Answer
$\frac{1}{4}$
Work Step by Step
Independent events.
Cubes have 6 sides:
P(blue even)=$\frac{3}{6}$=$\frac{1}{2}$ -there are 3 even blue sides out of 6 sides-
P(green even)=$\frac{3}{6}$=$\frac{1}{2}$ -there are 3 green even sides out of 6 sides-
P(blue even and green even)=P(blue even) $\times$ P(green even)
P(blue even and green even)=$\frac{1}{2}$ $\times$ $\frac{1}{2}$
P(blue even and green even)=$\frac{1}{4}$