What is the probability of rolling a sum of 12 on a standard pair of six-sided dice? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.

Answer

To find the probability of rolling a sum of 12 with two standard six-sided dice, we first determine the total number of possible outcomes. Since each die has 6 faces, the total number of outcomes for two dice is 6 * 6 = 36. Next, we identify how many of these outcomes result in a sum of 12. There is only one such outcome: (6, 6). Therefore, the number of favorable outcomes is 1. The probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. This gives a probability of 1/36. As a decimal rounded to three decimal places, 1 divided by 36 is approximately 0.028.