Answer
$\frac{16}{81}$
Work Step by Step
The events are independent:
P(B)=$\frac{3}{9}$-3 of the 9 tiles are B's-
P(C)=$\frac{4}{9}$-4 of the 9 tiles are C's-
P(B and c)=P(B) $\times$ P(C)
P(B and c)=$\frac{3}{9}$ $\times$ $\frac{4}{9}$
P(B and c)=$\frac{12}{81}$
P(B and C)=$\frac{4}{27}$