Random shaped hole in 2D array map

Hi,
I have the map as 2D array
that have axis x and y.

Let say I take part of the map (Square)
Like:
Bottom left corner: x = 10, y=10
Top left corner: x = 10, y=90
Bottom right corner: x = 150, y=10
Top right corner: x = 150, y=90

Now I want cut "random shaped" hole on it like:


Where the black is 1
And white is 0

What is the best way to cut this kind of random hole?
I checked noise algorithms etc. but there was not an easy nice way to do this.

Any ide how to make this easy and essential way?