On a baseball team, 7 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 choice from the following choices
A) 2/3 B) 3/5 C) 4/5 D) 3/7 E) 4/7
The total number of ways to choose three players is 7C3=35.   Excluding Alice, the number of ways to choose three players is 6C3=20.   P(Alice is not chosen)=20/35=4/7.   P(Alice is chosen)=1 - 4/7 = 3/7.   The answer is 3/7.
<result>D</result>
On a baseball team, 7 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?