# Determining odds in Blackjack?

How do you determine the different odds in Blackjack? For example, what would be the difference in odds from using 1, 2, or 3 decks? Also, what would be the difference in odds if you shuffle the deck before each hand instead of after the cards are used up?

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Edward Oakley Thorp went into depth on this subject with his book ${\bf Beat \,\, the \,\, Dealer,}$ which demonstrated mathematically how the house advantage can be overcome in blackjack by card counting.