 In the above example, event 1 will be observed 90% of the time if we are in state 1 while event 2 has a 10% probability of occurring in this state.In contrast, event 1 will only be observed 20% of the time if we are in state 2 and event 2 has an 80% chance of occurring.Given an arbitrary row-vector describing the state of the system (formula_23), the probability of observing event j is then