Official Solution: A bowl contains only green and blue chips. If two chips are drawn from the bowl at random and without replacement, what is the probability that both chips will be blue? (1) The ratio of blue chips to green chips in the bowl is 3:4.
If \(B=3\) and \(G=4\), then \(P=\frac{3}{7}*\frac{2}{6}\), but if \(B=6\) and \(G=8\), then \(P=\frac{6}{14}*\frac{5}{13}\). We get two different answers, so this information is not sufficient.
(2) There are 5 more green chips in the bowl than blue chips.
So, \(G=B+5\). This information is clearly insufficient by itself.
(1)+(2) Combining the information, we have \(B:G=3:4\) and \(G=B+5\). Solving this system of equations gives us: \(B=15\) and \(G=20\). With this information, we can find the probability: \(P=\frac{15}{35}*\frac{14}{34}\). Sufficient.
Answer: C