Are Children born crippled/diseased, uncared for, and dying prematurely proof that God does not exist?
If so,
1) What do children born healthy and well cared for prove?
2) What do babies aborted (many of whom might have led a normal healthy life, and some of whom might have contributed much to the society like many scientists, doctors, engineers ....) prove?
3) What do babies killed in wars (some of which are created for the sake of war) prove?
I will use the word indicates here instead of "proves," because "proof" requires a large body of evidence, therefore these few pieces of evidence don't qualify.
I would say that things indicate a random selection for life and death, not completely random mind you because a certain amount is determined by genetics, chemistry, and society, but it is somewhat random and chaotic nonetheless.