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 the two chosen tiles have exactly two properties in common?
The answer is 6/23
Ellen can choose 1*2*3= 6 tiles that are different from steve.
There is a total of 23 different tiles because Steve already took one and 24-1=23.
so it is 6/23