Suppose the life and fortune of every one of us would depend on his winning or losing a game of chess.—Huxley.

If any one did not know it, it was his own fault.—Cable.

Everybody had his own life to think of.—Defoe.

410. In such a case as the last three sentences,—when the antecedent includes both masculine and feminine, or is a distributive word, taking in each of many persons,—the preferred method is to put the pronoun following in the masculine singular; if the antecedent is neuter, preceded by a distributive, the pronoun will be neuter singular.

The following are additional examples:—

The next correspondent wants you to mark out a whole course of life for him.—Holmes.

Every city threw open its gates.—De Quincey.

Every person who turns this page has his own little diary.—Thackeray.

The pale realms of shade, where each shall take
His chamber in the silent halls of death.
—Bryant.

Avoided: By using both pronouns.