Final answer:
The subject of this question is Mathematics. The larger outcome when two fair four-sided dice are rolled can be any number from 1 to 4, with equal probabilities of 1/4 for each outcome.
Step-by-step explanation:
The subject of this question is Mathematics. The question involves rolling two fair four-sided dice and finding the larger outcome, represented by the variable x. Each die has four sides, numbered 1 to 4, so the larger outcome can be any number from 1 to 4.
Since the dice are fair, all outcomes are equally likely. Therefore, the probability of any specific outcome, including the larger outcome x, is 1/4. So, the correct answer is x = 1, x = 2, x = 3, and x = 4, which are all possible outcomes when rolling two fair four-sided dice.