is the complement of "not taking any class" either

a) taking atleast 1 class
b ) taking all 3 classes

This post was edited by Regargar on Oct 22 2017 10:13am

Complement of none is all. So if there are 3 total, the answer is 3.

compliment of (not taking any class) would be "taking any class" which would mean "atleast one class" right?

im talking from a probability stand point

com·ple·ment
noun
ˈkämpləmənt/Submit
1.
a thing that completes or brings to perfection.
"the libretto proved a perfect complement to the music"
synonyms: accompaniment, companion, addition, supplement, accessory, trimming
"the perfect complement to the food"
2.
a number or quantity of something required to make a group complete.
"at the moment we have a full complement of staff"
synonyms: amount, total, contingent, capacity, allowance, quota
"a full complement of lifeboats"

The answer you seek, adhering to the literal translation of the definition, would be ALL.

The complement isn't really a probabilistic definition. It's used to define the remainder from a subset in regards to the universal set in set theory. It's used in Probability because the outcome space is usually defined as a set with countably many outcomes.

Interesting conundrum - Nothing vs Something but not all, or Nothing vs Everything

Anyway, for this particular problem I would agree with you and disagree with the others: Taking at least 1 class would be the most correct.

From this point of view, the complement is : "taking at least 1 class" .

https://en.wikipedia.org/wiki/Complement_(set_theory)

what's the complement of something?
if the complement of nothing is everything and the complement of everything is nothing, can the complement of something be nothing? or is the complement of something, just another something?

This post was edited by Arcolithe on Nov 30 2017 12:31pm