Final answer:
The chance that the average of 60 rolls of five dice is larger than 18 is between 0% and 100%, because the expected sum of dice rolls falls below 18 but the large number of rolls introduces variability.
Step-by-step explanation:
The question asks about the probability that the average of 60 rolls with five dice is larger than 18. To answer this question, we need to understand the expected value (average) of a single die roll and how it scales when rolling multiple dice multiple times.
For a fair six-sided die, the expected value is (1+2+3+4+5+6)/6 = 3.5. For five dice, the expected value sums to 5 * 3.5 = 17.5 for one roll. However, the question is asking about the average over 60 rolls, not just a single roll. As we increase the number of rolls, the average sum should converge towards the expected value due to the law of large numbers.
Hence, since the expected sum of 17.5 for five dice is less than 18, the chance that the average of 60 rolls is greater than 18 is between 0% and 100%. The precise probability would require more complex statistical analysis involving the distribution of sums of dice rolls, but this is enough information to answer the question given.