The Hamilton captain then brought down Stephen Elliott just outside the area on 10 minutes.
Hibs improved immediately after the break but fell further behind to Stephen Elliott's close-range finish after 67 minutes.
Skacel added to his tally in the second half, either side of goals from Stephen Elliott and Arvydas Novikovas.
At the other end, Stephen Elliott's effort from Rudi Skacel's cross was too high before Randolph was called into action.
The winger was almost tripped but stayed on his feet to get a pass away to Stephen Elliott, who hooked his shot wide from a promising position.
Striker Neil Mellor leads a host of players put on the transfer-list along with Eddie Nolan, Stephen Elliott, Neill Collins, Neal Trotman, Michael Hart, Richard Chaplow and Darren Carter.
The home team might have forced their way back into the game minutes after the restart but an unmarked Stephen Elliott could not control a driven low cross from Jones and the ball flew wide.
And there was also a change in direction on the pitch, with the Portuguese making five changes - Black, Jamie Hamill, Stephen Elliott, Mehdi Taouil and Scott Robinson all coming into the starting line-up after the 0-0 draw with Aberdeen.
Formerly backing Elliott Smith, then Stephen Malkmus and The Jicks, Moen currently serves as drummer for Portland, Oregon's The Decemberists.
City also had chances with Stephen Pearson, Martyn Woolford, Marvin Elliott and Albert Adomah going close.
Deputy chairperson Stephen Farry advised the ministers that Mr Elliott was at a funeral.
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