Question

In: Statistics and Probability

Two sport teams A and B, 7 games in total, whoever reaches 4 wins is the...

Two sport teams A and B, 7 games in total, whoever reaches 4 wins is the winner, if we assume Markov chain, P(A wins game k|A wins game k-1)=p11, P(A wins game k|A lost game k-1)=p01,
How do we use simulation to get P(game 7 is played)?
# p11: A won game k given A won game k-1
# p01: A won game k given A lost game k-1
# p0: A won the first game

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

(a) Two teams, A and B, are playing in the best-of-7 World Series; whoever gets to...
(a) Two teams, A and B, are playing in the best-of-7 World Series; whoever gets to 4 wins first wins the series. Suppose the home team always has a small advantage, winning each game with probability 0.6 and losing with probability 0.4. Also assume that every game is independent. What is the probability that team A will win the series in exactly 6 games if the series is played in the following format: A–A–B–B–B–A–A, meaning that the first two games...
Two teams, A and B, are playing a series of games. Assume 1. probability that A...
Two teams, A and B, are playing a series of games. Assume 1. probability that A won a game is p 2. result of a game will not aect result of the next game Find the range of p such that team A has the advantage in a best four of seven series.
Two team (A and B) play a series of baseball games. The team who wins three...
Two team (A and B) play a series of baseball games. The team who wins three games of five-game-series wins the series. Consider A has home-field advantage (0.7 means A has probability of winning 0.7 if it plays in its field) and opponent-field disadvantage (0.2 means A has probability of winning 0.2 if it plays in opponents field). If the series start on A team’s field and played alternately between A and B team’s fields, find the probability that series...
Teams A and B play in a basketball tournament. The first team to win two games...
Teams A and B play in a basketball tournament. The first team to win two games in a row or a total of three games wins the tournament. What is the number of ways the tournament can occur? 14 12 8 10 How many different rearrangements are there of the letters in the word BUBBLE? 60 100 120 80 How many ways are there to arrange all the words in this tongue twister? CAN YOU CAN A CAN AS A...
What sport games does it have 8 or more than 8 teams in one group where...
What sport games does it have 8 or more than 8 teams in one group where a round robin game sequence takes place? (that is, the teams play against each other once or more than once) P.S. the game must still have more than three rounds after the round-robin part of the game.
What sport games does it have 8 or more than 8 teams in one group where...
What sport games does it have 8 or more than 8 teams in one group where a round robin game sequence takes place? (that is, the teams play against each other once or more than once)
A plays B in a tournament. The one who wins three games first gets the tournament...
A plays B in a tournament. The one who wins three games first gets the tournament trophy. In each game, A's chance of winning is 0.75. Both A and B perform independently from game to game and there is no draw for any game. a) Use a negative binomial distribution to calculate the probability that A gets the tournament trophy b) Use a binomial distribution to calculate the probability that A gets the tournament trophy.
2. Consider a two-team league in which the teams play 100 games. The large market team...
2. Consider a two-team league in which the teams play 100 games. The large market team gets gate revenue 12w – (w2/20) if it wins w games while the small market team gets 8w – (w2/20) if it wins w games. There are no other sources of revenue. i) Find the equilibrium number of wins for each team and the marginal cost of a win. ii) Suppose that there is revenue sharing, with each team keeping 50% of its revenue...
4. Devos inc has 4 teams (A, B, C, D) and 4 (1, 2, 3, 4)...
4. Devos inc has 4 teams (A, B, C, D) and 4 (1, 2, 3, 4) potential tasks. The total amount of days each employee would need to allocate to each job is as follows: ​ Potential Tasks Team 1 2 3 4 A 28 33 21 35 B 41 43 23 37 C 48 28 33 42 D 49 27 43 46 Use Excel solver Match the team the most efficient task. What is the total number of days...
(URGENCY!!) In a volleyball game between two teams , A and B, the game will be...
(URGENCY!!) In a volleyball game between two teams , A and B, the game will be over if a team wins two out of three sets. In any set, team A has a 60 percent chance of winning the sets. (You may use a computer to calculate the inverse matrix. All other calculations must in in your answer page) a.   Model this game as a Markov chain. Hint: Use (WA, WB) as the states where WA is the number of...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT