Enter your answers as reduced fractions using / 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 ? \[ P(14)= \] 3. What is the probability of rolling a sum of 4 ? \( P(4)= \)

To find the probability of rolling specific sums with two six-sided dice, we first calculate the total number of outcomes, which is 36 (since each die has 6 sides). 1. The combinations to achieve a sum of 8 are (2,6), (3,5), (4,4), (5,3), and (6,2). That's 5 outcomes. So, \( P(8) = 5/36 \) 2. The combinations to achieve a sum of 14 are impossible since the maximum sum with two dice is 12. Hence, there are 0 outcomes. So, \( P(14) = 0/36 = 0 \) 3. The combinations to achieve a sum of 4 are (1,3), (2,2), and (3,1). That's 3 outcomes. So, \( P(4) = 3/36 = 1/12 \) Final answers: \( P(8) = 5/36 \) \( P(14) = 0 \) \( P(4) = 1/12 \)