Final answer:
The variable 'x' represents the difference in the number of dots facing up when two dice are tossed, ranging from 0 to 5. After rolling, subtract the smaller number from the larger number shown on the dice to get 'x'.
Step-by-step explanation:
The student is asking about the random variable x which represents the difference in the number of dots facing up when two dice are tossed. To find the value of x, we need to consider all possible outcomes when two six-sided dice are rolled. Each die has sides numbered 1 through 6, leading to a total of 36 different combinations when two dice are tossed.
The difference in the number of dots on the two dice will be the absolute value of the subtraction of one die's result from the other. For example, if one die lands on 4 and the other on 6, the difference x would be |4 - 6| = 2. The possible values for x range from 0 (when both dice have the same number) to 5 (for example, when one die shows 1 and the other shows 6).
Therefore, to determine the value of x after rolling the dice, one would subtract the smaller number from the larger number obtained on the two dice and take the absolute value if necessary.