An induction range will be the safest as the elements ("burners") emit no heat and shut off if no no cooking pot is in place. The knobs on LG induction ranges (for example) must be pushed in before they can be turned while ranges such as the Frigidaire FGIH3047VFhave digital controls which cannot be bumped. Of course, moving controls to the rear like on this Frigidaire GCRI3058AF would prevent any inadvertent contact but there do not appear to be any gas or induction ranges with rear knob controls, only radiant ranges such as this GE JBS86SPSS.

I think I'd agree with @wdccruise. Induction would be safest.

Induction is the safest. I have an LG induction with knobs that need to be pushed in to be turned, and that actually happened while my range hood was being installed......However because the induction "burners" don't work unless there's a pan on the stove, it never got hot and no handyman was harmed, LOL.