Random strobe effect should override chase

Hello there,
I have a little problem while using random strobes in combination with chases. I created my random strobes by using the effect engine for intensity as well as the grouping tool. I recorded them as an override button to temporary activate it and by releasing the button the strobe deactivates too. On the other side I created a chase by recording two cues in it and set it to gloabal rate. My problem is when I have the Chase activated and I want the random strobe overriding it temporairly you can see the chase through the strobe. So the strobe does not completely overrides the chase by all intensity values (from 0-100).
Does anyone have an idea how i could solve the problem, so that the chase ist completly overridden?

Yours Freddie