-(으)ㄹ 리가 없다 means "there is no way" or "it cannot be" - expressing disbelief.
Impossibility - 그럴 리가 없어요 (theres no way thats true)
Disbelief - Rejecting a possibility
Strong denial - Cannot logically be the case
See examples below for varied real-world usage.
리 means "reason" or "logic"
가 can be omitted: -(으)ㄹ 리 없다
Theres no way that person lied.
I put the keys in my bag, so there is no way they are missing.
There is no way that diligent student didn't do the homework.
It's rush hour now, so it's impossible that the roads aren't congested.
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