It means you say something randomly that came to mind. It doesn't have to have a reason.
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The word random means unordered, mixed-up or 'out of sequence'
Direct access means going straight to the record you want,and random access means pick data randomly and then find that data which you required.http://wiki.answers.com/Difference_between_direct_and_sequential_access#ixzz1685bfqda
The only way to minimize random error is to repeat the experiment more times to get a better average. This means your result is accurate but not percise
Most phrases can be understood by thinking about what each word means. Random means haphazard, without pattern. Pattern means a design of lines or shapes set in particular ways beside each other that give a distinct look or a well-recognized symbol. So a "non-random pattern" is something with a deliberate and easy to see pattern.
I'm not a mathematician, but as far as I know the word 'random' means there is no pattern to a sequence of occurrences. So, if you selected a series of numbers at random, you should not be able to find any mathematical pattern or relationship between them.