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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.)

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  1. anonymous
    • one year ago
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    I 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

  2. anonymous
    • one year ago
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    all of the same color means "all red OR all white OR all blue"

  3. anonymous
    • one year ago
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    so \[3\times \frac{\binom{7}{5}}{\binom{21}{5}}\]

  4. anonymous
    • one year ago
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    oh yeah sorry i didn't read carefully YES multiply by 3

  5. campbell_st
    • one year ago
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    permutation problem rather than a combination problem since the balls aren't replaced

  6. anonymous
    • one year ago
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    ?

  7. anonymous
    • one year ago
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    you get the same answer no matter which way you go it

  8. anonymous
    • one year ago
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    \[\frac{7\times 6\times 5\times 4\times 3}{21\times 20\times 19\times 18\times 16}\]same as \[\frac{\binom{7}{5}}{\binom{21}{2}}\]

  9. anonymous
    • one year ago
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    thank you I will calculate right now

  10. anonymous
    • one year ago
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    you can just multiply your answer above by 3

  11. anonymous
    • one year ago
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    I got 0.3999 and it was wrong. :_(

  12. anonymous
    • one year ago
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    I got it!!! =0.0031

  13. anonymous
    • one year ago
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    thank you for all your help Satellite73

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