Pilot type here …
cite: http://ntsb.gov/aviation/Table1.htm
In 2004 (latest data available), the NTSB says the big jet airlines killed 14 people, the commuter/express airlines killed 64, and general aviation (lightplanes to corporate jets) killed 556. Foreign aircraft & ultralights killed off another 2+14 = 16 total. Grand total = 650
Of those, all but one were on the plane. One lucky soul was standing on the ground when a plane hit them. Oops.
That was out of at least 11.3 million flights (general aviation doesn’t have to report their flight count, but I bet it’s between 1 & 2 million more flights.)
In general, 2004 was a safe year for the big jets and a typical year for everybody else. A more typical big jet year kills ~150, not 14.
So that’s airplanes.
As to lotteries, Powerball sez: (http://www.powerball.com/pb_news.asp) they’ve had 20 winners at/over $1Mill since 1/1/2005. That annualizes out to 22 expected for all of 2005.
The newer format Powerball introduced mid-year makes more $1M winners, so the annual total going forward will probably be larger than 25, while the total from 2004 (same year as the airplane stats) was only 12.
Now Powerball is not the only lottery in the USA, so you’ll have to add those others. Other than the NY lottery, most of those are small fry & don’t produce many $1M jackpot winners.
I think the US-based lotteries other than Powerball almost certainly don’t create the 50+ total $1M winners a year needed to pass the airline’s kill count. So overall, I’d bet there were more airline fatalities than $1M lottery winners in 2004, and definitely more fatalities than winners in a more typical airline fatality year.
If you include general avaition fatalities (ie mostly lightplanes), the annual plane crash deaths outnumber the $1M lottery winners by 10 or 15 to 1.
As to the OP’s exact question, well he asks two. The question of whether there are more plane crash victims or lottery winners can (in principle) be answered conclusively by digging just a little deeper into stats like those I’ve provided.
But that conclusion does NOT even begin answer the question of which is “more likely” to happen to you, or what “the odds” are. Those are very differerent questions and require a LOT more specification of the problem & a lot more data and analysis as other folks have pointed out.
Many people with a bad grasp of probability grossly misuse the terms odds or liklihood. I suspect the OP either doesn’t understand the terms or was just being real loose with them.