Question

question 9
10 pts

a card is drawn from a standard 52-card deck, then replaced, and another card is then drawn. the events are:

dependent
independent
non - overlapping
impossible

Explanation:

Analyze the card drawing process

A card is drawn from a standard 52-card deck and then replaced. Because the card is replaced, the deck returns to its original state of 52 cards before the second draw.

Determine the relationship between the events

Since the first card is replaced, the outcome of the first draw does not affect the probability of any outcome on the second draw. The probability of drawing any specific card remains \(\frac{1}{52}\) for both draws.

Match with the given options

Events where the occurrence of one does not affect the probability of the occurrence of the other are defined as independent events.

Answer:

• Dependent
• Independent (Correct answer)
• Non - Overlapping
• Impossible