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    Suppose we have a random number generator which outputs integers between 1 and 100 inclusive \left( \text{ such that } \mathbb{P}(\{1\})=\mathbb{P}(\{2  \})=\mathbb{P}(\{100\})=1/100 \right).

    Let A be the event 'A multiple of 3 is generated.' How would I write that event?

    Would it be  A=\{3,6,9,...,93,96,99\} or  A=\{\{3\},\{6\},\{9\},...\{93\},  \{96\},\{99\} \}?
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    (Original post by Desmos)
    Suppose we have a random number generator which outputs integers between 1 and 100 inclusive (such that \mathbb{P} ({1})=\mathbb{P} ({2})=\mathbb{P} ({100})=1/100).

    Let A be the event 'A multiple of 3 is generated.' How would I write that event?

    Would it be  A={{3,6,9,...,93,96,99}} or  A={{{3},{6},{9},...{93},{96},{99  }}}?

    (The sets should have curly braces around them but it's not showing up)
    The set would just be all multiples of 3 up to 100 as you've written.
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    (Original post by Desmos)
    Suppose we have a random number generator which outputs integers between 1 and 100 inclusive (such that \mathbb{P} (\text{{}1\text{}})=\mathbb{P} ({2})=\mathbb{P} ({100})=1/100).

    Let A be the event 'A multiple of 3 is generated.' How would I write that event?

    Would it be  A=\text{{}3,6,9,...,93,96,99\tex  t{}} or  A=\text{{}\text{{}3\text{}},{6},  {9},...{93},{96},{99}}}?

    (The sets should have curly braces around them but it's not showing up)
    The first one,  A=\{3,6,9,...,93,96,99\}

    The event A is a subset of your sample space.
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    (Original post by Desmos)
    Suppose we have a random number generator which outputs integers between 1 and 100 inclusive (such that \mathbb{P}({1})=\mathbb{P}({2})=  \mathbb{P}({100})=1/100).

    Let A be the event 'A multiple of 3 is generated.' How would I write that event?

    Would it be  A={3,6,9,...,93,96,99} or  A={{3}},{6},{9},...{93},{96},{99  }}}?

    (The sets should have curly braces around them but it's not showing up)
    The first one.
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    Thanks all, I get it now.

    NotNotBatman, ghostwalker, B_9710
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    (Original post by ghostwalker)
    The first one,  A=\{3,6,9,...,93,96,99\}

    The event A is a subset of your sample space.
    Just another quick question: Is the way I wrote the probabilities correct? (It's different in the main post.)
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    (Original post by Desmos)
    Just another quick question: Is the way I wrote the probabilities correct? (It's different in the main post.)
    Yes.

    If X={4}, for example, then P(X)=P({4})=1/100
 
 
 
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