Answer
1/36
Work Step by Step
You do not replace the coins, so the events are dependent:
P(quarter)=$\frac{1}{9}$ -1 of the 9 coins is a quarter-
P(penny after quarter)=$\frac{2}{8}$=$\frac{1}{4}$ -2 of the 8 remaining coins are pennies-
Probability:
P(quarter then penny)=P(quarter) $\times$ P(penny after quarter-
P(quarter then penny=$\frac{1}{9}$ $\times$ $\frac{1}{4}$
P(quarter then penny)=$\frac{1}{36}$