It's not that the calculation is wrong. The problem is that it is not a meaningful calculation.
According to 2013 USDA data, of the 23 million heads of households receiving food stamps (SNAP)
9.2 million were white
5.9 million were black
So white people are more than 1.5 times as likely to be,
in your words, perpetrating "one of the biggest scams around". Go be angry at white people for a while.
I recommend (for anyone, really) reading John Allen Paulos'
A Mathematician Reads the Newspaper.
"With the same user-friendly, quirky, and perceptive approach that made "Innumeracy" a bestseller, John Allen Paulos travels though the pages of the daily newspaper showing how math and numbers are a key element in many of the articles we read every day. From the Senate, SATs, and sex, to crime, celebrities, and cults, he takes stories that may not seem to involve mathematics at all
and demonstrates how a lack of mathematical knowledge can hinder our understanding of them."