If (1+3p)/3, (1−p) /4, (1−2p)/2 are the possibilities of three mutually exclusive events. Find, if any, the limits for the values of p?

A. p ∈ [0, 1/2]
B. p ∈ [1/3,1]
C. p ∈ [1/3, 1/2]
D. p ∈ [1/2, 1]