If you draw a card from a deck and do not replace it, what type of events does this represent when drawing a second card?

When you draw a card from a deck and do not replace it before drawing a second card, this scenario represents dependent events. ### Explanation: 1. **Dependent Events**: - In probability, two events are considered dependent if the outcome or occurrence of the first event affects the outcome or occurrence of the second event. - In this case, drawing the first card changes the composition of the deck (the total number of cards and the number of each type of card), which directly influences the probabilities associated with drawing the second card. 2. **Example**: - If you draw an Ace from a standard 52-card deck, there are now only 51 cards left in the deck. The probability of drawing another Ace on the second draw is now different than it was before the first draw (there are now only 3 Aces left instead of 4). ### Conclusion: Thus, drawing a second card after the first without replacement represents dependent events, as the outcome of the first draw affects the probabilities of the second draw.