Answer
1/12
Work Step by Step
You do not replace the coins, so the events are dependent:
P(dime)=$\frac{3}{9}$=$\frac{1}{3}$ -3 of the 9 coins are dimes-
P(dime after dime)=$\frac{2}{8}$=$\frac{1}{4}$ -2 of the 8 remaining coins are dimes-
robability:
P(dime then dime)=P(dime) $\times$ P(dime after dime)
P(dime then dime)=$\frac{1}{3}$ $\times$ $\frac{1}{4}$
P(dime then dime)=$\frac{1}{12}$