Violet Palmer was the first women to officiate an NBA game. On October 31, 1997 she was an official in the game between the Dallas Mavericks and Vancouver Grizzlies.
Women don't play in the NBA, they play in the WNBA. As for your question, the first black woman to be drafted into the WNBA was Dena Head, who was also the first woman ever to be drafted into the WNBA.
The NBA changed the first round to best of 7 in 2003.
NBA
An NBA playoff series consists of up to seven games. The team that wins four games first advances to the next round.
The first NBA champions were the Philadelphia Warriors. They won the first NBA championship (back when it was still the BAA) in the 1946-47 season, defeating the Chicago Stags 4 games to 1 in the finals.
No women play in the NBA.
In the NBA playoffs, a series is typically best of seven games, meaning the first team to win four games advances to the next round.
The NBA schedules the games by a computer.
In 1980, Ann Meyers made NBA history when she signed a $50,000 no-cut contract with NBA's Indiana Pacers. She participated in three-day tryouts for the team, the first by any woman for the NBA, but eventually was not chosen for the final squad.
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The very first NBA Championship was played in 1950. The Minneapolis Lakers beat the Syracuse Nationals. They won four out of six games.