Listed below are the sequence of events that occur during a hunt with some explanation about how a hunter can prepare to maximize their luck in each step.
The hunt is started
There area few ways a hunt can be started, most commonly is by the Hunter's Horn. A hunter can start an immediate hunt by sounding the horn themselves, if a friend is hunting in the same location and sounds their horn it will automatically sound the horn horn of any friend who is also ready to hunt. The second way a hunt can be started is by a random Trap Check. These trap checks happen at random throughout the day and on average a player will receive 24 of these random checks. A hunter must have their trap baited and also of been active within 24 hours in order to have a chance of receiving a trap check. Once a player leaves the game for 24 hours they will stop receiving trap checks
A mouse is encountered
Once a hunt is started a hunter will then encounter a specific breed of mouse. The most significant factor effecting what breed of mouse they encounter is the location they are hunting in. Secondly, the type of bait a hunter is using can have a small effect on what type of mouse they encounter. It is well known the scent of Brie and brie+ can draw the Burglar Mice in the area a little closer to a hunter's trap. Should you fail to attract the mouse you encountered your bait then has a chance to turn stale based on your trap's cheese effect. The time you purchased your bait has no effect on if your cheese turns stale.
The encountered mouse is attracted to the bait
Once a mouse comes around a hunters trap it is then up to the specific bait the hunter is using to attract that specific type of mouse. Carefully read the descriptions of the various bait in the game to give hints about how effective they are at attracting what types of mice in what areas of the game. It is important to make the distinction that bait has very little effect on the type of mouse you encounter and it has absolutely no effect on if you catch a mouse or not. The main job of a hunter's bait is to attract the mouse to their trap after it has been encountered. It is also worth noting that trap that have an accuracy boost will boost the attraction capabilities of the trap's bait in a positive way.
Your trap versus the mouse
Should a hunter successfully attract the type of mouse they encountered it is now up to the statistics of their trap to determine if they catch the mouse or not. A More powerful trap has a better change to trap a more powerful mouse although the probability to catch a mouse is never 100% so even a puny white mouse has a small chance to get away from the most powerful traps. Aside from power a trap's luck rating also provides a chance to catch a mouse from pure luck. It is not uncommon for lucky traps to catch mice that are more powerful than the trap. The hunter's title/level also plays a small role in their ability to catch a mouse. As players progress upwards through the hunter's titles their traps stats are boosted slightly providing an extra edge.
Weapons have not only have power, but also a specific power type. Some mice are weak to certain power types while others are resistant if not completely immune. A popular example is the Mousoleum where the vast majority of mice are weak to shadow damage and resistant to physical damage.
The outcome of the hunt
The outcome of the hunt is fairly straight forward. Should you catch the mouse you will be awarded points and gold based on the type of mouse you caught as well as its weight. Heavier mice are considered weaker than smaller, quicker mice and are therefore worth less points but more gold.
Should you fail to catch the mouse your adversary will always steel one piece of cheese from your trap. In some hunting locations it is also possible for mice to steal additional pieces of cheese as well as points or gold.