Question

1. which scenario is an example of a dependent event in probability?

a. drawing a card, replacing it, and then drawing another card
b. drawing a card and then drawing a second card without replacing the first
c. spinning two roulette wheels independently
d. rolling a die after flipping a coin

Explanation:

• Option a: When a card is replaced, the probability of drawing the second card is not affected by the first draw. So, these are independent events.
• Option b: When the first card is not replaced, the composition of the deck changes for the second draw. The outcome of the second draw depends on the first draw. So, these are dependent events.
• Option c: Spinning two roulette wheels independently means the result of one spin does not affect the other. They are independent events.
• Option d: Rolling a die after flipping a coin. The result of the coin - flip has no impact on the die - roll. They are independent events.

Answer:

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