On a baseball team, 5 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?
Select.
A) 2/5  B) 3/5  C) 3/10  D) 7/10  E) 11/20
The total number of ways to choose three players is 5C3=10.   Excluding Alice, the number of ways to choose three players is 4C3=4.   P(Alice is not chosen)=4/10=2/5.   P(Alice is chosen)=1 - 2/5 = 3/5.   The answer is 3/5.
<result>B</result>
On a baseball team, 5 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?