Chapter 11 - Counting Methods and Probability Theory - 11.7 Events Involving And; Conditional Probability - Exercise Set 11.7 - Page 746: 5

$\frac{1}{4}$

If A and B are independent events, then P(A and B) = P(A)*P(B). (A+B): a color other than red each time A: green or yellow B: green or yellow P(A) = $\frac{3}{6}$ P(B) = $\frac{3}{6}$ Both events A and B are independent: P(A and B) = $\frac{3}{6}$ .$\frac{3}{6}$ = $\frac{1}{4}$