What is "if you roll two fair six-sided dice?

When rolling two fair six-sided dice, each die has 6 faces with numbers ranging from 1 to 6. The total number of possible outcomes when rolling two dice is 36 (6 possibilities for the first die multiplied by 6 possibilities for the second die).

The most common total outcome when rolling two dice is 7, as there are 6 different ways to get a sum of 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1). On the other hand, the least common total outcomes are 2 and 12, each with only one way to achieve them (1+1 and 6+6, respectively).

The probabilities of getting each possible total when rolling two dice can be calculated by dividing the number of ways to achieve that total by the total number of possible outcomes (36). The probabilities range from 1/36 for a total of 2 or 12 to 1/6 for a total of 7.

Overall, rolling two fair six-sided dice can result in a wide range of total outcomes, with some totals being more likely than others based on the number of ways they can be achieved.