In Ex parte Jackson (1877), the Supreme Court said Congress did not violate
the First Amendment by closing the postal system to literature about
lotteries.
In re Rapier affirmed that federal statutes prohibiting the use of the mail
to send lottery cards or advertisements do not violate First Amendment
freedom of the press.
In 1993, the U.S. Supreme Court in United States v. Edge Broadcasting Co.
upheld a federal law prohibiting the broadcasting of advertisements for
state-run lotteries by broadcasters in nonlottery states.