SECAUCUS, New Jersey (Ticker) -- The first step in the massive rebuilding of the Chicago Bulls comes Saturday when the NBA conducts its draft lottery. After winning six championships in eight years, the Bulls endured the worst season in franchise history with a 13-37 mark. They finished with the worst record in the Eastern Conference and third-worst overall behind Vancouver and the Los Angeles Clippers. The Bulls could have as many as three first-round picks in the June 30 draft but it is their own which carries the most importance. Chicago has a 15.7 percent chance of winning the lottery but could be picking as low as sixth. Depending on where they select, the Bulls will have a chance at one of the top underclassmen who have declared for the draft, such as Rhode Island forward Lamar Odom, Duke forward Corey Maggette or UCLA point guard Baron Davis. General manager Jerry Krause is hoping to select a player who can become a cornerstone of the franchise's future, much the way Michael Jordan did as the third overall pick in 1984 and Scottie Pippen did as the fifth pick in 1987. Maggette is a Chicago native who reportedly decided to leave school after his freshman year after being told he would not slide past the Bulls, regardless of where they select. Chicago has not had a lottery pick since 1989, when it tabbed forward Stacey King sixth overall. The Bulls could also receive Phoenix's pick (16th) and have the right to take San Antonio's pick (29th). The Bulls have some luck working in their favor. The team with the worst record in the NBA -- and the best chance of winning the lottery -- has not received the top pick since 1990. The Grizzlies (8-42) have a 25 percent chance of receiving the top pick. They have chosen third, fourth and second the last three years, tabbing point guard Mike Bibby in 1998. Vancouver could stand improvement in almost every area but has pressing needs for scoring and size. The Clippers (9-41) have a 20 percent chance of winning the lottery. They won it last year and selected center Michael Olowokandi, who had an unspectacular rookie campaign but is considered somewhat of a project. They have a dire need at point guard, making Los Angeles native Davis a sentimental and practical choice. The last team to win the lottery in consecutive years was the Orlando Magic, which in 1992 chose Shaquille O'Neal and in 1993 selected Chris Webber, immediately trading him for Penny Hardaway and three first-round picks. The lottery has undergone several modifications since its introduction in 1985. In addition to expanding from seven to 13 teams, it has been increasingly weighted to ensure the worst teams of receiving the highest possible picks. Under the auspices of accounting firm Ernst & Young, 14 numbered ping-pong balls are placed in a drum. When four balls are drawn from the drum, 1,001 possible combinations exist. Prior to the lottery, 1,000 of those are assigned to the 13 lottery teams by a computer. As the league's worst team, the Grizzlies will be assigned 250 combinations. The Clippers will receive 200 and the Bulls 157. Charlotte (26-24), the best of the non-playoff teams, receives just five combinations. Four balls are drawn and the team assigned that combination receives the top choice. The balls are replaced and the process is repeated to determine the second and third picks. If the unassigned combination is drawn, the process is repeated. After the top three picks are determined, the lottery teams are placed in inverse order of record. Hence, Vancouver will pick no lower than fourth, Los Angeles no lower than fifth and Chicago no lower than sixth. If order holds, the order of selection for the top 13 picks in the 1999 draft will be Vancouver, Los Angeles, Chicago, Toronto, Minnesota, Washington, Boston, Phoenix, Golden State, Cleveland, Toronto, Seattle and Charlotte. Toronto (25-27) owns the first-round pick of Denver (14-36) in addition to its own and has a 12.7 percent chance of receiving the top pick. Minnesota owns the first-round pick of New Jersey (16-34) and has an 8.9 percent chance of winning the top pick. Cleveland (22-28) has the option to receive the first-round pick of Boston (19 31) unless it is among the top three. Unless a combination belonging to the Celtics is drawn from the drum, the Cavaliers will join the Raptors with a pair of lottery picks. Phoenix owns the first-round pick of Dallas (19-31) and may convey its own pick at No. 16 to Chicago. As usual, the exodus of college underclassmen has thrown the draft into upheaval. Forward Elton Brand of Duke, swingmen Richard Hamilton of Connecticut and Ron Artest of St. John's and guard Steve Francis of Maryland figure to be lottery picks. Seniors expected to go high in the draft include forward Wally Szczerbiak of Miami (Ohio), guards Andre Miller of Utah and Jason Terry of Arizona and center Todd MacCulloch of Washington. The lottery will air live at halftime of the San Antonio-Los Angeles playoff game at approximately 6:40 p.m. EDT on NBC.  