<p>Casework.</p>
<p>I. The number of times the target is hit is n-1 where n is the number of throws (because a person stops throwing when he/she misses the target) so a new chart of the number of times the target was actually hit vs. the number of people (derived from this chart would be)</p>
<p>0 # 7
1 # 6
2 # 6
3 # 4
4 # 2</p>
<p>Clearly, 7 is less than half of 25, so I is true.</p>
<p>That eliminates choices B and D and choices C and E both included III. so let’s test III. </p>
<p>If “o one hit the target 5 times” means “only one hit the target 5 times” than III is false because the most times anyone hit the target is 5-1 = 4 times = A,</p>
<p>If “o one hit the target 5 times” means “0 hit the target 5 times” than III is true.</p>
<p>If III is true, than that leaves choices C and E. Testing II, the number of throws attempted is 7(1)+6(2)+6(3)+4(4)+2(5)=7+12+18+16+10= 63. By the new chart above, the sum of the number of times the target was hit is 7(0)+6(1)+6(2)+4(3)+2(4)= 0+6+12+12+8= 38. 38 is more than half of 63, so II is true. Since there is no “I and II” choice, E must be the correct answer.</p>