What is the probability of rolling a double six?

The probability of rolling a double six with two dice is 1/36.

When you roll two six-sided dice, each die has 6 faces, numbered from 1 to 6. To find the probability of a specific outcome, such as rolling a double six, you need to consider the total number of possible outcomes and the number of favourable outcomes.

Each die is independent, meaning the result of one die does not affect the result of the other. Therefore, the total number of possible outcomes when rolling two dice is 6 (faces on the first die) multiplied by 6 (faces on the second die), which equals 36 possible outcomes.

A double six means both dice show a 6. There is only one combination that results in a double six: (6, 6). Since there is only one favourable outcome out of the 36 possible outcomes, the probability of rolling a double six is 1 out of 36, or 1/36.

In decimal form, this probability is approximately 0.0278, and as a percentage, it is about 2.78%. This means that if you roll two dice 36 times, you can expect to roll a double six roughly once. Understanding these probabilities helps in games and scenarios where dice are used, giving you a better grasp of the likelihood of different outcomes.