Ireland previously tied with Zimbabwe and upset Pakistan in a three-wicket win, and will progress from Group D to the second phase of one-day cricket's showpiece tournament along with hosts the West Indies.
At Kingston's Sabina Park, Pakistan piled up 349 before bowling out Zimbabwe for 99 to take the tie by 93 runs on the Duckworth-Lewis method.
A tearful exit by skipper Inzamam-ul-Haq was overshadowed by Imran Nazir's second career limited overs century.
Inzamam made a brief cameo of 37 off 35 balls, but the impressive Nazir plundered 14 fours and eight sixes in 160 from 121 balls.
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Last Sunday, Inzamam announced that this match would be his last one-dayer for Pakistan, and he would also give up the captaincy after a tournament overshadowed by the death of coach Bob Woolmer.
Adding to the Pakistanis' misery was the revelation on Wednesday that Jamaican police were treating Woolmer's death as suspicious.
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In the day's other game, Sri Lanka virtually guaranteed themselve