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.
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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