1. **Stating the problem:** We need to determine which of the given scenarios describe dependent events. 2. **Definition:** Two events are dependent if the outcome or occurrence of the first event affects the probability of the second event. 3. **Scenario analysis:** - Scenario 1: You select a blue marble, then return it before drawing a red marble. Since the marble is returned, the second draw is unaffected by the first. These events are independent. - Scenario 2: You choose a red card and keep it, then choose another red card. Since the first card is not replaced, the total number of cards changes, affecting the probability of the second draw. These events are dependent. - Scenario 3: A boy rolls a 5, then rolls again. Each roll is independent because the die is fair and rolls do not affect each other. - Scenario 4: The first child is a boy, and the second child is also a boy. Assuming gender of each child is independent, these events are independent. 4. **Conclusion:** Only scenario 2 describes dependent events. 5. **Summary:** - Dependent events: Scenario 2 - Independent events: Scenarios 1, 3, 4