The mathematical model of table tennis competition is to explore how to win the biggest chance effectively according to the different order of the contestants. As far as we know, in the Olympic Games, table tennis competition is decided by two wins in five games, because two wins in five games can better reflect the comprehensive ability of athletes. How to win as many games as possible is the pursuit of every team. The establishment of table tennis model can help us solve this problem faster, and the modeling problem of table tennis can be combined with the modeling problem of mathematics. Although the strength of the two teams is equal, the different order of appearance may lead to different results, so reasonable arrangement is the key to winning.

The matrix given in the question only played five games? Answer? The predicted result of the team's victory. According to the matrix to illustrate the strength of the two teams, different playing schemes will have different results. When standing? Answer? From the team's point of view, the analysis adopts different exit schemes. We have assumed, analyzed, modeled and solved the "best of five games" table tennis competition. Answer? The teams appear in the order of I and B? Set this time when the team comes out in J order? Answer? The probability of winning every game is a constant, assuming that winning every game is independent of each other. Therefore, it is necessary to list the winners and losers of each team in five games and compare the strength of both sides. From the matrix, a? The team came out in order, and then what? b？ Teams come out in J order and play five innings? Answer? Can the team win the game, A and B? The strength of the two teams is related to the number of wins. Answer? The probability distribution of the team's victory in five games is: k=0, 1, 2, 3, 4, 5, and then calculate the best of five games? Answer? Probability of the team winning in the end: in the matrix? Answer? The teams appear in the order of I and B? In the best of five games, when the team comes out in J order. Answer? The probability that the team will win in the end.

Purpose of modeling: Through the past record of two table tennis teams, predict the outcome of a game with two wins in five games, and analyze the advantages and disadvantages of this prediction method. Finally, based on this prediction method, the table tennis competition system is analyzed and evaluated, and some new competition methods are put forward. 2 problem restatement 1. BACKGROUND: In the table tennis match between the two teams, the results are different because of the different appearances of the players. Based on the above problems, this paper discusses the influence of different players' appearance order on the game results. 2. Question:? a、B？ Two table tennis teams play a table tennis match, winning two out of five games. Each team sends three players to play, and each team has three order of players (respectively, if? Answer? Team? 1 , ? 2 , ? 3 and? 1 , ? 2 , ? 3 )。