Question

When twotwo basketball players are about to have a​ free-throw competition, they often draw names out of a hat to randomly select the order in which they shoot. what is the probability that they shoot free throws in alphabetical​ order? assume each player has a different name?

Answer 1

There are 2! = 2 ways to arrange the names of two basketball players in a hat.

Since, the are going to throw alphabetically, there is 1 way for the names to be arranged alphabetically.

Therefore, the probability that they shoot free throws in alphabetical​ order is $\frac{1}{2} = 0.5$