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Math Help - Describe Sample Space

  1. #1
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    Describe Sample Space

    An experiment involves tossing a pair of dice.

    x = green dice outcome

    y = red dice outcome

    Describe Sample space.

    A. listing elements (x,y)

    x = 1,2,3,4,5,6

    y = 1,2,3,4,5,6

    B. rule method

    x \cup y = {x | ????}

    Is this on the right track?
    Last edited by Jason76; August 21st 2014 at 02:41 AM.
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  2. #2
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    Re: Describe Sample Space

    Quote Originally Posted by Jason76 View Post
    An experiment involves tossing a pair of dice.

    x = green dice outcome

    y = red dice outcome

    Describe Sample space.

    A. listing elements (x,y)

    x = 1,2,3,4,5,6

    y = 1,2,3,4,5,6

    B. rule method

    x \cup y = {x | ????}

    Is this on the right track?
    not really.

    An event here consists of the values of a pair of dice, i.e. an ordered pair (x,y).

    So your sample space, the set of all possible events, is all the possible ordered pairs.

    (1,1), (1,2) .. (1,6)
    (2,1), (2,2) .. (2,6)
    .
    .
    (6,1), (6,2) .. (6,6)

    or by rule

    $\{(x,y)\}: x,y \in \{1,2,3,4,5,6\}$
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  3. #3
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    Re: Describe Sample Space

    I think there is two ways to write the rule method. Another way was shown in the book of the form {x| something here} etc..
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    Re: Describe Sample Space

    Quote Originally Posted by Jason76 View Post
    I think there is two ways to write the rule method. Another way was shown in the book of the form {x| something here} etc..
    ok then

    $\{(x,y)| x,y \in \{1,2,3,4,5,6\} \}$
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