Random anecdote: mining Umbral Rocks, having six hits at 12% HQ chance, 95% success rate, I got five HQ in a row (well, six, but the sixth was free since I hit five times). Next time I went? 32% chance, 95% success rate, I got four NQ and had two misses. Random is random.

Also, I did a long-term analysis on my pre-2.3 melds for all eight crafter classes. I had streaks of bad luck, and streaks of good luck. I noticed the bad luck much more than the good luck, and thought I spent way more than the expected value on my melds due to numerous failures. Actual result, looking at the final numbers (actual money spent vs expected value of money spent), I spent significantly (10%) less than I should have due to good luck outweighing the bad. Did I notice the good luck? Nope. That's the bias we're talking about here. Succeed at a meld first try with an 8% chance to succeed? Barely registers as abnormal. Fail 10 times in a row with a 45% chance to succeed? Very noticeable.