The East Belfast men started brightly, with Daniel Burns turning on the edge of the area and curling a shot past the upright.
Forward Christopher Watts then had a chance as he got on the end of David McMaster’s corner-kick, however he headed wide of the mark.
Towards the end of the first half, a Reece Neale free-kick found Caolan Loughran whose header was kept out by Ryan Nimick on the line.
From the resulting corner, a shot from Loughran was cleared on the goal-line with the ‘Gers players protesting that it had indeed crossed the mark however referee Niall Gallagher waved away the claims, leaving it all square at the break.
On the 58th minute, loan signing Ryan Strain replaced Stewart Nixon as Rangers pushed to make the breakthrough.
Then, in a carbon copy of the chance from the first half, a Neale corner-kick found Loughran who again saw his header kept out on the line.
With 15 minutes remaining, Lukasz Adamczyk replaced Michael Smith in a further effort to break the deadlock.
Soon after, a second bookable offence on the behalf of TJ Murray saw the midfielder given his marching orders by referee Gallagher.
The East Antrim side made their final substitution with ten minutes remaining, as Caolin Coyle took the place of Kyle McCauley.
However, it was ten-man Dundela who nearly found the winning goal at the death only to be denied by an unbelievable diving save from Hogg to keep his clean sheet and ensure his side left with a point.
Carrick Rangers: Hogg; Rodgers, Surgenor, Loughran; McCauley (Coyle, 79), McNeill, Kelly, Neale; Anderson; Nixon (Strain, 58), Smith (Adamczyk, 73).
Unused substitutes: McDermott, Gage.