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Math Help - Sample spaces

  1. #1
    Newbie
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    Sample spaces

    Hi all,

    The question is as follows:

    An experiment consists of rolling a die until a 6 is obtained.
    a) Find the sample space if we are interested in all possibilities.

    So For this i would assume that the answer is S=(1,2,3,....) basically you can sit there all day and not get a 6. But the book says:

    S= 6,
    6, 26, 36, 46,56
    116, 126, 136, 146, 156....)

    Can someone please explain the meaning of this?

    Thanks all!!
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  2. #2
    MHF Contributor matheagle's Avatar
    Joined
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    5
    This is a geometric random variable.
    (Look that up.)
    And the sample space consists of a string of integers (from 1,2,3,4,5,6)
    of any length that has a 6 at the end and NO 6's prior to that.
    YOU repeated 6 twice, you mean 6,16,26,36,46,56, 116....................................
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