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Reply To: This is how online casinos make money

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#721880
327007
Member
nick777 wrote:
The expected return for standing on 20 clearly says your expected return is 0.675 EVERYWHERE, the wizards site and every other site in the world, the reason is that those odds are set, they are simple to figure out

Yet nolan insisted they were 0.70, from page 1 to page whatever

How many times do we need to go over this? Do you understand that the numbers change slightly according to rule differences, including # of decks and hit/stand on soft 17? For multideck, it is ~0.70 if dealer stands on soft 17 with and ~0.68 if dealer hits soft 17. I’ve listed 4 sources that all say ~0.70 (for stand on soft 17) including an article you quoted (not my link, your link — http://www.casino.com/blackjack/article.asp?id=1720 ). Wizard’s data for infinite decks as well as Wizard’s data for 2 or more decks with stand on soft 17 says ~0.70 (see http://wizardofodds.com/blackjack/appendix1.html ) . My hand calcs with stand on soft 17 on page 3 came to ~0.70 . I could also find 4 links that say ~0.68 . But these ~0.68s specify hit soft 17, rather than stand.

nick777 wrote:
The correct equation is on page 12 and this issue can no longer debated, unless of course someone is a complete idiot, then they can debate it all they want.

But i am not debating this anymore, throughout the course of this entire thread i am the only one who actually put up any correct numbers
You mean your “equation” where you decided to multiply by listed results by 4x more when splitting than standing? As I wrote a few hours ago…

You can’t just go around multiplying listed values by whatever numbers you want to get the results you want. Yes, you did finally find a table that does not appear to be based on initial bet size. Given the 0.175 value, it seems to be based on expected gain per split hand. But why in the world would you multiply by 2 twice for a total of 4x. Do you think there are 4x more hands in a split than a stand?!

You’d multiply by the average number of hands… there are 2 hands for the split and 2*4/13 for the resplit in both hands (recall 4/13 odds of drawing a 10 to make a resplit in each of the two split hands)

2 + 2* 4/13 = 2.62 hands on average

2.62 * 0.175 = ~0.46

Does ~0.46 sound familiar? It should because it is the value I have been listing for the past 10 pages, when including resplits!