Five’s in Chemin de Fer
by Silas on Saturday, October 30th, 2010
Card Counting in black-jack is a method to increase your chances of winning. If you are great at it, you are able to actually take the odds and put them in your favor. This works because card counters increase their wagers when a deck rich in cards that are beneficial to the gambler comes around. As a general rule of thumb, a deck wealthy in ten’s is much better for the player, because the croupier will bust a lot more frequently, and the player will hit a blackjack a lot more often.
Most card counters maintain track of the ratio of good cards, or ten’s, by counting them as a one or a minus one, and then provides the opposite 1 or – 1 to the lower cards in the deck. A few systems use a balanced count where the variety of low cards will be the same as the variety of 10’s.
But the most interesting card to me, mathematically, will be the 5. There were card counting techniques back in the day that included doing absolutely nothing a lot more than counting the number of fives that had left the deck, and when the five’s were gone, the player had a massive benefit and would increase his bets.
A great basic strategy player is obtaining a nintey nine and a half percent payback percentage from the betting house. Each 5 that’s come out of the deck adds 0.67 per cent to the gambler’s expected return. (In an individual deck casino game, anyway.) That means that, all things being equivalent, having one five gone from the deck offers a gambler a tiny advantage over the house.
Having 2 or three 5’s gone from the deck will basically give the player a quite substantial advantage over the casino, and this is when a card counter will normally increase his wager. The dilemma with counting five’s and absolutely nothing else is that a deck reduced in 5’s occurs pretty rarely, so gaining a major advantage and making a profit from that situation only comes on rare situations.
Any card between two and 8 that comes out of the deck raises the gambler’s expectation. And all 9’s. ten’s, and aces improve the betting house’s expectation. Except 8’s and nine’s have incredibly little effects on the outcome. (An 8 only adds 0.01 per-cent to the player’s expectation, so it’s usually not even counted. A 9 only has 0.15 per-cent affect in the other direction, so it’s not counted either.)
Comprehending the effects the low and high cards have on your anticipated return on a wager could be the initial step in learning to count cards and wager on twenty-one as a winner.
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