A Scottish Championship club is guaranteed a place in the Scottish Cup final after Hibernian and Falkirk were drawn together in the semi-final.
The second semi-final will see Celtic or Dundee United play Inverness Caledonian Thistle or Raith Rovers.
Celtic came from behind to draw 1-1 in a heated quarter-final match at Tannadice Park, while Inverness's match against Raith Rovers was postponed due to a waterlogged pitch.
Hibernian eased past Scottish League Two strugglers Berwick Rangers, and a Craig Sibbald goal saw Falkirk defeat Queen of the South 1-0.