Create a new rule “Random Encounter”,

As a weekly action, whenever a Contestant changes their Location, they may make a comment in the GNDT of “Random Find” followed by a DICE20 roll. If the result of the roll is less than or equal to the the added luck of each Contestant in that location, the Contestant who made the roll has Found Something Strange. The next time that Contestant makes a Diary entry, they may include a description of what they found in that location. If they do, they may increase their Fame by 1 or their Luck by 2.