Is it down to luck? Not quite.
There are several strategies that can keep you alive a lot longer.
Aim for red ones. Be willing to cut through eggs to get there. Eggs only lose you two points.
Don't waste powers. Use the yellow powers on large groups. Save the black powers for an emergency.
Gold eggs earn most your points.
Using the double blue power on a large red group can keep you alive for a long time, as can turning a large group to red and then using the power.
Awesome game, anyway.