Drawing 2 cards from a standard 52-card deck without replacing the first card back is an example of dependent probability or without replacement probability.

Here’s why:

• Dependent probability occurs because the outcome of the second draw depends on the first draw. Once the first card is drawn, there are only 51 cards left in the deck, so the probability of drawing the second card changes.

• Without replacement means that after the first card is drawn, it is not returned to the deck, so the number of cards decreases, affecting the probabilities for subsequent draws.

In summary, this type of event is modeled using dependent probability where the total number of outcomes decreases with each card drawn.

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Would you like a more detailed breakdown of the probabilities involved? Let me know if you have any questions!

Here are 5 related questions:

1. What is the probability of drawing two specific cards in succession without replacement?
2. How does the probability of drawing a particular card change with each successive draw without replacement?
3. What is the difference between dependent and independent probability?
4. How would this problem change if the first card were replaced back into the deck?
5. Can you calculate the probability of drawing a pair (e.g., two aces) in two draws from a deck without replacement?

Tip: When calculating probabilities without replacement, always adjust the total number of possible outcomes for each successive draw!