If you are using different search methods to find a key within a certain range, the probability distribution of the outcome may change based on the efficiency and characteristics of each search method. In practice, using multiple search methods may increase the chances of finding the key, but it doesn't change the fundamental concepts of probability theory.

This is more like poker game here . In poker, players make decisions based on their assessment of the probabilities of different outcomes. They consider factors like the cards they hold, the community cards on the table, and the potential actions of their opponents.

In any case, it is a gamble if you want to invest a large amount of resources to solve the puzzle.