Answer :
Answer:
The probability is 1/3,916,440
Explanation:
Here, we want to calculate the probability that she selects the route of four specific capitals.
The first thing to do here is to calculate the number of routes possible.
This is a permutation problem and the total number of possible ways will be 46 P 4 = 46!/(46-4)! = 46!/42! = 3,916,440
Now the probability of selecting the route of four specific capitals will be 1/3,916,440
The probability of her choosing a route out of those 4 would be 0.000000255.
The data given;
- The number of routes = 4
- Total number of available route = 46
Permutation
To solve this problem, we need to use permutation to find the number of ways she can take the routes.
[tex]P = \frac{46!}{(46-4)!}\\P = 3916440[/tex]
The number of ways she can travel is 3916440.
Probability
This chance or likelihood of an event to occur.
[tex]P = \frac{outcome of an event}{total number of events in the space} \\P = \frac{1}{3916440}\\P = 2.55*10^-^7[/tex]
The probability of her taking any of the routes is 0.000000255.
Learn more about probabilities here;
https://brainly.com/question/25275758