Possible issues with random number generators for calculator apps

[Namir]

I was reading "Thinking Fast and Slow" by 2002 Nobel prize winner Daniel Kahneman. In one of his chapters he talk about how researchers can be deceived by small samples. The author says that small samples don't necessarily mimic their large sample counterparts and can show the illusion of patterns.

This conclusion made me think about PRNGs for calculator apps where the number of random number generated is usually small. Might this mean that no matter how good the PRNG algorithm used is, the random numbers generated may depict a false pattern? In most cases, such patterns may have little impact on the calculator apps or games.

Your thoughts?

Namir