Five’s in Chemin de Fer
Card Counting in chemin de fer is a way to increase your odds of winning. If you’re very good at it, you can really take the odds and put them in your favor. This works because card counters raise their wagers when a deck rich in cards which are beneficial to the gambler comes around. As a general rule, a deck wealthy in 10’s is better for the gambler, because the dealer will bust extra usually, and the player will hit a blackjack a lot more often.
Most card counters maintain track of the ratio of superior cards, or 10’s, by counting them as a one or a minus one, and then provides the opposite 1 or – one to the reduced cards in the deck. A few systems use a balanced count where the variety of very low cards would be the same as the amount of 10’s.
Except the most interesting card to me, mathematically, is the 5. There were card counting techniques back in the day that included doing absolutely nothing a lot more than counting the quantity of fives that had left the deck, and when the 5’s had been gone, the player had a massive benefit and would elevate his bets.
A good basic system player is getting a nintey nine and a half percent payback percentage from the gambling den. Every 5 that has come out of the deck adds 0.67 percent to the gambler’s expected return. (In a single deck game, anyway.) That means that, all things being equivalent, having one 5 gone from the deck offers a gambler a little advantage over the house.
Having 2 or three five’s gone from the deck will actually give the player a quite substantial edge more than the betting house, and this is when a card counter will generally raise his wager. The difficulty with counting 5’s and nothing else is that a deck low in 5’s occurs quite rarely, so gaining a massive advantage and making a profit from that situation only comes on rare instances.
Any card between two and eight that comes out of the deck raises the player’s expectation. And all nine’s. 10’s, and aces enhance the gambling den’s expectation. But eight’s and 9’s have extremely smaller effects on the outcome. (An eight only adds point zero one per-cent to the player’s expectation, so it is generally not even counted. A 9 only has 0.15 % affect in the other direction, so it’s not counted either.)
Understanding the results the low and good cards have on your anticipated return on a wager would be the first step in understanding to count cards and wager on pontoon as a winner.
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