You're talking microcosm and macrocosm, some people believe if they can see it for what it truly is they can control it. But that is besides the point here, you said you choose to eat lunch like a coin chooses to land heads up. The coin is an inanimate object without the ability the evaluate and rationalise. With the coin it's all random whether it lands on heads or tails, the coin dosen't decide which to do. Unlike you, when you choose to eat lunch you also choose to what you eat for lunch. How you can compare yourself to a coin spinning on a table, I do not understand.
Firstly I would like to say that, similarly, I cannot comprehend how people cannot see the similarites between themselves and any other body when it comes down to matters of choice and probability. I would suggest that me and you come from very different mind sets which is perhaps why we cannot find any common ground so I will go over the essential parts of my belief in the hope of better communication.
If we assume that every action has a set of causes and any action if any event whilst any cause is merely the action of another set of causes, then we are effectively saying that, given a complete knowledge of a set of causes, we can predict an action before it happens with 100% certainty.
However, given our current intelligence and technology, it is not possible to analyse a complete set of causes so we come up with words such as probability to help us explain the chance of something happening. Now a coin is generally said to have a 50/50 chance of landing either side up. However, if we knew the set of causes and found out that given this set of causes the coin would land heads up, then we can safely say, with 100% accuracy, that the coin will land heads up, rendering probability effectively meaningless.
To believe in probability is to believe that under 2 indentical sets of causes, it would be possible for the same coin to land on opposing sides which is completely illogical. Therefore there is no such thing as chance or probability beyond that of a tool to express our lack of ability to know a complete set of causes.
Similar to a coin flip, a human "choice" has a set of causes. However, how can it be a choice if I can predict what you will do before you do it? How can it be a choice if there is 100% certainty of your action before your brain has even encountered or analysed the problem and decided on the course of action? How can it be a choice if your action was determinable from the beginning of time?