Opinion, statement, certainty
il est probable que
IndicativeExample
Il est probable qu'il acceptera notre offre.
Do not write
Il est probable qu'il accepte notre offre.
Why
A TRAP, and the exact counterpart of il est possible que. Probability presents the fact as expected: INDICATIVE. Possibility leaves it open: subjunctive. One word separates the two phrases, and the mood changes. The subjunctive is found in good writing, but it stays a minority form: write the indicative.
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