Suppose that all of the outcomes of a random variable are {a, b, c, d, e}, and that P(a)=P(b)=P(c)=P(d)= 1/4, (that is, all outcomes a, b, c, and d each have a 1/4 probability of occuring), and P(e)=0. Define the events A = {a,b}, B = {b,c}, C={c,d} and D= {e} Then events A and C are?

Mutually exclusive and independent.

Not mutually exclusive but independent.

Mutually exclusive but not independent.

Neither mutually exclusive or independent.