Need help crosschecking my work to the following pictured questions.

In a group of 25 freshmen, 18 are taking English (E) 10 are taking algebra (A), and 6 are taking both English and algebra, Complete the Venn diagram to illustrate the relationship between the sets. Make certain all 25 freshmen are represented. Use the rule for complementary events to find the probability that a randomly selected freshman is not taking English. For your presentation, write the rule complementary events, show your subsitutions and express your final answer in fraction form