wong's book called,
> Professional Blackjack, using benchmark rules, if you
> have a face and a 6 against the dealer's 7, you will
> lose 40.8% of your wager. How much more would your
> expected loss be if your hand was made up of 4 cards?
> [e.g. 5-3-4-4]

> 2. If you are using 6 decks of cards, what percentage
> of players hands can be expected to include 4 or more
> cards?

My CA can't answer those directly but if you had a specific bonus in mind I might be able to answer it.

Good luck,
MGP

[Don Schlesinger]

> 1. On Page 330 of Stanford Wong's book called,
> Professional Blackjack, using benchmark rules, if you
> have a face and a 6 against the dealer's 7, you will
> lose 40.8% of your wager.

For 6-deck, 40.86%, from BJA3, p. 449.

> How much more would your
> expected loss be if your hand was made up of 4 cards?
> [e.g. 5-3-4-4]

For that exact holding, -42.53%. Go here:

http://www.gamblingtools.net/bj/ppbj.html

Don