The answer is . . . <u><em>no</em></u> (and the reason is because you haven't provided enough information data for one to determine the precision of the distance).
"6.7 mi" you might want to argue is more precise simply because it measures this distance to the tenth of a mile
"6 mi" happens to equal "6.0 mi" which is also measured to the tenth of a mile.
Precision of a value is determined on the basis of repeatability and/or reproducibility. If the distance is measure 3 times with results that closely match each other - that's precision.
Unfortunately, you didn't provide us with enough information, so there's no way anyone could determine whether or not this measurement is precise.
D is the correct answer because first of all, there are 13 balls total. So the denominator would have to be 13. Also, white is the second largest number of balls in the set, so it is pretty likely that you will pick it. Although the most common picked would be green since it has the most balls.