14) Four of your students submitted an entry to a writing contest. A total of 24 entries were submitted. Six of the entries will move on to the next round. Consider that the probability does not change after each trial (e.g., that each student has an equal likelihood that they will move on to the next round.)

a. What is the probability that all four of your students will move on to the next round?

b. How many of your students are expected to move to the next round?

c. What is the probability that fewer of your students than expected will make it to the next round than expected?