Suppose there are 30 identical blue balls and 15 identical red balls in a bag. Without looking inside the bag, take a ball out of it and write down its color. Repeat this 10 times. What is the probability that 6 of these 10 balls are blue in each of the following situations? 1) What if we return the ball to the bag after each selection and then make the next selection? 2) What if we do not return the ball to the bag after each selection and then make the next selection?

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Suppose there are 30 identical blue balls and 15 identical red balls in a bag. Without looking inside the bag, take a ball out of it and write down its color. Repeat this 10 times. What is the probability that 6 of these 10 balls are blue in each of the following situations? 1) What if we return the ball to the bag after each selection and then make the next selection? 2) What if we do not return the ball to the bag after each selection and then make the next selection?

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