Teleport to random bricks in a specified group?

Hi all. Sorry if this explanation seems confusing, not really sure how to explain it.

I want to try to make a group of bricks that, when touched, randomly teleport to another. However, all of the random bricks need to be in the SAME group (Like an input output table, where one input has exactly one output but each OUTPUT is randomized.) If you need an example, look at a game called "Sewer rave" and look at how the door system works. Is this even possible?

Visual example (NOT CODE.)

Brick (Parent)
      /  \
Brick (or) Brick