A cackle is a harsh, mean sounding laugh, often quite loud. I do not think any of the descriptions fit. Certainly not (a) (which is the one left over).
Yes, I agree.
A giggle might be interpreted as “high-pitched” but not shrill. The annoyance factor suggests it’s cackle, which does not really fit anywhere else.
You don’t need to keep the mouth closed to giggle, but it’s the best fit.
Yup. A giggle and a chuckle are almost the same, except that the giggle is more childish and can go on for longer. Neither chuckle nor giggle are necessarily private. Guffaw is the only one with a really good definition there.
Agreed with the majority above, but I had to think for a second about “giggle” and “chuckle” and trying to match them to “laugh quietly to oneself” and “to give a small laugh without opening the lips.” I thought they could go pretty much either way, but then I thought about how I most often encountered the word “chuckle” and it generally was in the context of laughing quietly to oneself.
I didn’t consider giggling as being shrill, so “d” was never in the running for me for that one, but now that I think about it, I suppose an argument can be made for that. Typically, though, I think of a giggle as a quiet “tee-hee” type laugh. And the best fits were “a” and “c.”
As far as I’m concerned, a ‘cackle’ is an evil laugh, something stereotypically associated with (female) witches and always done at the misfortune of others. Saying someone ‘cackled’ is never a compliment. The evil aspect of the cackle is more descriptive than everything else about it, and a good definition should mention that.