Math

StatisticsQ&A LibraryNBA draft lottery. Professional basketball teams holda “draft” each year in which they get to pick the bestavailable college and high school players. In an effort topromote competition, teams with the worst records getto pick first, theoretically allowing them to add betterplayers. To combat the fear that teams with no chance tomake the playoffs might try to get better draft picks byintentionally losing late-season games, the NBA’s Boardof Governors adopted a weighted lottery system in 1990.Under this system, the 11 teams that did not make theplayoffs were eligible for the lottery. The NBA prepared66 cards, each naming one of the teams. The team withthe worst win-loss record was named on 11 of the cards,the second-worst team on 10 cards, and so on, with theteam having the best record among the nonplayoff clubsgetting only one chance at having the first pick. The cardswere mixed, then drawn randomly to determine the orderin which the teams could draft players. Suppose thereare two exceptional players available in this year’s draftand your favorite team had the third-worst record. Use asimulation to find out how likely it is that your team getsto pick first or second. Describe your simulation carefully.Start your trial now! First week only $4.99!*arrow_forward*

Question

NBA draft lottery. Professional basketball teams hold

a “draft” each year in which they get to pick the best

available college and high school players. In an effort to

promote competition, teams with the worst records get

to pick first, theoretically allowing them to add better

players. To combat the fear that teams with no chance to

make the playoffs might try to get better draft picks by

intentionally losing late-season games, the NBA’s Board

of Governors adopted a weighted lottery system in 1990.

Under this system, the 11 teams that did not make the

playoffs were eligible for the lottery. The NBA prepared

66 cards, each naming one of the teams. The team with

the worst win-loss record was named on 11 of the cards,

the second-worst team on 10 cards, and so on, with the

team having the best record among the nonplayoff clubs

getting only one chance at having the first pick. The cards

were mixed, then drawn randomly to determine the order

in which the teams could draft players. Suppose there

are two exceptional players available in this year’s draft

and your favorite team had the third-worst record. Use a

simulation to find out how likely it is that your team gets

to pick first or second. Describe your simulation carefully.

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