I've seen situations in which they said these phrases:
"[...] That could be dead or may not be" (Jim Carrey's phrase in a Series of Unfortunate events)
"(=if we had one, it could or it may not be expensive)" (a specific grammar book by Cambridge University).
My question is: why "may" is opposed to "could" here? Can't we use "It could be dead or could not be" or "It could or it could not be expensive"? Why/why not?