1. ser improbable / que / Diego / comenzar / trabajar / hoy
Answer 1: Es improbable que Diego comience a trabajar hoy. (Subjunctive)
Translation 1: Diego is unlikely to start work today.
2. Carmen y yo / dudar/ que/ tú / conocer / a/ el presidente
Answer 2: Carmen y yo dudamos que tú conozcas al presidente. (Subjunctive)
Translation 2: Carmen and I doubt that you know the president.
3. tal vez / llover / manana
Answer 3: Tal vez llueva mañana. (Subjunctive)
Translation 3: Maybe it will rain tomorrow.
4. ser verdad / que / yo/ jugar/ bien / al tenis
Answer 4: Es verdad que yo juego bien al tenis. (Indicative)
Translation 4: It is true that I play tennis well.
Step-by-step explanation:
In Spanish when talking about things that are subjective and/or possible, but not certain, you have to use the subjunctive mood.
In Spanish when talking about things that are objective and/or certain you have to use the indicative mood.
Spymore