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, the events that occur when drawing a second card represent dependent events. Here's the reasoning: 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 (there is one less card), which directly affects 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 would have been if you had replaced the first card. Initially, the probability of drawing an Ace was \( \frac{4}{52} \), but after drawing one Ace, it becomes \( \frac{3}{51} \). In summary, drawing a second card after the first without replacement represents dependent events because the outcome of the first draw influences the probabilities of the second draw.