Solve the following:
Q: An experiment consists of rolling one die. Let A be event that the die shows more than one, B be event that the die shows more than 4, and C be event that die shows an even number.
a) List the sample space of this experiment.
b) Find P(A), P(B), P(C)
c) Find P(A or C), P(A or B), P(A and C), P(B and C)
d) Are A and C independent? Defend your answer.
e) Are B and C independent? Defend your answer.