1. The Venn diagram below shows the number of students in a particular class who play basketball, B, and the number of students in the class that play volleyball, V. If a student is chosen at random from the class, find the probability that the student ... (a) plays basketball; (b) does not play volleyball; (b) plays at least one of the two sports; (d) plays volleyball if it is known that the student plays basketball. [6 marks] 2. A fair coin is tossed four times. Find the probability that you get: (a) exactly four heads; (b) at least one tail. [5 marks] 3. Three different numbers are chosen at random from the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9. Find the probability that the numbers chosen will be (a) all odd; (b) one odd and two even numbers. [6 marks] 4. Given A and B are independent events, and p(4) =0.64, p(AUB) =0.73, find p(B). [6 marks] 5. A bag contains twelve marbles. Eight of the marbles are blue and four of them are green. If two marbles are chosen (without replacement), what is the probability of getting: (a) two blue marbles; (b) one blue marble and one green marble, in any order. [6 marks] 6. Louis and Pierre play a match consisting of five games, each of which must be won or lost. In each of the first three games the probability that Louis will win is - and in the remaining two games the probability is =. Find the probability that Louis will win four or more of the games. [5 marks] 7. If P(X )=0.8, P(Y) = 0.6 and X' and Y' are independent events, find the probability that: (a) both X and Y occur; (b) Xor Y occur but not both X and Y. [6 marks]