I don't immediately find it, but couple of years back there was a "meta-feature" which was the size of the MNIST image. I think that scored about 90'ish % accurate results on its own - without even looking at the image.
Only if your model is outputting a yes/no answer right? And that your definition of accuracy is "class with highest probability" (and not "N classes with highest prob")
If your dataset has more than 2 classes like MNIST, a super low accuracy only tells you to ignore the class the model guesses. It doesn't tell you which of the remaining classes is correct