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Thread: Sigma-algebra exercise.

  1. #1
    Junior Member
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    Exclamation Sigma-algebra exercise.

    Hello

    We have the following sample space:$\displaystyle \Omega = \left\{{1,2,3}\right\}$

    Is the following event of $\displaystyle \Omega$ a sigma-algebra?

    $\displaystyle
    A = \left\{{\left\{{\emptyset}\right\},\left\{{1,2,3}\ right\},\left\{{1}\right\},\left\{{2}\right\},\lef t\{{1,3}\right\},\left\{{2,3}\right\}}\right\}
    $

    I think the union property is not satisfied. Right?

    Thanks
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  2. #2
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    Please do not post twice. EDIT the OP.
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