At stumps, Australia was 59-2, with Cameron Green on six and Usman Khawaja not out at thirty.
Despite having their two most important batsmen, Steve Smith and Marnus Labuschagne, back in the pavilion, Australia was only 129 runs behind.
On a chilly and cloudy morning, Australian captain Pat Cummins had won the toss and chosen to send the West Indies in to bat. This was a wise move as the visitors were reduced to 133-9.
However, Joseph, who was only participating in his sixth first-class match, contributed a respectable 36 off just 41 balls to the score.
The 24-year-old, who replaced Smith as the first change and had Smith caught at third slip with his first ball in Test cricket, was far from finished. Since replacing the now-retired David Warner at the top of the order, Smith had never played at that position before.
After Labuschagne was removed by Gudakesh Motie at deep fine leg on the hook, Joseph continued his unbeaten run, leaving Australia at 45-2.
If Khawaja hadn’t been dropped by wicketkeeper Josh Da Silva after he should have taken a catch, things might have turned out even better for the Windies.
Earlier, Australia destroyed the West Indies batting order with Josh Hazlewood taking 4-44, including his 250th Test wicket, and Cummins 4-41.