A 3-person basketball team consists of a guard, a forward,

Solution :

Step 1 of 2:

Given a 3-person basketball team consists of a guard, a forward, and a center.

Our goal is:

a). We need to find the probability of selecting a complete team.

b). We need to find the probability that all 3 players selected play the same position.

Here we have 3 choices for a guard from 3 teams.

Let the first person can be any position, the probability is 1.

Then the second person can be any 2 positions

The probability is  .

The third person should be of one leftover position, then the probability is

Then the probability of selecting a complete team is

=.

=

=

= 0.2222

Therefore, the probability of selecting a complete team is 0.2222.