Final answer:
The probability of rolling double sixes with two six-sided dice is 1 out of 36 possible outcomes.
Step-by-step explanation:
The question asks about the probability of rolling double sixes when rolling two six-sided dice simultaneously.
Each die has 6 faces, so when we roll two dice, there are a total of 6 x 6 = 36 possible outcomes.
To determine the probability of rolling double sixes (both dice showing a 6), we need to recognize that there is only 1 outcome where this happens: when both dice show a 6.
Thus, the probability is 1 divided by the total number of outcomes, which is 36.
Therefore, the probability of rolling double sixes (event E) is:
P(E) = number of favourable outcomes / total number of outcomes
P(E) = 1 / 36