CHA officials estimate that some of the "winners" could get a voucher by mid-summer. Others could wait a decade, depending on how fast the city's 35,000 vouchers turn over.
The registration process for the lottery will run for a month, ending May 15.
Chicago's progress at demolishing high-rise public housing and replacing it with mixed-income communities has made competition for Section 8 vouchers fierce. Each family evicted from a high-rise has automatically moved to the top of the Section 8 waiting list, with a temporary voucher to hold them over.