Thank you!

'other' can mean "different" or "alternative". "Is there some other way of solving the problem?" "We need to consider other people as well as ourselves." "The Other" can mean a group of humans who are feared or disliked by a larger host community but you usually only hear that use from people talking politics or sociology. 'another' usually means "one more of the same" as in "Do you want another chocolate" but it can also mean alternative as in "Is there another way of solving the problem".

Basically the difference has to do with number! For plural nouns use OTHER and for singular nouns use ANOTHER! Hope this helps you! :)