To determine whether the student’s sample is an appropriate, random sample and a good representation of the population, we should consider the methodology of her sampling.
If the student truly selects ice samples randomly from various coffee drinks prepared at the coffee shop throughout different times of the day and from different types of drinks, then:
Option #1: Yes, her sample is an appropriate, random sample. It is a good representation of the population.
However, if the selection process is biased in any way (for example, if she only samples ice from busy hours, a specific type of drink, or ice from a single day), then:
Option #2: No, her sample is not an appropriate, random sample. It does not represent the whole population.
Without additional information about the selection process, we cannot definitively conclude which option to choose.