The Venn diagram below shows the 9 students in Ms. Thomas's class. The diagram shows the memberships for the Chess Club and the Science Club. A student from the class is randomly selected. Let A denote the event "the student is in the Chess Club." Let B denote the event "the student is in the Science Club." The outcomes for the event A are listed in the circle on the left. The outcomes for the event B are listed in the circle on the right. Note that Kala is outside the circles since she is not a member of either club. Answer each part below. If necessary, consult a list of formulas. (a) Find the probabilities of the events below. Write each answer as a single fraction. P(A) = 1/4 P(B) = 1/16 2 P(A and B) = - P(B | A) = P(A) P(B | A) = 9 (b) Select the probability that is equal to P(A and B). P(A) P(BA) OP(BA) OP(B) OP(A) X 5 Kala Chess Science Debra Boris Kevin Alan Yolanda Laura Justin Isabel