a box contains $24$ tiles. each tile has certain properties: $\bullet$ each tile is made of wood or plastic. $\bullet$ each tile is red, yellow, or blue. $\bullet$ each tile is a triangle, square, pentagon, or circle. there is exactly one tile for each combination of properties. for example, there is one red circle that is made of wood. steve chooses one tile, and ellen chooses a different tile. what is the probability that the two chosen tiles differ with respect to all three properties?
