Question #1 Contestants A, B, C, D, E, F, and G are in a 10K race. How many diff

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Question #1

Contestants A, B, C, D, E, F, and G are in a 10K race. How many different ways can a race with 7 runners be completed? (Assume there is no tie.)

In how many ways can A finish first and D finish second?
   

What is the probability that A finishes first and D finishes second?
Enter a reduced fraction or decimal.
  

Question #2

The table summarizes results from 978 pedestrian deaths that were caused by automobile accidents.

If two different pedestrian deaths are randomly selected, find the probability that they both involved pedestrians that were intoxicated.

Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.
prob = %

Question #3

Explanation / Answer

1) Number of different ways in which a race with 7 runners be completed = 7! = 5040

Number of ways in which A finish first and D finish second = 1 x 1 x 5! = 120

Probability that A finishes first and D finishes second = 120/5040 = 1/42

2) Probability that they both involved pedestrians that were intoxicated = [P(pedestrian was intoxicated)]2

= [(45+260)/(45+260+76+597)]2

= 0.0973

P.S: Please post different questions separately

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