which events are independent? check all that apply. rolling two number cubes at the same time choosing a…

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

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

Brief Explanations:

Independent events are those where the outcome of one event does not affect the outcome of another. Rolling two number - cubes simultaneously, the result of one cube doesn't impact the other. Choosing a card and then flipping a coin, the card - choosing has no effect on the coin - flip. Drawing a marble, replacing it, and then drawing another means the first draw doesn't change the conditions for the second. Flipping the same coin three times, each flip is an independent trial. Choosing first, second, and third - place winners is a dependent event as the selection of one affects the others. Drawing a name and keeping it makes the second draw dependent on the first.

Answer:

rolling two number cubes at the same time choosing a card, and then flipping a coin drawing a marble from a bag, replacing it, then drawing another marble flipping the same coin three times