Asked Jan 11, 2020

Scheduling Routes A presidential candidate plans to begin her campaign by visiting the capitals of 5 of the 50 states. If the five capitals are randomly selected without replacement, what is the probability that the route is Sacramento, Albany, Juneau, Hartford, and Bismarck, in that order?


Expert Answer

Step 1

Permutations Rule:

There are n different items and r number of selections and the selections are made without replacement, then the number of different permutations (order counts) is given by

Statistics homework question answer, step 1, image 1
Step 2

Here, total number of states, n=50 and number of randomly selected capitals, r=5. Also, the selections are made without replacement.

Substitute 50 for n and 5 for r, then the number of different possible arrangements is

Statistics homework question answer, step 2, image 1
Step 3

Let event A be denote that selecting the route in the order Sacramento, Albany, Juneau, Har...

Statistics homework question answer, step 3, image 1

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