How many different scoring scenarios are possible

Reference no: EM131178297

his procedure is used to break ties in games in the championship round of the World Cup soccer tournament. Each team selects five players in a prescribed order. Each of these players takes a penalty kick, with a player from the first team followed by a player from the second team and so on, following the order of players specified. If the score is still tied at the end of the 10 penalty kicks, this procedure is repeated. If the score is still tied after 20 penalty kicks, a sudden-death shootout occurs, with the first team scoring an unanswered goal victorious.

a) How many different scoring scenarios are possible if the game is settled in the first round of 10 penalty kicks, where the round ends once it is impossible for a team to equal the number of goals scored by the other team?

b) How many different scoring scenarios for the first and second groups of penalty kicks are possible if the game is settled in the second round of 10 penalty kicks?

c) How many scoring scenarios are possible for the full set of penalty kicks if the game is settled with no more than 10 total additional kicks after the two rounds of five kicks for each team?

Reference no: EM131178297

Questions Cloud

Initial choice of heating by an elderly individual : (a) Describe the initial choice of heating by an elderly individual; (b) Analyse the effects of an increase in the cost of heating on the consumption of heating and the well-being of that individual before and after the implementation of governmen..

Annual coupon bond with a face value : A five year 6% annual coupon bond with a face value of $1000 sells in the market for a YTM of 5%. What is the fair market price of this bond? XYZ Corp just paid a $1.50 dividend per share yesterday. You expect dividends to grow at 3% per year forever..

Global share of the personal computer market : During the 1990s, Apple Computer saw its global share of the personal computer market fall from above 10 percent to less than 5 percent. Despite a keenly loyal customer base, Apple found it more and more difficult to compete in a market dominated ..

What was his total return for this investment : Three years ago, James Matheson bought 340 shares of a mutual fund for $23 a share. During the three-year period, he received total income dividends of 0.68 per share. He also received total capital gain distributions of $1.65 per share. At the end o..

How many different scoring scenarios are possible : How many different scoring scenarios are possible if the game is settled in the first round of 10 penalty kicks, where the round ends once it is impossible for a team to equal the number of goals scored by the other team?

Should ebay establish the distribution cente : Ebay is considering whether to establish a sale distribution center in China. Given the large Chinese consumer market, Eaby estimates that its net sales revenues will be 15 million yuans in the first year, 20 million yuans in the second year, and 35 ..

Create a table in word to insert your calculations : Striker Auto is looking into their car manufacturing costs at its Kansas City Plant. Create a table in Word to insert your calculations and submit the completed table for this module's assignment.

Expect the pacific oceanto : The CCD (Carbonate Composition Depth) is the water depth atwhich the rate of supply of calcium carbonates from the surface isequal to the rate of dissolution. Do you expect the Pacific Oceanto have a shallower or deeper CCD than the Atlantic Ocean..

How they would measure and adjust performance of business : Using these cost drivers, explain how they would measure, manage, and adjust the performance of the business against these drivers.

User Account

All Pages