Final answer:
The most likely outcome when rolling two dice is not rolling a double, as this has a probability of 5/6, while rolling any double has a probability of 1/6, and rolling a double six has a probability of 1/36.
Step-by-step explanation:
The question asks which outcome is most likely when rolling two dice: A double, a double six, not a double, or if it cannot be determined.
When rolling two, six-sided dice, there are 36 possible outcomes, one for each combination of the first die (1 through 6) and the second die (1 through 6).
To find the probability of rolling a double (the same number on both dice), you need to consider that there are 6 possible doubles (1-1, 2-2, 3-3, 4-4, 5-5, 6-6).
The probability of rolling a double six is just one out of the 36 possible outcomes because there is only one way to roll a double six (6-6).
Thus, the probability of rolling any double is 6/36, which simplifies to 1/6, while the probability of rolling a double six is 1/36.
Therefore, the most likely outcome is not a double since there are 30 ways to roll a not double (36 total outcomes - 6 doubles), which gives us a probability of 30/36 or 5/6.
The answer to the original question is C. not a double.