Chinese Dilemma

Thinking about young atheist Nick Barrett's comment on his blog. He such an edifying godless boy. Always full of impeccable PC thoughts. Not all that bad. Eg how we should be concerned about the starving around the world, rather than for dramatic accidents like planes crashing and so on. But imagine this scenario: you are granted one million pounds. To get them, you must press a button. One million quid will show up on your normaly piffling bank account. Only, at the same time a Chinese person will drop dead somewhere in faraway China.
China - more than one billionpeople. A veritable anthill. None of whom you know. One ant less - what difference would it make, eh?
Young Nick would be able to do so much good with that million pounds. Hel many starving people, for example. And pressimg a button...it isn't like Raskolnikov, having to do the deed yourself. Messy. Awful. Risky. This is painless, clean. Easy.
Why not do it? What arguments would count against pressing that button, I wonder?