Patterns exist in random numbers in the same way that patterns exist in the decimal digits of pi or in the clouds.

The thing about them is that you can only spot them after they happen, and they have no predictive power.

You can look at the clouds and say "that one looks like a dog", but you can't go on to justifiably say "therefore tomorrow there will be a cloud that looks like a big mac". Maybe you'll say it anyway, and maybe you'll be right, but the dog cloud had nothing to do with it.

Maybe you'll see the dog cloud followed by the big mac cloud a few times, and you'll start to believe in the predictive power of the dog cloud, but you would be fooling yourself.