〜はずがない / 〜はずありません
Cannot be / no way 〜はずがない
Meaning
Strong denial of possibility — "there's no way ~ / it cannot be that ~ / impossible". The negative of はずだ, but stronger.
Formation
[plain form] + はずがない (普通形 + はずがない)
Notes
Stronger than 〜ないかもしれない ("might not"). Expresses the speaker's firm conviction that something is impossible: 彼が嘘をつくはずがない ("there's no way he'd lie").
Examples
彼（かれ）が嘘（うそ）をつくはずがありません。
There is no way he would lie.
Breakdown
こんな簡単（かんたん）な問題（もんだい）が分（わ）からないはずがない。
There's no way [you] wouldn't understand such an easy problem.
Breakdown
彼（かれ）はもう着（つ）いたはずです。来（こ）ないはずがありません。
He should have arrived. There's no way he wouldn't come.
Breakdown
あの人（ひと）は日本人（にほんじん）なはずがない。
There's no way that person is Japanese.
Breakdown
こんな所（ところ）に財布（さいふ）があるはずがない。
There's no way my wallet would be in a place like this.
Breakdown
⚠️ Often confused with
〜そうだ (伝聞)
I heard that 〜そうだ (hearsay)
Hearsay — "I heard that ~ / they say that ~". Reports information obtained from another so...
〜そうだ (様態) / 〜そうに / 〜そうな
Looks like 〜そうだ (conjecture)
Visual conjecture based on appearance — "looks like ~ / seems about to ~". Based on what y...
〜らしい
Apparently / seems 〜らしい
Conjecture based on some evidence or hearsay — "apparently ~ / I hear that ~ / it seems ~"...
〜みたいだ / 〜みたいな / 〜みたいに
Looks like / seems 〜みたいだ
Conjecture based on appearance or impression — "it looks like ~ / it seems ~". More casual...
〜ようだ / 〜ような / 〜ように
Appears / seems 〜ようだ
Conjecture or resemblance — "it appears that ~ / it seems ~ / like ~". More formal than み...
〜かもしれない
Might / perhaps 〜かもしれない
Expresses possibility — "might / perhaps / may". Indicates something is possible but not c...
〜はずだ / 〜はずです
Should be 〜はずだ (expectation)
A strong expectation based on logic or evidence — "should be ~ / ought to ~ / is supposed...
〜に違いない
Must be 〜に違いない
A confident inference — "must be ~", "I am sure ~".
〜おそれがある
There is a risk that 〜おそれがある
"There is a risk / danger that ~".
〜かねない
Might well 〜かねない
"Might well ~", "could easily end up ~" — of a feared outcome.