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...Markov chains think about it if we know the probability that child of a lower class parent becomes middle or upper and similar information for what is grandchild great using will learn answers to such questions stochastic process mathematical model evolves over time in probabilistic manner this section study special kind called chain where outcome an experiment depends only on previous other words next state system present not preceding states applications medicine are quite common have become standard tool med ical decision making named after russian mathematician who started theory processes transition matrix sociology convenient classify people by income as sociologists found strongest determinant individual s parents example said be then following proba bilities change from one generation might apply table shows there any offspring bility current symbol p used i ij j represents person above with actual data see glass d v r hall social mobility britain intergenerational changes stat...