Final answer:
The probability of rolling an 11 or a 7 on an 18-sided die is 2/18, which simplifies to 1/9, or approximately 11.11%.
Step-by-step explanation:
To calculate the probability that the 18-sided die lands on an 11 or a 7, we look at the favorable outcomes and the total number of outcomes. There are two favorable outcomes (rolling an 11 or a 7), and there are 18 possible outcomes since the die has 18 sides. Therefore, we use the probability formula:
Probability (P) = Number of favorable outcomes / Total number of outcomes.
Applying this formula, the probability of landing on an 11 or 7 is:
P(11 or 7) = 2 / 18 = 1 / 9 ≈ 0.1111 or 11.11%
This means that there is an 11.11% chance that the die will land on either 11 or 7 when it is rolled once.