How do you make a cup or mug in mine craft?

Answer 1

You can't make cups or mugs in minecraft without using any mods. There are glass bottles used for making potions but these cannot be placed.

To make a glass bottle, use this pattern in the crafting table:

1 = glass block

- = empty

---

1-1

-1-

Answer 2

you can make a glass bottle out of 3 glass like this

GEG

EGE

E=Empty

G=Glass