Answer
$\frac{1}{36}$
Work Step by Step
You do not replace the coins, so the events are dependent.
2 of the 9 coins are pennies:
P(penny)=$\frac{2}{9}$
1 of the 8 remaining coins is a quarter:
P(quarter after penny)=$\frac{1}{8}$
P(penny then quarter)=P(penny) $\times$ P(quarter after penny)
P(penny then quarter)=$\frac{2}{9}$ $\times$ $\frac{1}{8}$
P(penny then quarter)=$\frac{1}{36}$
