Final answer:
The probability that a randomly selected student does not earn an A in the class is 85%, which is calculated by subtracting the percentage of A's (15%) from 100%.
Step-by-step explanation:
The question of what is the probability that a randomly selected student does not earn an A in a class can be answered using the complement rule of probability. Since 15% of the students received A's, we can subtract this percentage from 100% to find the probability of a student not earning an A. Therefore, the probability is 100% - 15% = 85%.