The result of every objective experiment is either a success or a failure. Repeated attempts under equally idealized conditions of probability, binary outcomes, and stochastic independence are known as Bernoulli experiments (or trials).

The fact is that a Bernoulli experiment is simply an idealized theoretical model and only by repetitions can its suitability assessable. Obviously it can be applied successfully for successive fair coins tossing with binary outcomes of head and tail. On the contrary, streetwise philosopher K. Marbe believed otherwise. Subjectively, Marbe’s theory could not be refuted. However, it is logically rejected because not enough objective experiments support it. Marbe’s argument is not the cause of hidden imperfection of physical coins. Its theoretical implication is that nature remembers and thus by remembering nature denies stochastic independence, looping all links of a Markov chain into a semblance of a key chain. A single truth of probability becomes infinite ones for determinism. If determinism prevails then there can only be one successful experiment. However, without a master key, there must be at least one key that can fit the lock.

Does an ultimate key master exist? Who can open all natural gates of knowledge by simply picking the correct key for the right lock, left lock, top lock, bottom lock, front lock, or back lock. For infinite number of keys and infinite number of locks, the act of picking the correct combination seems impossible. If infinite locks are represented by positive integers then choosing a number from 1 to infinity without replacements would eventually succeed. On the other hand, who can open the gates guarded by negative integers and irrational gate keepers, complex gate keepers, or hypercomplex gate keepers?