Events A,B,C are mutually exclusive events such that P(A)=3x+1/3, and P(B)=1−x/4, and P(C)=1−2x/2. The set of possible values of x is in the interval
a. [1/3,2/3]
b. [1/3,13/3]
c. [0,1]
d. [1/3,1/2]