1. The problem asks to identify which pairs of events are independent in a probability experiment. 2. **Definition of independent events:** Two events A and B are independent if the occurrence of A does not affect the probability of B occurring, mathematically: $$P(A \cap B) = P(A) \times P(B)$$ 3. Let's analyze each option: - **A:** Drawing two red cards without replacement means the first draw affects the second draw's probability. So, events are dependent. - **B:** Picking a red marble from a bag and rolling a three on a die are unrelated actions. The outcome of one does not affect the other. So, events are independent. - **C:** Flipping heads on a coin and spinning blue on a spinner are separate random events with no influence on each other. So, events are independent. - **D:** Picking two red marbles without replacement affects the second pick's probability, so events are dependent. 4. **Final answer:** The independent events are options B and C.