A listing of all the values the random variable can assume with their corresponding probabilities make a probability distribution.
A note about random variables. A random variable does not mean that the values can be anything (a random number). Random variables have a well defined set of outcomes and well defined probabilities for the occurrence of each outcome. The random refers to the fact that the outcomes happen by chance -- that is, you don't know which outcome will occur next.
List 1 mentions that there is "Ham, Carrots, celery". We know that students can only have <em>either </em>carrots or celery, but the list shows that the students have both. Therefore, list 2 is correct.