I'll let you decide:
SEC. 20 (a) A State nonmember insured bank may not--
(1) deal in lottery tickets;
(2) deal in bets used as a means or substitute for participation in a lottery;
(3) announce, advertise, or publicize the existence of any lottery; or
(4) announce, advertise, or publicize the existence or identity of any participant or winner, as such, in a lottery.
[Codified to 12 U.S.C. 1829a(a)]
[Source: Section 2[20(a)] of the Act of September 21, 1950 (Pub. L. No. 797), as added by section 3 of the Act of December 15, 1967 (Pub. L. No. 90--203; 81 Stat. 610), effective April 1, 1968; as amended by section 602(a)(51) of title VI of the Act of September 23, 1994 (Pub. L. No. 103--325; 108 Stat. 2290), effective September 23,1994]
(b) A State nonmember insured bank may not permit--
(1) the use of any part of any of its banking offices by any person for any purpose forbidden to the bank under subsection (a), or
(2) direct access by the public from any of its banking offices to any premises used by any person for any purpose forbidden to the bank under subsection (a).
Also:
Twelve U.S.C. §25a generally prohibits national banks from involvement in lotteries. The portion relevant to your inquiry provides that “a national bank may not ... announce, advertise, or publicize the existence of any lottery.” 12 U.S.C. §25a(a). It seems clear that this language requires some affirmative action by a national bank to publicize a lottery, for example, by displaying advertising on its premises.
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The opinions expressed are mine and they are not to be taken as legal advice.