Question

In: Statistics and Probability

In a football or soccer game, you have 22 players, from both teams, in the field....

In a football or soccer game, you have 22 players, from both teams, in the field. What is the probability of having any two players with the same birthday? (just assume 365 days a year and don’t have to do the exact calendar month and day, use the day number from 1 to 365)

Find the closed form mathematical solution by probability theory. Show your derivation/proof.

Solutions

Expert Solution


Related Solutions

Two football players collided on the field, and both went flying backwards. Energy was transferred from...
Two football players collided on the field, and both went flying backwards. Energy was transferred from each player to the other, sending them in the opposite direction from which they had been running. tell whether elastic or inelastic? explain how energy was conserved/not conserved describe all forms of energy incolved and how energy was transferred between them describe the work done on the sytem, including its sign and source
Girls from four different soccer teams are to be tested for mean goals scored per game.
Girls from four different soccer teams are to be tested for mean goals scored per game. The entries in the table are the goals per game for the different teams. At the 0.10 level of significance, are the mean goals scored similar among the different teams? Team 1 Team 2 Team 3 Team 4 4 1 2 0 3 2 3 1 4 0 2 1 4 3 4 0 2 4 0 2 How many teams are we looking...
American football uses a field that is 100.0 yd long, whereas a soccer field is 100.0...
American football uses a field that is 100.0 yd long, whereas a soccer field is 100.0 m long. Which field is longer, and by how much (give yards, meters, and percent)?
Soccer Outlet sells soccer equipment to both local teams and individual customers. They need to decide...
Soccer Outlet sells soccer equipment to both local teams and individual customers. They need to decide whether to order 100, 200, 300, or 400 pairs of the latest type of soccer shoe that has just come on the market. Soccer Outlet will sell these shoes for PhP1400 per pair after paying PhP1000 per pair from the manufacturer. After the current soccer season ends, Soccer Outlet will discount any remaining pairs to PhP500. Assume the demand for these shoes can be...
Passing the ball between two players during a soccer game is a critical skill for the...
Passing the ball between two players during a soccer game is a critical skill for the success of a team. A random sample of passes made by the English and German teams in the 2010 World Cup was drawn, and the number of successful passes in each sample was counted. Is there any difference in accuracy if we assume a level of significance of .01? See data below: Germany England # of successful passes 69 71 Total in the sample...
(i) Show that if both players in a matrix game have equalizing strategies, then these strategies...
(i) Show that if both players in a matrix game have equalizing strategies, then these strategies are optimal. (ii) Find a 2 x 2 matrix game in which one player has an equalizing strategy which is not optimal.
The heights (in centimeters) of some randomly selected Men's World Cup soccer players from both Europe...
The heights (in centimeters) of some randomly selected Men's World Cup soccer players from both Europe and the U.S. are given in the table below. Europe 169 170 171 175 175 175 178 180 181 182 184 185 185 187 189 United States 167 168 169 173 176 176 178 180 180 181 183 183 186 187 187 Is there a difference between the heights of European and American soccer players? Show all 5 steps, including critical value and p-value.
1-If a static game where both players have dominant strategies was to be played sequentially, A....
1-If a static game where both players have dominant strategies was to be played sequentially, A. the outcome of the dynamically played game would be the same with the outcome of the simultaneously played game. B. the Nash equilibrium of the game will not be sub-game perfect. C. the dominant strategies will no longer exist. D. the outcome of the dynamically played game would be different than the outcome of the simultaneously played game. 2- A sub-game perfect Nash equilibrium...
At a picnic, two teams of kids played a soccer game, after which one player's name...
At a picnic, two teams of kids played a soccer game, after which one player's name was randomly chosen to win a prize. There are 22 kids in total. The winning team in the soccer game consists of 8 girls and 3 boys and the losing team consists of 4 girls and 7 boys. Given that the prize winner is a boy, what is the probability that he also comes from the winning soccer team? Hint: Let E and F...
Suppose you have four extra tickets to a football game and you are trying to determine...
Suppose you have four extra tickets to a football game and you are trying to determine which of your five closest friends to take with you: Mark, Samuel, Elizabeth, James, and Mary. You decided to randomly choose four of them to attend the game with you. What is the probability that you will choose at least one friend whose name starts with the letter M? 0 2/5 4/5 1 2
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT