Question

A tourist in Ireland wants to visit five different cities. If the route is

randomly selected, what is the probability that the tourist will visit the

cities in alphabetical order? Round your answer to three decimal places.

0.004

1.234

0.023

0.008

Answer 1

0.008

Explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Total outcomes:

He will visit 5 different cities. So the total number of ways this can happen is an arrangment of 5 elements, that is:

`T = A_(5) = 5! = 120`

Desired outcome:

In alphabetical order, so only one possible outcome, which means that
`D = 1`

Probability:

[tex]p = \frac{D}{T} = \frac{1}{120} = 0.008[/tex