nter your answers as reduced fractions using \( / f \) for the fraction bar. Do NOT use any spaces in your answer. 1. What is the probability of rolling a sum of 8 ? 2. What is the probability of rolling a sum of 14 ? \[ P(14)=0 / 1 \] 3. What is the probability of rolling a sum of 4 ? \( P(4)=1 / 12 \)

To find the probability of rolling a sum of 8 with two six-sided dice, first identify all possible outcomes that yield that sum. The pairs that add up to 8 are: (2,6), (3,5), (4,4), (5,3), and (6,2). There are 5 successful outcomes out of the total 36 possible outcomes when rolling two dice. Thus, the probability \(P(8) = 5 / 36\). For the probability of rolling a sum of 4, the successful pairs are (1,3), (2,2), and (3,1). There are 3 combinations that result in this sum. Given a total of 36 outcomes from rolling two dice, the probability can be represented as \(P(4) = 3 / 36\), which simplifies to \(1 / 12\).