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In a large metropolitan area, commuters either drive alone (A), carpool (C), or take public…

In a large metropolitan area, commuters either drive alone (A), carpool (C), or take public transportation (T). A study showed that transportation changes according to the following matrix:

In a large metropolitan area, commuters either drive alone (A), carpool (C), or take public...

In the long run what fraction of commuters will use the three types of transportation?