"Just working it through, imagine there are 5 couples left.
In theory, the judges have 15 points to award between the 5 couples (5+4+3+2+1=15).
The public also have 15 points to award, in the same way.
So that's 50-50.
But if, say, the judges award (for the sake of simplicity), all 5 couples 40 marks, then each couple will get 5 judges points. This means the judges will have 25 points to hand out. But the public will still have only 15.
So 40 points will be handed out in total, of which the judges will award 25, that is 62.5%. Meaning the public's vote only counts for 37.5% (15 points out of the 40 awarded).
I think......"
The above was posted elsewhere but it's an interesting point.
Any statisticians out there - is this a flaw in the new system? Or have KPMG or whoever devised the new format assessed that this is such an unlikely scenario as not to worry about it?