Question

which scenario is an example of a dependent event in probability? a. drawing a card and then drawing a second card without replacing the first b. rolling a die after flipping a coin c. spinning two roulette wheels independently d. drawing a card, replacing it, and then drawing another card

Explanation:

• Option a: When drawing a card without replacement, the outcome of the second draw depends on the first draw (as the composition of the deck changes).
• Option b: Flipping a coin and rolling a die are independent. The result of the coin - flip does not affect the die - roll.
• Option c: Spinning two roulette wheels independently means the outcome of one spin has no impact on the other.
• Option d: When a card is replaced before the second draw, the deck is in the same state as before the first draw. So, the two draws are independent.

Answer:

A. Drawing a card and then drawing a second card without replacing the first