The tourists were dismissed for 302, trailing Victoria's massive first innings of 571 by 269, when both captains agreed to end the match on Sunday.
Officials from both sides then agreed to play a Twenty-20 match to entertain the crowd instead of going on with the first-class game in which a result would not have been possible.
Captain Shivnarine Chanderpaul (59) and Marlon Samuels (50) were the only West Indies batsmen to make half-centuries.
But the tourists' tail-enders showed a little more application after the humiliation of the 379-run first Test defeat in Brisbane last week.
The Windies were content to bat for time. Chanderpaul's innings occupied more than four hours and came from 177 balls with just three fours.
All-rounder Dwayne Smith improved his chances of playing in the second Test starting in Hobart on Thursday, with a return of 3-50 with the ball and 40 with the bat.
Left-arm paceman Allan Wise (3-47) was the Victorians' best bowler, with Mick Lewis (2-57) and Cameron White (2-78) each taking a brace.