〜はずがない
there's no way that, can't possibly
Plain form + はずがない (な-adj + な · Noun + の)
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はずがない turns はず, "should be", into a firm denial: 彼がそんなことを言うはずがない, "there's no way he'd say something like that". From what they know, the speaker is sure it can't be true.
It's much stronger than はずじゃない, "it's not supposed to". And it differs from ないはずだ: 来ないはずだ says "they're not expected to come", while 来るはずがない says "there's no way they're coming".
Before it, nouns take の and な-adjectives keep な: 本物のはずがない, "it can't be the real thing"; 簡単なはずがない, "it can't be easy".
In conversation, わけがない means much the same, and in casual speech the が often drops: そんなはずない!
Examples
あの人がそんなことを言うはずがない。
There's no way that person would say something like that.
鍵はかけた。開いているはずがない。
I locked it. There's no way it's open.
こんなに安い物が本物のはずがありません。
Something this cheap can't possibly be genuine.
毎日練習しているから、下手なはずがない。
They practise every day, so there's no way they're bad at it.
彼女が約束を忘れるはずがありません。
There's no way she'd forget a promise.