Probability Outcomes Plot with JULIA for Fair Coin Tossing

General Usage
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9

One possibility is to use Julia to generate the TikZ code:

using TikzPictures

function branch(result, n, i=1, prev=[])
    sofar = [prev; result]
    indent = "  "^i
    distance = 5 * 2^(n-i)
    if i == n
        fullbranch = join(sofar, ",")
        prob = "\$p = \\frac{1}{$(2^n)}\$"
        return  """
                $(indent)child [sibling distance=$(distance)ex]
                $(indent)  { node [anchor=west] { $result \$\\cdots\$ ($fullbranch)\\; $prob } }"""
    else
        return  """
                $(indent)child [sibling distance=$(distance)ex] { node {$result}
                $(branch(:T, n, i+1, sofar))
                $(branch(:H, n, i+1, sofar))
                $(indent)}"""
    end
end

function tree(n)
    return """
           \\node {}
           $(branch(:T, n))
           $(branch(:H, n));"""
end

TikzPicture(options="grow=right", tree(3))

test

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