Given the following information about events B and C:
a) P(B)=70%
b) P(B AND C)=0
c) P(C)=45%
Are B and C mutually exclusive, independent, both, or neither? Select the correct answer below:
a. B and C are both mutually exclusive and independent because P(B AND C)=0
b. B and C are independent because P(B AND C)=0
c. B and C are mutually exclusive because P(B AND C)=0.
d. B and C are neither mutually exclusive nor independent.