self doubt

Question

given the productions can it be converted to automata directly ?

A=aB|bA|b

B=aC|bB

C=aA|bC|a

If so how will you decide final state from the given productions ?

Comments

production will give

(b+b*ab*ab*ab*)*

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but mam is it possible to find out the final state when you try to draw a FA using this production without writing R.E.

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IS A FINAL STATE ??

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yes