For example when using a mixer to make soup, the more you randomly shuffle all the ingredients together the more you get a nice mix of all the ingredients, instead of, for example, the parts of the broccoli on the left part of the pan and the parts of the carrot on the right side of the pan at some random moment you measure
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If you keep looking at any section of the mix (say, a certain side of the pan), mixing consists of two parts: stuff randomly coming out of this location and stuff randomly coming into this location.
Stuff randomly coming out of the location doesn’t really change the proportion: if there was twice more broccoli than carrots in a certain place, on average the mixer will “pick” twice more broccoli than carrots to move away and still twice more broccoli than carrots will remain here.
Stuff coming into this location moves the proportion towards an average of what was here and what was where the stuff came from. If we put stuff from a broccoli-heavy place to a carrot-heavy place, there will be a little more broccoli in the latter now.
So, it’s easy for the parts to move towards average and it happens naturally, but it’s almost impossible for the parts to move away from average, there’s no mechanism for that. So, the entire thing just averages out.
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