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Woolworth Online Blackjack Games
 

A Woolworth Online Blackjack Games deck consists of only fives and tens; in particular let a single deck contain 20 fives and 32 tens. The player's optimal strategy for the full deck (basic strategy) is to double down with hard ten (two fives) against a five and stand with fifteen regardless of the dealer's card. The expectation relative to this strategy is -.63%.

There are only two denominations and thus only two effects of removal i are interested in, and they are easily calculated. Basic strategy applied to a 51 card deck with 19 fives yields an expectation of -.O1%, while a 51 card deck with 31 tens has an expectation of -1.02%. Hence the effects of removal are +.62% and -.39% for fives and tens respectively.

The attractions of this simple game as an analogue for ordinary Online Blackjack Games are immediately evident: (a) there are at most 21 distinguishably different n card subsets of a single deck and these can be completely probabilized in a trice; (b) best linear estimation is immediately inferred from either the density of fives or tens left in the deck; and (c) the variance of the distribution of best linear estimates is comparable in magnitude to that of ordinary Online Blackjack Games, as is reflected by the similar removal effects.
There are two important quantities to record in an exhaustive analysis of all possible subsets of a Woolworth Online Blackjack Games deck.

The first is, of course, the correlation betien the best linear estimates of expectation and the actual expectations themselves. This provides a commonly understood measurement of linear behavior and also indicates the ratio of the standard deviations of the distributions of the estimates and the actual expectations.[ A]

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It's also a key element to winning poker: finding situations where your pot odds and/or implied odds are right. A ~ loose-passive player who holds a great hand but who doesn't raise because "he wants to keep everyone in" will often find that in accomplishing his mission, he has kept someone in who winds up beating him. Sometimes it's right to slow play a big hand, but the loose-passive player does it far too often.

They can also have winning sessions because if they get hit with the deck, not only will they be in there to catch the lucky draw-out, but their apparently weak (no raising) style may encourage other players to bet or raise, figuring they can either bluff the loose-passive player out (this line of thinking proves they haven't been paying attention: You don't try to bluff a loose player) or that he must be in with something weak.

When you break loose-passive down to its essential elements, it amounts to playing far too many weak hands (loose play) without ever winning a hand by pushing someone out (passive play).
 
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