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)?

Correct option is D

​$$\begin{aligned}&\text{To minimize } P(A) + P(B), \text{ we want to make } P(A \cap B) \text{ as small as possible because this will directly} \\&\text{affect the sum } P(A) + P(B). \text{ The smallest possible value of } P(A \cap B) \text{ is given as } 0.125 \text{ (since } 0.125 \le \\&P(A \cap B) \le 0.375). \\&\text{Substituting } P(A \cap B) = 0.125 \text{ into the inequality:} \\&\qquad P(A) + P(B) \ge 0.75 + 0.125 \\&\qquad P(A) + P(B) \ge 0.875\end{aligned}$$​​