On a baseball team, 6 players including Alice want to play 1st base, 2nd base, or 3rd base. Before every game, the coach chooses a name randomly from a bag and this person plays 1st base. Then the coach chooses the next name randomly and this person plays 2nd base. The coach then chooses a third name randomly and this person plays 3rd base. What is the probability that Alice plays 1st, 2nd, or 3rd base?
Choose the correct answer
A) 1/4  B) 1/3  C) 1/2  D) 2/3  E) 3/4
The total number of ways to choose three players is 6C3=20.   Excluding Alice, the number of ways to choose three players is 5C3=10.   P(Alice is not chosen)=10/20=1/2.   P(Alice is chosen)=1 - 1/2 = 1/2.   The answer is 1/2.
<result>C</result>
On a baseball team, 6 players including Alice want to play 1st base, 2nd base, or 3rd base. Before every game, the coach chooses a name randomly from a bag and this person plays 1st base. Then the coach chooses the next name randomly and this person plays 2nd base. The coach then chooses a third name randomly and this person plays 3rd base. What is the probability that Alice plays 1st, 2nd, or 3rd base?