The limitations of common sense

Something closer to 20-30, I think--if you pull five date tickets out of a bag, putting each one back after pulling it, the chances of pulling the same one twice seem low.My intuitive draw poker sense tells me that at around 20-30 pulls, the odds of pulling a duplicate are mounting...so I'll guess 25.

The cannonball doesn't lose its rotational velocity just because it's fired upward from a cannon.On a still day, my model rockets always fell close at hand, so I'd think whatever direction the wind is blowing would be more of a determinant of where the cannonball landed.

Nothing sharpens the statistical sense like a busted straight and a called bluff

The ball and the hand in the car are maintained at equal relative velocity by the car--a ball tossed from the car drops quickly behind because the car no longer supplies the force to keep it moving.The cannon and the cannonball are tethered to the earth by gravity, not by containment within the atmosphere per se or by contact with the earth. There would be some slight attenuation of gravitational pull as the cannonball rose, but not enough to make an appreciable difference--unless the cannonball rose far enough to reach near-orbital heights.That's my theory, and I'm sticking to it.