John Campbell smashed the winning six as West Indies needed only seven more overs to beat Bangladesh by seven wickets in the first Test on Sunday.
West Indies finished on 88 for three after resuming the fourth day on 49 for three in its second innings and needing 35 more runs to clinch the series opener.
Campbell accelerated his scoring rate on Sunday and finished the match with a six over long off against Najmul Hossain Shanto. He hit nine fours and one six in his 58 not out. Jermaine Blackwood at the other end was undefeated on 26 after the pair came to their team's rescue with a fourth-wicket partnership of 79.
AS IT HAPPENED: SCORECARD
Out-of-form Bangladesh had given the host a scare on Saturday, at one stage reducing the West Indies to 9 for three at the Sir Vivian Richards Stadium.
West Indies scored 265 in its first innings. Bangladesh had 103 and 245.
Bangladesh medium-pacer Khaled Ahmed, who took three wickets in 11 balls on day three, was unable to break through again. He finished with three 27 from eight overs.
The second and final Test starts on Friday.
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