When four 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.

​P(shoot free throws in alphabetical ​order) = _____

Respuesta :

The total number of possibilities of drawing their names is given by permutation.

4P4 = 24

 

The total possibility of drawing their names in alphabetical is only 1.

 

Therefore the probability is:

P = 1 / 24

P = 0.0417

 

Therefore there is about 4.17% chance that it will be in alphabetical order