A box contains 24 tiles. Each tile has certain properties:
Each tile is made of wood or plastic.
Each tile is red, yellow, or blue.
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 both tiles are red?
There are 24 * 23 = 552 possible pairs of tiles that Steve and Ellen can choose.
Out of these, there are 4 * 4 = 16 tiles that are both red.
So, the probability that both tiles are red is 16/552 = 4/138.