There are at least two named categories for people with that combination of traits: nouveau riche (people who've metaphorically won the lottery due to what they

There are at least two named categories for people with that combination of traits: nouveau riche (people who've metaphorically won the lottery due to what they perceive to be their superior number-picking abilities) and trust fund babies (people who've had no input into the building of their wealth, but who belive it's something they deserve rather than just something they have). It's not rare at all.