Can you give me an example of how the odds of getting a ten to improve a hard 16 change with different deck numbers?

M

Mike_25

Guest
Example of hard 16 improvement odds changing by decks:

One deck: Individual card (e.g. ten) removal significantly impacts odds. If a ten's removed, odds of getting ten drop a lot (e.g. from 7.7% to 5.9%).
Six decks: Individual card removal has little impact. If a ten's removed, odds of getting ten drop slightly (from 7.7% to 7.4%).

The odds of getting a ten to improve hard 16 are more sensitive to card removal with one deck since each card makes up a higher percentage of the deck. So as cards are removed in play, the odds change more with one deck than six decks. The impact of individual cards lessens with more decks, so probabilities change less. The gist is: fewer decks means greater changes to odds as cards are removed.
 
Due to the fact that each card makes up a larger percentage of the deck when using one deck, the chances of receiving a ten to enhance hard 16 are more sensitive to card removal. Therefore, the chances fluctuate more with one deck than with six decks as cards are eliminated throughout play. With more decks, the influence of individual cards is reduced, resulting in less change in probability.
 
When dealer has 6 decks in shoe odds of getting ten on hard 16 is different than with fewer decks. With 6 decks there is higher chance card you draw will help 16.
 
Let's take a look at the odds of getting a ten when you have a hard 16 with one deck, two decks, four decks, and eight decks. With one deck, the odds are 30.8% that you will draw a ten. With two decks, the odds go down to 29.6%. With four decks, the odds go down further to 28.6% and so on
 
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