Reference for Berakhot 30:2

לא ס"ד דקתני חרש דומיא דשוטה וקטן מה שוטה וקטן דיעבד נמי לא אף חרש דיעבד נמי לא

This cannot enter thy mind ; because the Mishnah refers to a deaf person exactly as to the mentally defective and minor ; and therefore, as in the case of a mentally defective and minor even post factum [the reading of the Megillah] is invalid, so also if a deaf person has read it, it is likewise invalid.

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