A group of 200 students were surveyed on their drinking habits. The following information was collected: 110 students drank coffee (C); 50 drank tea (T); and 90 drank energy beverages (E). The survey also established that 30 students drank coffee and tea; 10 students drank all three beverages, 50 students drank coffee and energy beverages, and lastly, 20 students drank tea only. a) Show the distribution of the students in each category by completing the following so-called "Venn" diagram.

b) What is the probability that a randomly selected student does not drink any of the three beverages?