Imtiaz Ahmed took 5 for 29 to make it ten wickets in the match as the visitors won by 43 runs before lunch on day three.
Orissa Cricket Association retained Natraj Behera as captain for the four-day elite group A match.
The axe fell on Das on the eve of the team's second encounter of the season against Punjab at Mohali.
West Indies vs India, 1st Test, Day 2
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