Find 
(the probability distribution of the system after two observations) for the given distribution vector 
and the given transition matrix 
.
Definitions:
Anglo-Americans
Individuals of English descent residing in the United States, often referring to their cultural, historical, or social ties to England.
Sports and Recreation
Activities that involve physical exertion and skill, often competitive in nature, intended for enjoyment, fitness, and social interaction.
Regimentation
The strict and uniform enforcement of rules to manage and control a group or organization effectively.
Urban Industrial Society
A society characterized by living in urban areas with economies based predominantly on manufacturing and other forms of industrial production.
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