If \( \frac{a}{b} \) = \( \frac{3}{2} \) and \( \frac{b}{c} \) = \( \frac{3}{5} \), then the value of \(\frac{a+b}{b+c}\) is:
\( \frac{9}{11} \)
\( \frac{15}{16} \)
\( \frac{6}{11} \)
\( \frac{5}{16} \)
An urn contains 10 black and 5 white balls. Two balls are drawn from the urn one after the other without replacement. What is the probability that both drawn balls are black?
\( \frac{2}{7} \)
\( \frac{3}{7} \)
\( \frac{4}{7} \)
\( \frac{5}{7} \)