On a baseball team, 11 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) 1/8
B) 3/8
C) 1/11
D) 2/11
E) 3/11
Each of the 11 players has an equal chance to be chosen to play 1st, 2nd, or 3rd base.   Each game, three players out of eleven are chosen randomly.   The probability that a player is chosen to play one of the three bases is 3/11.   The answer is 3/11.
<result>E</result>
On a baseball team, 11 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?