Two dice are rolled. What is the probability that the sum of the numbers rolled is either 3 or 8 ? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Answer
Final Answer: The probability that the sum of the numbers rolled is either 3 or 8 is approximately \(\boxed{0.194}\).
Step 1 ：Two dice are rolled. We need to find the probability that the sum of the numbers rolled is either 3 or 8.
Step 2 ：The sum of two dice can be 3 in two ways: (1,2) and (2,1).
Step 3 ：The sum of two dice can be 8 in five ways: (2,6), (3,5), (4,4), (5,3), and (6,2).
Step 4 ：So, there are a total of \(2 + 5 = 7\) favorable outcomes.
Step 5 ：The total number of outcomes when two dice are rolled is \(6*6 = 36\).
Step 6 ：So, the probability is the number of favorable outcomes divided by the total number of outcomes.
Step 7 ：\(\frac{favorable\_outcomes}{total\_outcomes} = \frac{7}{36} = 0.19444444444444445\)
Step 8 ：Final Answer: The probability that the sum of the numbers rolled is either 3 or 8 is approximately \(\boxed{0.194}\).
