Mathematics in bridge.
There are many simple and interesting math problems in bridge. Each deck has 52 cards, and each card has 13 cards. Each deck has four colors; Each suit is 13, so 52, 13 and 4 become the basic numbers of bridge. The simple way to judge the strength of bridge is to calculate the big cards, a = 4；; K=3, Q=2, J= 1. Each deck has four aces, four kings, four queens and four jacks, and the total number of big cards is 40 points. The number of foundation piers specified for the bridge is 6 piers; Wait a minute. As long as you can simply add and subtract, you can learn and experience the fun of bridge.
There are complex and abstruse mathematics in Bridge. 52 cards of four colors are divided into four groups, each group is 13 cards; How many distributions can there be? This is a mathematical permutation and combination problem. It has 5.36× 1028 combinations. It is equivalent to watching 5000 decks of cards every day, and it takes 30 trillion years to see all the changes. It can be said that the change of the bridge is infinite.
The distribution of bridges is closely related to mathematical probability. Bridge is an intellectual sport for the blind. In the process of playing cards, the direction of playing cards is clockwise. It is very important to judge the situation of cards, especially the exact position of big cards and the actual length of a suit. Many agreements in bridge are not necessarily possible, and winning or losing is a matter of one mind. This is the mysterious attraction of bridge. Bridge experts can quickly analyze the probability of the distribution of cards, and then choose the route or scheme with higher winning rate. In some big-name combination suits, there are often a variety of styles, which requires understanding the success probability of various styles, so as to choose the style with the greatest success probability, which is also the basic skill in Zhuang Zhuang Zhuang technology. Let's compare the success probability of some common single styles.
For example, AQ32 is in the north and 6254 is in the south. There are several ways to play this single card group:
One way to play is to play cards with a black hand and fly Q with a clear hand. As long as k is in the west hand, you can get 2 piers. There is a 50% chance of success. And when this suit is 3-3 distribution, even if K is in the east hand, you can get two piers. Its probability ρ =1/2× 35.5% =17.8%, therefore, the success probability of this style of play is σ ρ = 50%+ 17.8% = 67.8%. If a is knocked out first, then the black hand leads the card, the small card is followed by the west, and the Q is cleared, then there is another chance to place an order for the East. Its probability ρ =1/6×14.5% =1.2%. The success probability σ ρ = 67.8%+ 1.2% = 69%.
Another way of playing is to draw an A first, then both the open hand and the dark hand play small cards, give each other a trick, and finally the dark hand plays the cards. For example, with the small card in the west, the Q in the open hand increases the success probability of the double K in the east, and the probability of 2-4 distribution is 48.45%. It is also a basic skill in village building skills to know the success probability of various styles of play with double belts in the East, so as to choose the style with the greatest success probability. Let's compare the success probability of some common single styles. For example, if you hold AQ32 in the north and 62 54 in the south, there are several ways to play this single deck: one is to play the card with a black hand and fly with a Q in the clear hand. As long as k is in the west hand, you can get 2 piers. There is a 50% chance of success. And when this suit is 3-3 distribution, even if K is in the east hand, you can get two piers. Its probability ρ =1/2× 35.5% =17.8%, therefore, the success probability of this style of play is σ ρ = 50%+ 17.8% = 67.8%. If a is knocked out first, then the black hand leads the card, the small card is followed by the west, and the Q is cleared, then there is another chance to place an order for the East. Its probability ρ =1/6×14.5% =1.2%. The success probability σ ρ = 67.8%+ 1.2% = 69%. Another way of playing is to draw an A first, then both the open hand and the dark hand play small cards, give each other a trick, and finally the dark hand plays the cards. For example, with the small card in the west, the Q in the open hand increases the success probability of the double K in the east, and the probability of 2-4 distribution is 48.45%. Therefore, the overall success rate of this style of play is 77. 1%. Obviously better than the first two styles of play.