An urn contains seven red balls, seven white balls, and seven blue balls, and sample of five balls is drawn at random without replacement.
Compute the probability that all of the balls in the sample are the same color. (Round your answer to four decimal places.)

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all of the same color means "all red OR all white OR all blue"

so \[3\times \frac{\binom{7}{5}}{\binom{21}{5}}\]

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