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An urn contains n = 9 balls with different colors. We draw a ball randomly, record the color and then replace it. We must record

An urn contains n = 9 balls with different colors. We draw a ball randomly, record the color and then replace it. We must record all colors to get a prize, and so far m = 2 colors have been recorded. What is the probability that it will take at most x = 3 draws to get a new color?

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