Random number generator based on a hash of the time from time import time

def baseRandom():
    return hash(str(time()))

def randFromZero(maximum):
    return baseRandom() % maximum

def randRange(minimum, maximum):
    return randFromZero(maximum - minimum) + minimum


I ask what's wrong because it seems so simple and stupid. This is something I just thought up one day and put together in 5 minutes, but it seems to generate even and unpredictable results. I've done a couple of simple tests like generating a lot of numbers and looking at the variance between the amount of times each number is generated, and using it to create a little grid which has tiles that are either black or white with equal probability, in which I saw no clear patterns. Hopefully someone who knows a thing or two about this can educate me.
It looks like you're relying on running this on a system where the granularity of the time() function is smaller than the amount of time it takes to execute baseRandom(), do what you want with the results, and come back to call baseRandom() again.  If not, you'll get more repeating numbers than you should.  You're also relying on the result of the hash() function to be sufficiently pseudorandom given the input you're feeding to it.

Detecting an obvious pattern depends on how you look for it.  I think Knuth gave an example of a RNG that looked OK when you plotted pairs of numbers on an x-y plane, but if you took three numbers in a row as x-y-z coordinates, and look at the resulting cube from the right direction, you can clearly see a finite number of planes where all the outcomes lie.  In other words, just because you tried a couple of things and didn't see a pattern doesn't mean a non-random pattern isn't there.

There are fifteen tests for randomness listed here, if you're interested: http://csrc.nist.gov/groups/ST/toolkit/rng/stats_tests.html