Though, although, albeit introduce subordinate clauses stating something that is or may be true in spite of what is asserted in the main clause.
Though, the most widely used of these words, can introduce a clause that states an established fact or one that offers only a supposition, either a hypothesis or an admission of possibility or probability.
Although , which is freely interchangeable with though , is often preferred when it introduces an assertion of fact and when the subordinate clause precedes the main clause.
Albeit is especially appropriate when the idea of admitting something that seems a contradiction is stressed.