Let A and B be two events such that P(A∪B) ≥ 0.75 and 0.125 ≤ P(A∩B) ≤ 0.375. What is the minimum value of P(A) + P(B)?

Using P(A∪B) = P(A) + P(B) - P(A∩B), we get P(A) + P(B) = P(A∪B) + P(A∩B). To minimize P(A)+P(B), minimize both terms. Minimum P(A∪B) = 0.75 and minimum P(A∩B) = 0.125. So minimum P(A)+P(B) = 0.75 + 0.125 = 0.875.