~に決まっている
Be certain there is only one obvious conclusion
You’ll be able to state a strong, often conversational conviction that something must be the case.

焼きたてのアップルパイは、おいしいに決まっています。
yakitate no appurupai wa, oishii ni kimatte imasu.
What do you think this sentence means?
Freshly baked apple pie is bound to be delicious.
Assert an undeniable conclusion
~に決まっている expresses the speaker's firm conviction that a conclusion is obvious, inevitable, or self-evident ("bound to be...", "definitely...", "of course it must be...").
こんなに寒い日に泳いだら、風邪をひくに決まっているよ。
konna ni samui hi ni oyoidara, kaze o hiku ni kimatte iru yo.
If you swim on a day this cold, you are bound to catch a cold.
そんな話、うそに決まっている。
sonna hanashi, uso ni kimatte iru.
A story like that has to be a lie.
Attach に決まっている directly to plain forms
Attach に決まっている directly to verbs (plain form), adjectives, or nouns (without だ).
毎日練習したんだから、合格するに決まっている。
mainichi renshuu shita n da kara, goukaku suru ni kimatte iru.
Since you practiced every day, you’re bound to pass.
~に違いない vs ~に決まっている
Both say the speaker is sure. ~に違いない draws a conclusion from evidence and suits writing too; ~に決まっている is conversational and sounds like the answer is simply obvious.
~に違いない, must be (deduced)
あんなに働いたんだから、疲れているに違いない。
anna ni hataraita n da kara, tsukarete iru ni chigainai.
They worked that hard, so they must be tired.
A firm inference; also fine in writing.
~に決まっている, bound to be (obviously)
あんなに働いたんだから、疲れているに決まっている。
anna ni hataraita n da kara, tsukarete iru ni kimatte iru.
They worked that hard, so of course they are tired.
Conversational and emphatic: the speaker treats it as obvious.
「え、夜中の二時にラーメン?そんなの体に悪いに決まっているじゃない。」
“e, yonaka no niji ni raamen? sonna no karada ni warui ni kimatte iru janai.”
“What, ramen at two in the morning? That’s obviously bad for you.”
お菓子と野菜なら、子どもはお菓子を選ぶに決まっているでしょう。
okashi to yasai nara, kodomo wa okashi o erabu ni kimatte iru deshou.
Between sweets and vegetables, kids are obviously going to pick the sweets.
新車を買いたいなんて言ったら、妻は反対するに決まっている。
shinsha o kaitai nante ittara, tsuma wa hantai suru ni kimatte iru.
If I say I want to buy a new car, my wife is bound to object.
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