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Math Help - Help with Sample Space

  1. #1
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    Exclamation Help with Sample Space

    A coin is flipped 4 times. Let A be the event that we record an equal number of HEADS and TAILS.
    A) Write down the event A by explicitly writing its elements between curly braces.
    B) Evaluate P(A)
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  2. #2
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    Re: Help with Sample Space

    Quote Originally Posted by BlueandGold View Post
    A coin is flipped 4 times. Let A be the event that we record an equal number of HEADS and TAILS.
    A) Write down the event A by explicitly writing its elements between curly braces.
    B) Evaluate P(A)
    Here is your outcome space:
    $\begin{array}{*{20}{c}}
    H&H&H&H \\
    H&H&H&T \\
    H&H&T&H \\
    H&H&T&T \\
    H&T&H&H \\
    H&T&H&T \\
    H&T&T&H \\
    H&T&T&T \\
    T&H&H&H \\
    T&H&H&T \\
    T&H&T&H \\
    T&H&T&T \\
    T&T&H&H \\
    T&T&H&T \\
    T&T&T&H \\
    T&T&T&T
    \end{array}$

    Now you tell us the answers.
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  3. #3
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    Re: Help with Sample Space

    Quote Originally Posted by Plato View Post
    Here is your outcome space:
    $\begin{array}{*{20}{c}}
    H&H&H&H \\
    H&H&H&T \\
    H&H&T&H \\
    H&H&T&T \\
    H&T&H&H \\
    H&T&H&T \\
    H&T&T&H \\
    H&T&T&T \\
    T&H&H&H \\
    T&H&H&T \\
    T&H&T&H \\
    T&H&T&T \\
    T&T&H&H \\
    T&T&H&T \\
    T&T&T&H \\
    T&T&T&T
    \end{array}$

    Now you tell us the answers.

    I got A: {HHTT, HTHT, HTTH, THHT, THTH, TTHH}
    B: 6/16 = 3/8
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  4. #4
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    Re: Help with Sample Space

    Quote Originally Posted by BlueandGold View Post
    I got A: {HHTT, HTHT, HTTH, THHT, THTH, TTHH}
    B: 6/16 = 3/8
    That is correct. Did you learn anything from that? If so, then what?
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  5. #5
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    Re: Help with Sample Space

    Quote Originally Posted by Plato View Post
    That is correct. Did you learn anything from that? If so, then what?
    I learned that I'm over-thinking these problems.
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