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Fidel Castro, long suspected of possible complicity in the assassination of President Kennedy, is apparently a conspiracy buff himself. Just seven months after the November, 1963 shooting in Dallas, according to a newly-declassified letter from FBI Director J. Edgar Hoover, the Cuban leader ran his own tests to determine whether it was possible for one man using a rifle with a telescopic sight to have killed the American president. An FBI informant told Hoover that Castro speculated that "it took about three people" to do the deed. Cuba has insisted that the CIA was behind the plot. ButTIME senior writer Bruce Nelansays the news won't change many minds in the U.S. "It sounds like a defensive maneuver on Castro's part," Nelan says. "If you did it, you would do something to make it seem that you hadn't."