Can the random variables below be considered to be binomial? Why or why not?

a) A vaccine maker claims that the probability of becoming ill with the flu is 0.01 for each child who has been vaccinated with its flu vaccine. A trial is conducted during the flu season: 100 randomly sampled children are vaccinated, and the number, X, who become ill with the flu is observed.

b) There are 10 students enrolled in a class. The instructor randomly selects students (one at a time) during the course of the class, and asks them a question. A total of five people are selected, without replacement (i.e. no person can be selected more than once). The number, X, who answer correctly is noted.