A pond contains 37 fish. Four are caught, tagged, and released back into the pond. After the tagged fish have had a chance to mingle with the others, twelve fish are caught and released, one at a time. Assume that every fish in the pond is equally likely to be caught each time, regardless of which fish have been caught (and released) previously (this is not a realistic assumption for real fish in a real pond).The chance that among the fish caught in the second stage (after the tagging), at least three and at most nine were previously tagged is