Question

Event A, B and C are mututally exclusive and exhaustive events with p(A) = 0.4, p(B) = 0.25, and p(C) = 0.35. For an event D, we know that p(D|A) = 0.05, p(D|B) = 0.08, and p(D|C) = 0.1. Find p(D).