At the age of 32, Marshall won his first U.S. Supreme Court case, Chambers v. Florida, 309 U.S. 227 (1940). That same year, he was appointed Chief Counsel for the NAACP. He argued many other civil rights cases before the Supreme Court, most of them successfully, including Smith v. Allwright, 321 U.S. 649 (1944); Shelley v. Kraemer, 334 U.S. 1 (1948); Sweatt v. Painter, 339 U.S. 629 (1950); and McLaurin v. Oklahoma State Regents, 339 U.S. 637 (1950). His most famous case as a lawyer was Brown v. Board of Education of Topeka, 347 U.S. 483 (1954), the case in which the Supreme Court ruled that "separate but equal" public education, as established by Plessy v. Ferguson, was not applicable to public education because it could never be truly equal. In total, Marshall won 29 out of the 32 cases he argued before the Supreme Court.