This problem involves determining whether two events are independent or dependent. Here's the analysis:

The scenario describes selecting two marbles from a bag without replacement:

1. Event A: The first marble is red.
2. Event B: The second marble is blue.

Key Concepts:

• Independent Events: Two events are independent if the outcome of one does not affect the outcome of the other.
• Dependent Events: Two events are dependent if the outcome of one affects the outcome of the other.

Since the selection is done without replacement, the outcome of the first event (the color of the first marble) affects the probabilities for the second event (as there are fewer marbles left in the bag). This means the two events are dependent.

Correct Answer: B) Dependent

Let me know if you need further explanation!

Here are five related questions to expand on this concept:

1. What is the probability that both marbles are the same color in this scenario?
2. How would the answer change if the selection was done with replacement?
3. How do you calculate probabilities for dependent events like these?
4. What are some real-life examples of dependent events?
5. How does the total number of marbles in the bag affect the probability calculations?

Tip: When solving problems involving probabilities, always clarify whether the events are with or without replacement to determine dependency!