Households who lost their homes in Berkeley through foreclosure since 2005 or by the construction of BART in the 1960s-70s can apply to be included among seven groups who will have higher priority in many affordable housing lotteries, which already filter households by income. | By Matthai Chakko Households who lost their homes in Berkeley through foreclosure since 2005 or by the construction of BART in the 1960s-70s can apply to be included among seven groups who will have higher priority in many affordable housing lotteries, which already filter households by income. Under new rules now in effect in Berkeley,