Now that Analog Kid has posted the results I'll explain how I was going to "game" the October postal rifle match Analog Kid called "The Black Death".  Because you can shoot the target as many times as you want what I was going to do was put up ten targets at 200 yards.  Then:

1. Take one shot at each of the smallest, 0.5", squares.  With no wind I can connect with a 0.5" square at 200 yards about 48% of the time as predicted by Modern Ballistics.  With 10 shots I should hit five of them.
2. On the five targets I hit the 0.5" square on I would shoot at the 0.75" inch square.  The odds of touching a 0.75" square is predicted to be 63%.  With five shots I should hit three of them.
3. On the three targets I hit the 0.75" square I would shoot at the 1.0" target.  The odds of touching a 1.0" square is predicted to be 75%.  With three shots I should hit two of them.
4. On the two targets I hit the 1.0 target I would shoot at the 1.25" target.  The odds of touching a 1.25" square is predicted to be 83%.  With two shots I should hit one of them.
5. On that target I would shoot the rest of the squares with the odds of 90%, 96%, 99%, 99.8%, and 99.99% of hitting the 1.5", 2.0", 2.5", 3.0", and 3.5" targets.  The odds of connecting on all of them is predicted to be 85%.

So...with 25 shots I have an 85% chance of creating a clean target at 200 yards.  With 50 shots I have a 98% chance of doing it.

Unfortunately I procrastinated too much and didn't make time to get out to the range until it was raining and almost dark.