Suppose that Box I contains \( 6 \) red balls and \( 9 \) green balls, and Box II contains \( 8 \) red balls and \( 12 \) green balls. All the balls of Box I and Box II are mixed together and a ball is chosen at random from them. Let \( E_1 \) be the event that the ball chosen belonged to Box I and let \( E_2 \) be the event that the ball chosen belonged to Box II. Let \( F_1 \) be the event that the ball chosen is red and let \( F_2 \) be the event that the ball chosen is green. Then which of the following statement is (are) TRUE?
