What is a strategy in getting the best husband ( a dice game with changing face values)

Question

A task of choosing the best husband can be modeled by the following dice game. Suppose you are allowed to throw a dice 5 times, and you want to get the biggest possible number with a given probability P of finishing with 1. You start with a normal dice, but in each new throw, a number on a previously shown face will be permanently replaced with 1. You can stop throwing the dice at any point, and accept a new-fallen number. What strategy will provide the best outcome?