Randomness

Does anyone know of a rigorous mathematical way to check randomness in online houses? I'd think using an interval of confidence (p value) analysis like the physicists do might do it.
What's the point of putting up with online houses possibly gaffing you?

Well, Knuth has a number of tests in volume 2 of his The Art of Computer Programming, but some definitions of "randomness" are better than others. For example, the first test is, make millions of trials, and see how the number of times each result comes up compares to the others. The problem is, if you're picking numbers from 1 to 5, the "random" sequence 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, ... passes the test.

Quote: APEppink

Does anyone know of a rigorous mathematical way to check randomness in online houses?

Only if you have access to the RNG implementation. Otherwise, you either have to trust that the regulators did their jobs or, if you're playing at an unregulated joint, uhh, that's on you.