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anonymous

  • one year ago

A box has 60 balls, of which 26 are red, 16 are blue, and 18 are yellow. Balls are extracted at random then returned to the box. What is the probability that after performing this test three times exactly two are red and one is yellow?

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  1. welshfella
    • one year ago
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    a tree diagram would help with this one

  2. anonymous
    • one year ago
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    ok

  3. mathmath333
    • one year ago
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    is answer \(\dfrac{169}{1125}\)

  4. anonymous
    • one year ago
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    i dont how u got that answer im just thinking about the tree @welshfella said

  5. mathmath333
    • one year ago
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    i mean is the answer already given in book

  6. welshfella
    • one year ago
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    its hard to draw a tree diagram with 3 draws!!! lol

  7. anonymous
    • one year ago
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    perhaps u can attaches as a image file lol

  8. welshfella
    • one year ago
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    possible scenarios are R R Y R Y R Y R R probability of each of these is 26/60 * 26/60 * 18 / 60 work this out then multiply it by 3

  9. anonymous
    • one year ago
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    121168/180

  10. welshfella
    • one year ago
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    you have made a mistake somewhere

  11. anonymous
    • one year ago
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    i see

  12. anonymous
    • one year ago
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    12168/216000

  13. anonymous
    • one year ago
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    169/3000

  14. welshfella
    • one year ago
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    26/60 * 26/60 * 18 / 60 = 13/30 * 13/30 * 3/10 = 507 / 9000

  15. welshfella
    • one year ago
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    = 169/1000 yes

  16. welshfella
    • one year ago
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    now you need to multiply that by 3 because of the 3 different arrangements of the balls)

  17. anonymous
    • one year ago
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    169/1000 or 169/3000?

  18. welshfella
    • one year ago
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    sorry its |dw:1444498605068:dw|

  19. anonymous
    • one year ago
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    507/3000

  20. welshfella
    • one year ago
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    169/3000 was correct for each of th 3 scenarios - now you need to multiply that by 3

  21. welshfella
    • one year ago
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    507/3000 is correct but that simplifies to 169/1000

  22. anonymous
    • one year ago
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    mistake sorry 169/1000, forget to cancelled out the 3

  23. welshfella
    • one year ago
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    yea that is it

  24. anonymous
    • one year ago
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    that the final answer ?

  25. welshfella
    • one year ago
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    yes

  26. anonymous
    • one year ago
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    ok thank you so much for the help

  27. welshfella
    • one year ago
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    yw

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