Chapter 11 - Counting Methods and Probability Theory - 11.7 Events Involving And; Conditional Probability - Exercise Set 11.7 - Page 746: 6

$\frac{4}{9}$

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) = $\frac{4}{6}$ .$\frac{4}{6}$ = $\frac{4}{9}$