Independent Will and Choice

When an independent will makes a choice, it will be the most preferable choice from that independent will's perspective.

If one knows both the choice and the equation leading to the choice with certainty, and finds that the choice made was not the most preferable, then they are not interacting with an independent will.

There is more to this. I might fill it in later.

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Upon consideration, I feel this claim is more beneficial if considered than explained, but I did want to write of one interesting aspect: Random.

If "random" is chosen, if available, then it is because random is the most preferable choice. However, choosing random over, let's say, two set options (like flipping a coin to go left or right) will inevitably default to a less preferable outcome than the choice originally made of picking random. However, if the only options originally were left and right, with making a random choice not being an option, and then someone procures a coin, at that point having the option to choose "random" improves the overall scenario. This is because if one would choose right, let's say, if "random" was not an option, but would choose "random" if it is an option and then gets right, then "random" and right must be a more preferable choice than right alone. 

Would "random" and left be more preferable than choosing right without the choice of "random," if the original decision, when presented with left or right were for the decider to determine a way to create an option of "random?" It would follow that if right were an option, and creating "random" were the choice made, then that would be the most preferable option to the independent will making that choice (SPOILER: based on their information and definition of preference at the juncture of making the choice).