This happens to me at least once every game... I noticed several occasions when it happened:
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when you stand too much - I come to the jungle, stand next to the golems, aim my face at them and then wait around 60 seconds for them to spawn. When they do, I hit Q and it casts away from them, so I don't hit anything....
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used **ultimate **- today I used my ultimate, ran down the middle lane, charged into enemy laner (so ofc I was facing him) and then hit Q and was like "wtf?". My Sion cast his Q in the opposite direction, right where he went from.
It might have happened on different occasions but can't recall now. But it does happen, and it does happen a lot, and nearly always has terrible consequences + I look like a total noob for throwing it the wrong way (you can't explain this to an average flaming LOL player)