Question

Which events are independent? Check all that apply. rolling two number cubes at the same time choosing a card, and then flipping a coin choosing a first, second, and third place winner drawing a name from a hat, keeping it, then drawing another name drawing a marble from a bag, replacing it, then drawing another marble flipping the same coin three times

Answer 1

Independent events are such events where the occurrence of any one event does not affect the occurrence of any other event.

Part A: rolling two number cubes at same time does not affect outcome of any one cube. It would be Independent events.

Part B: choosing a card, then flipping a coin according to favourable outcome can affect the result. It would be dependent events.

Part C: choosing a winner, keeping it, then choosing another name depends upon remaining persons. It would be dependent events.

Part D: drawing a marble, replacing it, then drawing another marble does not affect number of marbles in the bag. It would be Independent events.

Part E: flipping any coin three times does not affect past or future outcomes. It would be Independent events.

Hence, options A, D, and E are Independent events.

Answer 2

Answer:

1.rolling two number cubes at the same time

2.choosing a card, and then flipping a coin

5.drawing a marble from a bag, replacing it, then drawing another marble

6.flipping the same coin three times