Fragments can kill if they hit, and if they are fast enough and heavy enough.
The probability of that for a bomb depends upon the size of the fragment and the range. If the fragment is very small, it will run out of kinetic energy before it gets too far from the bomb. If the fragment is large, then for a given size of bomb, there will be fewer fragments than with smaller fragments.
A hand grenade can kill out to 60yards. With 36? fragments in one grenade, you have to be pretty unlucky to get hit at 60yards.
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