One die is rolled. Let

A = event the die comes up even
B = event the die comes up odd
C = event the die comes up 4 or more
D = event the die comes up at most 2
E = event the die comes up 3

give your answer as "yes" or "no" (without the quotation)

(a) Are events B and C mutually exclusive?
answer:

(b) Are events C and E mutually exclusive?
answer:

(c) Are events A and C mutually exclusive?
answer:

(d) Are events C, D and E mutually exclusive?
answer:

(e) Are there any four mutually exclusive events among A, B, C, D and E?
answer: