In certain games, random selection is the optimal strategy.  See: [Matching Pennies][1]

Strategy is essentially a plan of action utilized to achieve a goal. 

- If random choice can be a strategy, it seems that it must be a form of logic, even if the nature of the stochastic process is counter to all forms of formal logic.

This seems paradoxical. 


  [1]: https://en.wikipedia.org/wiki/Matching_pennies