It is not quite as simple as stated above.

Other refers to something specific. I need the two blue pegs. I have one of them and I want the other one. I want the blue peg, not a green, red or yellow one.

Another literally "an other". I have one peg and I need another peg. (it can be red, blue, green or yellow.) I do not care which peg.

I can make another plural by adding a number.  I need another two pegs. Again the colour is not important. Any colour pegs are fine.

The words another and other mean the same thing, except that another is used with a singular noun and other is used with uncountable and plural nouns:

another means 'one other' or 'a different one' or 'one more'

She’s going to the cinema with another friend.   [plural noun 'friend']

Do you have (any/some) other advice for me?    [uncountable 'advice']
She’s going to the cinema with other friends.     [plural'friends']

Wow . Great point 

Thanks u so much dear Graham