Suppose I have 16 squares arranged in a 4x4 square. Also suppose that each 16 has one red side we'll refer to as the face. Suppose these these blocks can be rotated such that the red side is facing another block (note the red sides can only face another block ie the corner blocks only have two possibilities for their red side to face and therefore can only be positioned in one of those two directions). Suppose each block is rotated at random (independent of one another).

(1) what is the probability that a corner block doesn't have any of its neighbour's red sides facing towards it?

(2) what is the probability that one of the blocks in a side position (but not a corner position) doesn't have any of its neighbours red sides facing towards it?

(3) what is the expected number of blocks with no other blocks' red sides facing towards them