Great work here on the data analysis. One thought to bear in mind, all the lotto balls are not dropped, thus you may not have a full frequency analysis. This may sound a little strange, but to really get the answers you are looking for you need a test. No self respecting engineer would do this on data alone, you need the physical test to accelerate and refine the data. I saw an exhibit recently that comes to mind, it was at a children’s science fair. It was a giant plinko board about 10 feet tall by 15 feet wide. It released balls at the center point at the top from a tumbler. It was designed to explain statistics and distribution theory. It worked wonderfully as you would get a nice distribution curve, almost perfect, visually impressive. My thought would be to build such a device and drop the lotto balls “numbered” and run the test 10,000 times. Log the data and then give me your comparative results. Two tests would even be better. try dropping all 50 balls and test the repeatable distribution of number sequences. The problem with most folks is we’re lazy and won’t take the time to engage such a project. Plywood, nails, ping-pong balls….away ya go…. Take your own data…..

Sincerely,
Test Engineer