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Hi there,
Predicting chances of getting a government medical colleges depends more on rank which further depends on the difficulty level of paper, number of students appeared and hence keeps fluctuating every year.
But going by previous year's data, yes you can secure a government MBBS seat but only if you apply through 85% state quota. In 2020 the cutoff marks for general category student through state quota was 586 and since cutoff for EWS is generally lower than general so you can definitely get a reputed government medical college at this marks.
You can refer to this article to know individual cutoff of different colleges in Bihar-
https://medicine.careers360.com/articles/neet-cutoff-bihar
You can use this link to know various other colleges too that you might have chance in-
https://medicine.careers360.com/neet-college-predictor?utm_source=qna&utm_medium=neet_cp
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