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anonymous
 one year ago
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.)
anonymous
 one year ago
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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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I have half of the answer. C (21,5) = 20,349 do I multiply by 3? i also need to use C (7,5) = 21 I thought the answer was \[\frac{ 5 \times 21 }{20,349}\approx0.0051\] But it is wrong

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0all of the same color means "all red OR all white OR all blue"

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so \[3\times \frac{\binom{7}{5}}{\binom{21}{5}}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh yeah sorry i didn't read carefully YES multiply by 3

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0permutation problem rather than a combination problem since the balls aren't replaced

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you get the same answer no matter which way you go it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{7\times 6\times 5\times 4\times 3}{21\times 20\times 19\times 18\times 16}\]same as \[\frac{\binom{7}{5}}{\binom{21}{2}}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you I will calculate right now

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you can just multiply your answer above by 3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I got 0.3999 and it was wrong. :_(

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you for all your help Satellite73
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