Here are the steps to re-arrange the surfaces by slipperiness:
1. Ice
2. Wet Mud
3. Wet Grass
4. Thick Carpet
5. Wet concrete
6. Dry concrete
2. a. An ice skater performing a routine wants as little friction as possible.
b. A driver driving a car on a wet road wants as much friction as possible.
c. A mountain biker riding down a steep muddy hill wants as little friction as possible.