#### Answer

$\frac{4}{9}$

#### Work Step by Step

If A and B are independent events, then
P(A and B) = P(A)*P(B).
A and B: a color other than green each time.
A: red or yellow
B: red or yellow
P(A) = $\frac{4}{6}$
P(B) = $\frac{4}{6}$
Both events A and B are independent:
P (A and B) = $\frac{4}{6}$ .$\frac{4}{6}$
= $\frac{4}{9}$