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horsegal244

  • one year ago

A bag contains 40 marbles, 4 of which are blue, 10 are red, 25 are green, and 1 is purple. Shawna takes a marble out of the bag, records the color, and returns it to the bag. How many green marbles should she expect after 400 trials?

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  1. horsegal244
    • one year ago
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    @Michele_Laino @hartnn

  2. Michele_Laino
    • one year ago
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    the experimental frequency to get a green marble is: 25/40= 5/8 so the requested number is: \[\Large \frac{5}{8} \cdot 400 = ...?\]

  3. horsegal244
    • one year ago
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    640?

  4. Michele_Laino
    • one year ago
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    hint: \[\Large \frac{5}{8} \cdot 400 = \frac{{5 \cdot 400}}{8} = ...?\]

  5. horsegal244
    • one year ago
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    \[\frac{ 2000 }{ 8 }\]= 25

  6. Michele_Laino
    • one year ago
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    more precisely it is 250

  7. horsegal244
    • one year ago
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    ok

  8. horsegal244
    • one year ago
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    Can u help me with 3 more?

  9. Michele_Laino
    • one year ago
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    yes!

  10. horsegal244
    • one year ago
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  11. Michele_Laino
    • one year ago
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    here the experimental probability, is given by the subsequent ration: favorable outcomes/total outcomes: \[\Large \frac{{272}}{{600}} = ...?\]

  12. Michele_Laino
    • one year ago
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    ratio*

  13. horsegal244
    • one year ago
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    2.205

  14. Michele_Laino
    • one year ago
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    whereas the theoretical probability is: favorable outcomes (= 3, since there are three odd numbers) / possible outcomes(=6, since there are six possible outcomes): \[\Large \frac{3}{6} = ...?\]

  15. horsegal244
    • one year ago
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    2?

  16. horsegal244
    • one year ago
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    ohhh 1/2 duhhhh

  17. Michele_Laino
    • one year ago
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    we have: 272/600=0.453 and 3/6=0.5 so what can you conclude?

  18. horsegal244
    • one year ago
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    soit is not likely

  19. Michele_Laino
    • one year ago
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    we can see that experimental probability is less than the relative frequency

  20. horsegal244
    • one year ago
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    ok Next one ill start a new page...

  21. Michele_Laino
    • one year ago
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    ok!

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