Jonny Bairstow struck a maiden one-day international hundred as England condemned West Indies to a seven-wicket defeat at Old Trafford on Tuesday that means the twice former champions can no longer gain direct entry to the 2019 World Cup.
West Indies, the 1975 and 1979 World Cup winners, had to take this five-match series 5-0 or 4-0 with a tie or no result if they were to avoid the indignity of a qualifying competition for the next edition in England in two years' time.
But a total of 9-204, in a series-opener reduced to 42 overs per side after a wet outfield delayed the start by two hours, never looked enough.
England finished on 3-210, winning with a mammoth 67 balls to spare.
West Indies, who failed to qualify for this year's Champions Trophy tournament in England, continued to struggle before Holder hit out.
The series continues at Trent Bridge on Thursday.