The correct option to fill the gap is "yours".
Explanation: The sentence is asking about someone's decision to go somewhere, and the word in the blank should be a possessive pronoun. "Yours" is the correct form of the possessive pronoun "your" to use in this context.
"Your's" and " your" are incorrect forms of the possessive pronoun. "Your's" is not a valid form of the word "your", and " your" is missing the apostrophe that indicates possession. "Yours'" is also incorrect because "yours" already indicates possession, and adding an apostrophe after "s" is redundant.