WASHINGTON — The Secret Service on Wednesday announced the departure of three employees connected to a prostitution scandal last week involving members of President Barack Obama’s security detail who were in Cartagena, Colombia.

As the agency tried to manage the fallout from the embarrassing episode, it said in a statement that one agent is expected to resign and another, a supervisor, intends to retire. A third, also a supervisor, has been recommended for firing but will have an opportunity to appeal, officials said.

In all, 11 Secret Service employees — either agents or staff members of the agency’s uniformed division — and 10 military personnel are suspected of being involved in a night of carousing that included heavy drinking, visits to strip clubs and prostitutes on April 11, two nights before Obama was to arrive in the seaside town of Cartagena for an international summit.

The agency and the Defense Department are each investigating the alleged misconduct. The remaining eight Secret Service personnel are on administrative leave, and their top-secret security clearances are suspended.

The military has returned its service members to their home bases.

“We demand that all of our employees adhere to the highest professional and ethical standards and are committed to a full review of this matter,” the Secret Service said in a statement.

Sen. Mary Landrieu, D-La., chairman of the Senate Appropriations subcommittee on homeland security, called the men’s alleged misbehavior a “gross violation of public trust.”