Question
Using a standard 52-card deck, Michelle will draw 6 cards with replacement. If Event $A=$ drawing all hearts and Event $B=$ drawing no face cards, which of the following best describes events $A$ and $B$ ?

Select the correct answer below:
independent
dependent
mutually exclusive
complement
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Step 1 ：Understand the definitions of the terms given in the options: independent, dependent, mutually exclusive, and complement.

Step 2 ：Two events are independent if the occurrence of one does not affect the probability of the occurrence of the other.

Step 3 ：Two events are dependent if the occurrence of one affects the probability of the occurrence of the other.

Step 4 ：Two events are mutually exclusive if they cannot both occur at the same time.

Step 5 ：The complement of an event is the event not occurring.

Step 6 ：In this case, drawing all hearts (Event A) and drawing no face cards (Event B) are not mutually exclusive, because it's possible to draw a heart that is not a face card.

Step 7 ：They are not complements, because it's possible for neither event to occur (for example, if Michelle draws all diamonds).

Step 8 ：However, whether or not Michelle draws a heart does not affect whether or not she draws a face card, and vice versa. Therefore, the events are independent.

Step 9 ：Final Answer: \(\boxed{\text{independent}}\).