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A bin contains orange, blue, green, and yellow water balloons. You randomly select two balloons to toss. Are events A and B independent or dependent? Event A: You choose a green balloon first.Event B: You choose a yellow balloon second.

Question

A bin contains orange, blue, green, and yellow water balloons. You randomly select two balloons to toss. Are events A and B independent or dependent? Event A: You choose a green balloon first.Event B: You choose a yellow balloon second.

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Solution

The events A and B are dependent. This is because after the first event (choosing a green balloon), the total number of balloons in the bin has decreased, which changes the probability of the second event (choosing a yellow balloon). If the events were independent, the outcome of the first event would not affect the probability of the second event.

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You roll two number cubes.Let event A = You roll an even number on the first cube.Let event B = You roll a 6 on the second cube.Are the events independent or dependent? Why?A.Independent, because the outcome of the first roll doesn't affect the outcome of the second roll.B.Dependent, because 6 is an even number.C.Independent, because they have no outcomes in common.D.Dependent, because both cubes have six sides.

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