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 are pennies-
P( nickel after penny)=$\frac{1}{8}$ -3 of the 8 remaining coins are nickels-
Probability:
P( penny then nickel)=P(penny) $\times$ P( nickel after penny)
P( penny then nickel)=$\frac{2}{9}$ $\times$ $\frac{3}{8}$
P( penny then nickel)=$\frac{1}{12}$