Using the fact that n! gives the number of permutations of a set of n elements, provide another proof of P(A) obtained at (2)-(f) and generalize it to the case of n teams (n being even).

how many possible draws feature the game Republic of Ireland vs Germany? (f) Derive the probability of the event A={the Republic of Ireland will avoid Germany at this stage of the tournament}. Was there a more direct way to derive this result? [15 pts] (g) [Bonus Question] Another way to derive the result of (2)-(f). Denote by T1, T2, . . . , T16 the 16 teams involved in the tournament. An efficient method to simulate a random draw of 8 games from a computer would be: Step 1: shuffle the order of the elements of the vector v = [T1 T2 · · · T16] i.e. generate a random permutation σ(v) of the vector v. For example, the generated permutation might be σ(v) = [T13 T6 T4 T10 · · · T11 T1] . Step 2: split the vector by groups of two consecutive elements: in the case of the permutation generated above σ(v), define the games as T13 vs T6, T4 vs T10, …, T11 vs T1. Here, we consider that the order of the games does not matter. More precisely, the two following draws are regarded as identical: T13 vs T6 T4 vs T10 T2 vs T5 T16 vs T12 T3 vs T15 T9 vs T7 T14 vs T8 T11 vs T1 T4 vs T10 T13 vs T6 T2 vs T5 T16 vs T12 T3 vs T15 T9 vs T7 T14 vs T8 T11 vs T1 Using the fact that n! gives the number of permutations of a set of n elements, provide another proof of P(A) obtained at (2)-(f) and generalize it to the case of n teams (n being even).

Order a unique copy of this paper
(550 words)

Approximate price: $22

Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read more

Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read more

Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read more

Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read more

Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
$26
The price is based on these factors:
Academic level
Number of pages
Urgency

Order your stats paper today and save 10% with the discount code SPSSCOVID10