The table gives the number of people diagnosed with AIDS/HIV in 2010 in the five states with the largest number of cases, as well as the District of Columbia, as reported by the U.S. Centers for Disease Control and Prevention (CDC). It also shows the population of those regions at that time from the U.S. Census Bureau.

Find the number of people diagnosed with AIDS/HIV per thousand residents in each region, and rank the six regions from highest rate (rank 1) to lowest rate (rank 6). Compare these rankings (of rates) with the ranks of total number of cases. If you moved to one of these regions and met 50 random people, in which region would you be most likely to meet at least one person diagnosed with HIV? In which of these regions would you be least likely to meet at least one person with HIV?

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State New York California Florida 192,753 160,293 117,612 77,070 Population 19,421,005 37,341,989 18,900,773 25,258.418 8,807,501 601,723 New Jersey District of Columbia 9,257