Crashing on takeoff... how odd

I remember a recent discussion with a pilot mate where I was mentioning
how illogical a crash-shortly-after-takeoff is, given that beyond V1
takeoff can safely be continued even with just one good engine. I'd
even told him that if I saw an aircraft airborne following takeoff, I'd
presume it safe.

Days after that tete-a-tete, a Fokker went down in Pakistan shortly
after taking off. And today the Bombardier at Kentucky.

Doesn't add up, does it? After all, if the engines are good and there's
no bomb going off, it should be pretty hard to crash an aircraft!

Ramapriya