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Suppose a box contains 3 red balls and 3 blue balls. You pick balls at random from the box, one at a time. When you

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Suppose a box contains 3 red balls and 3 blue balls. You pick balls at random from the box, one at a time. When you pick a red ball, you keep it. When you pick a blue ball, you return it to the box. On average, how many times will you have to pick a ball from the box until you have picked out all three red balls

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