tl;dr What a person recognizes and what a person acts on are not always the same.
tl;dr What a person recognizes and what a person acts on are not always the same.
A numerate person looks at things like this as a math problem. An innumerate person doesn't.
People make terrible choices all the time despite knowing and understanding all sorts of things (math, health risks, harm they may cause themselves or others) because they have emotions and because weakness of will is a real phenomenon. You seem to be completely discounting all other considerations except "understanding the numbers".
I edited this about twenty times. I suspect we have radically different views of human psychology and how knowledge affects choice. Might be interesting to discuss over a beer, but here only a distraction from the larger issue in the article. Apologies.
The lie with these kinds of things is not as much in those percentages as it is that it is not a lottery. There are people who can sell anything; they are the winners. Also, typically, there is some kind of pyramid scheme involved. You get stats on the early birds, but you cannot become an early bird yourself.
A small chance of winning, but with otherwise serious cash problems? Or high probability of a nice stable income?
I know what I would choose.
And that likely is true. If you choose any 20 hours to work each day, 7 days a week and have some talent for sales, you likely will make that 15K.