100-Meter Run, again Refer to Exercise 4.14, in which a 100-meter sprint is run by John, Bill, Ed,and Dave. Assume that all of the runners are equally qualified, so that any order of finish is equally likely. Use the mn Rule or permutations to answer these questions:
a. How many orders of finish are possible?
b. What is the probability that Dave wins the sprint?
c. What is the probability that Dave wins and John places second?
d. What is the probability that Ed finishes last?
Reference:
100-Meter Run Four equally qualified runners, John, Bill, Ed, and Dave, run a 100-meter sprint, and the order of finish is recorded.
a. How many simple events are in the sample space?
b. If the runners are equally qualified, what probability should you assign to each simple event?
c. What is the probability that Dave wins the race?
d. What is the probability that Dave wins and John places second?
e. What is the probability that Ed finishes last?
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