Re: Blackjack Strategy
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Oddly enough, the continuous shuffle program used by most online sites results in blackjack ratios closer to a single deck than a multiple deck blackjack ratio.
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Blackjacks can be dealt in two ways: a ten then an ace, or vice versa.
Chance of a blackjack being dealt from a single deck is:
10+A: 16/52 * 4/51 = 0.02413
A+10: 4/52 * 16/51 = 0.02413 (the same, obviously)
Total: 0.04826 (or 1 in 20.72).
Chance of a blackjack being dealt from an 8-deck shoe is:
10+A: (16*8)/(52*8) * (4*8-1)/(52*8-1) = 16/52 * 31/415 = 0.02298
A+10: 0.02298
Total: 0.04597 (or 1 in 21.75)
Note 1: The above assumes that the cards are perfectly shuffled. This is an entirely reasonable assumption.
Note 2: The ONLY reason that the chance of a blackjack changes when the number of decks changes is because, after the first card has been dealt, its non-replacement alters the probabilities for the second card.
There is NOTHING about an on-line continuous shuffler program which affects any of the above. If that program uses 8-decks (which a large number of them do), then the chance of a BJ will be identical to that produced by an 8-deck physical shoe in a casino.
The poster's comment that I have quoted above is wrong, unless he can prove that such shuffling programs somehow put Aces in closer than random proximity to tens, and vice versa.
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