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Math Help - Flipping coins

  1. #1
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    Flipping coins

    I'm trying to write out the following Bernoulli Space events in terms of E_n

    \Omega = \{ \omega = \omega_1 \omega_2 \omega_3 \ldots : \omega_n = 1,0 \}

    (i) exactly 2 heads are obtained.

    E_x=\{ \omega \in \Omega : \omega_x=1 \}

    E_y=\{ \omega \in \Omega : \omega_y=1 \}

    E_z= \{\omega \in \Omega : \omega_z=0 \}

    then:

    \left( \bigcap_{z=1}^{\infty}E_z \right) \setminus (E_x \cap E_y )


    (ii) tails-heads-tails never occurs.

    E_n=\{ \omega \in \Omega : \omega_n \omega_{n+1} \omega_{n+2} \ne 010 \}

    then:

    \bigcap_{n=1}^{\infty}E_n

    Look good?
    Last edited by MilesManners; September 23rd 2011 at 09:34 AM.
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  2. #2
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    Re: Flipping coins

    or for the first one would this be correct?

    \left( \bigcap_{z=1}^{\infty}E_z \right) \cap E_x \cap E_y
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