Uncertainty of multi-level systems of events

The article presents probabilistic uncertainty modeling of multi-level systems of events, mutually linked by transitive events. A method for multi-level systems with potentials to emerge new functional states is suggested and the application is illustrated by a two-level example of systems pertinent to a game with a die and a coin. The presented procedure provides analogy to more complex transitive systems operating in uncertain circumstances with a redistribution of capabilities and demands in case of cascades of failures.