Resumen.

1. Usaremos may y su negación may not para expresar una posibilidad.

1.1. Oración afirmativa.

       The manager may travel to Texas next week. 

1.2. Oración negativa.

       The meeting may not be held tomorrow.

1.3. Oración Interrogativa.

       El auxiliar may no se usa en la oración interrogativa con la idea de posibilidad.

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2. Might, and its negative form might not, are the conditional form of may. Use it for:

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2.1. Possibility. → Companies might use electric vehicles for public transportation in the future.