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October 9th, 2019 at 9:51:44 AM permalink
I have an assignment in my class that tries to calculate the player advantage if both dealer cards are exposed. Would anyone care to help me verify that the approach is correct?

Much appreciated!

Since I can't post links. If you are interested, please look up "ece326 u of t" on Google, and then in the web page, click "Assignments" followed by "Assignment 2" (Easy Blackjack Calculator). Thanks.
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October 9th, 2019 at 3:17:55 PM permalink
I would suggest going to wizardofodds.com and checking out double exposure blackjack for your answer. Hope this helps
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October 9th, 2019 at 3:22:00 PM permalink
Quote: avianrandy

I would suggest going to wizardofodds.com and checking out double exposure blackjack for your answer. Hope this helps

I assumed the OP meant the advantage when seeing both dealers cards and under normal blackjack rules.

Double exposure has a bunch of house friendly rules.
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October 9th, 2019 at 3:32:02 PM permalink
Here's the link - http://fs.csl.toronto.edu/~sunk/asst1.html

I'm guessing from the description that you're creating a simulator that can play a hand of blackjack (in this case"Double Exposure" where the dealer's two initial cards are face up) and print the result and running total. I would expect a university graduate to be able to do this provided there were some functions (such as shuffling a deck) were provided.

If you were estimating the House Edge via a simulation, in your case using a fixed strategy, then this would essentially do the above for about a billion hands and print the totals. You would also write a random number generator (c.f. Mersenne or others) and a correct way to shuffle the cards (see other threads how to do this).)

It would be ...

very complicated to (i) Evaluate the House Edge (or in this case Player Advantage) using a finite number of decks using combinational analysis taking into account all four hands. When doing this most times the assumption is (say) after splitting 8's you know one extra 8 has gone when handling the first hand and catering for re-splits.

complicated to (ii) Dynamically evaluate the correct strategy based on the cards that have gone for each hand.

For the 2nd assignment it is interesting for them to use infinite decks andf ask you to develop the correct strategy. This essentially means you don't worry how your total is made up as you assume the chances of any card remain at 1/13. Personally this is what I do when initialy evaluating a game of blackjack. You can actually use a speadsheet for this and check it against the program!

Best of luck with your project.
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October 9th, 2019 at 5:03:12 PM permalink
I knew this was on my site somewhere: Dealer Exposes Both Cards. With correct strategy, it says the player advantage is 10.1%, give or take depending on the rules.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
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