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Statistics - math

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An urn contains 5 red balls and 10 white balls. 6 balls are randomly drawn and not replaced. What is the probability that 3 or fewer balls drawn are red?

  • Statistics - math -

    could be 3 red, 3 white
    could be 2 red, 4 white
    could be 1 red, 5 white
    could be all white

    prob of those taken in order from top to bottom
    = C(6,3) (5/15)(4/14)(3/13)(10/12)(9/11)(8/10)
    + C(6,2) (5/15)(4/14)(10/13)(9/12)(8/11)(7/10)
    + C(6,1) (5/15)(10/14)(9/13)(8/12)(7/11)(6/10)
    + C(6,0) (10/15)(9/14)(8/13)(7/12)(6/11)(5/10)

    = .... you do the button pushing

    Can you see the pattern ?

  • Statistics - math -

    The answer is supposed to be 0.04 + 0.25 + 0.42 + 0.24 = 0.95

    However, when I do the math above, I get 0.01 + 0.03 + 0.04 + 0.04 = 0.12.

    Where am I making the error in calculating this?

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