Which of the following events are independent? Two events are independent if knowing that one event occurred does not affect the probability of the other event occurring.

1. Flipping five heads in a row and then flipping another head.

   Hint (a):

   Does one flip affect the next one?

2. Drawing two aces from a deck of cards without replacing them and then drawing another ace.

   Hint (b):

   Since the aces are not returned to the deck, the total number of cards is different for the next draw.

3. Having blue eyes, if you have blonde hair.

4. It rains this weekend, and the debate team from North City High School wins the state championship.

5. Your friend selects a diet soda from a cooler of mixed beverages and then you select a diet soda from the same cooler without looking.

   Hint (e):

   Has the probability changed after the first selection?