Answer
1/12
Work Step by Step
You do not replace the coins, so the events are dependent:
P(penny)=$\frac{2}{9}$ -2 of the 9 coins is a quarter-
P(dime after penny)=$\frac{3}{8}$ -3 of the 8 remaining coins are dimes-
Probability:
P( penny then dime)=P(penny) $\times$ P(dime after penny)
P( penny then dime)=$\frac{2}{9}$ $\times$ $\frac{3}{8}$
P( penny then dime)=$\frac{1}{12}$