Answer
$\frac{1}{8}$
Work Step by Step
You do not replace the coin, so the events are dependent.
3 of the 9 coins are dimes:
P(dime) = $\frac{3}{9}$
3 of the 8 remaining coins are nickles: $\frac{3}{8}$
P(nickle) = $\frac{3}{8}$
P(dime then nickle) = P(dime) x P(nickle) = $\frac{3}{9} \times \frac{3}{8}=\frac{9}{72}=\frac{1}{8}$
