Final answer:
The sentence in question is a compound sentence because it consists of two independent clauses joined by the coordinating conjunction 'but'.
Step-by-step explanation:
The sentence 'I want to go to the game, but I don't have a ticket' is a compound sentence.
This is because it contains two independent clauses, 'I want to go to the game' and 'I don't have a ticket', which are joined by the coordinating conjunction 'but'. A simple sentence would only have one independent clause.
An example of creating a compound sentence is using a coordinating conjunction like 'but' as part of the mnemonic device FANBOYS (for, and, nor, but, or, yet, so) to join two main clauses that are equally important to the meaning of the sentence.