An 111-run victory gave them a 1-0 series lead as Pakistan look to move above their opponents in the ODI rankings, with a World Cup qualification spot very much on the minds of both teams.
Pakistan need to win the series 3-0 to move into eighth in the rankings which will determine the automatic full member slots at the next World Cup.
They gave themselves a real chance of doing just that as 21-year-old Babar first combined with Sharjeel Khan after under-fire captain Azhar Ali was dismissed for a diamond duck, nicking behind to Denesh Ramdin off Shannon Gabriel.