## Thinking Mathematically (6th Edition)

$\frac{1}{36}$
If A and B are independent events, then P(E) = P(A)*P(B) A single die is rolled twice. Find the probability of rolling: E: A 2 the first time and a 3 the second time. A: 2 the first time B: 3 the second time P(A) = $\frac{1}{6}$ P(B) = $\frac{1}{6}$ All of the events are independent of each other, so it follows that: P(E) = $\frac{1}{6}$ .$\frac{1}{6}$ = $\frac{1}{36}$