Find the probability of guessing the top three winners (in any order) from a group of 22 finalists in a spelling bee.

Step-by-step explanation:

Given : There is a group of 22 finalists in a spelling bee.

To Find:  the probability of guessing the top three winners (in any order) from a group of 22 finalists in a spelling bee.

Solution:

Total finalists = 22

Winners = 3

So ,probability of guessing the first winner from a group of 22 finalists in a spelling bee =

Now 1 winner is selected , So, 21 finalists are remaining for the second position

So ,probability of guessing the second winner from a group of 21 finalists in a spelling bee =

Now 2 winners are selected . So, 20 finalists are remaining for the third position

So ,probability of guessing the third winner from a group of 20 finalists in a spelling bee =

So, he probability of guessing the top three winners (in any order) from a group of 22 finalists in a spelling bee :

=

=

Hence  the probability of guessing the top three winners (in any order) from a group of 22 finalists in a spelling bee is