Chapter 11 - Counting Methods and Probability Theory - 11.7 Events Involving And; Conditional Probability - Exercise Set 11.7 - Page 746: 9

$\frac{1}{8}$

If A, B and C are independent events, then P(E) = P(A)*P(B)*P(C) E: red every time. A: red B: red C: red P(A) = $\frac{3}{6}$ P(B) = $\frac{3}{6}$ P(C) = $\frac{3}{6}$ All of the events are independent of each other, so it follows that: P(E) = $\frac{3}{6}$ .$\frac{3}{6}$ . $\frac{3}{6}$ = $\frac{1}{8}$