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An-urn-contains-24-balls-6-white-6-black-6-green-and-6-red-If-4-balls-are-drawn-at-random-with-replacement-What-is-the-probability-that-at-least-3-different-colors-are-represented-in-the-




Question Number 133818 by bramlexs22 last updated on 24/Feb/21
An urn contains 24 balls : 6 white , 6 black,   6 green , and 6 red. If 4 balls   are drawn at random with replacement  . What is the probability that  at least 3 different colors are   represented in the sample ?
$$\mathrm{An}\:\mathrm{urn}\:\mathrm{contains}\:\mathrm{24}\:\mathrm{balls}\::\:\mathrm{6}\:\mathrm{white}\:,\:\mathrm{6}\:\mathrm{black},\: \\ $$$$\mathrm{6}\:\mathrm{green}\:,\:\mathrm{and}\:\mathrm{6}\:\mathrm{red}.\:\mathrm{If}\:\mathrm{4}\:\mathrm{balls}\: \\ $$$$\mathrm{are}\:\mathrm{drawn}\:\mathrm{at}\:\mathrm{random}\:\mathrm{with}\:\mathrm{replacement} \\ $$$$.\:\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that} \\ $$$$\mathrm{at}\:\mathrm{least}\:\mathrm{3}\:\mathrm{different}\:\mathrm{colors}\:\mathrm{are}\: \\ $$$$\mathrm{represented}\:\mathrm{in}\:\mathrm{the}\:\mathrm{sample}\:? \\ $$

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