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だと思うだろう

would think that [something] is

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phrase Rare #20,731
would think that [something] is Used to say what someone would probably think. The subject and what they think may be clear from context.
JA: 彼を見たら、学生だと思うだろう。
EN: If you saw him, you would think he was a student.

敵の敵は味方だと思うだろう仲間のふりをする

You’d think the enemy of your enemy is your friend, but they’re just pretending to be an ally.

— RRR (2022)

彼が英語を話すのを聞けば、彼が英語を母語とする人だと思うだろう。

If you heard him speak English, you’d think he was a native speaker.

もし君が彼を見たら、女の子だと思うだろう。

If you saw him, you would think he was a girl.

変人だと思うだろういいえ

You'd think I'm a weirdo, wouldn't you? No.

— どん底作家の人生に幸あれ! (2019)

死んだほうがマシだと思うだろうが

You might think you'd be better off dead, but...

— レザボア・ドッグス (1992)