Probability : Tree Diagram

A carvery offers roast lamb, roast beef, roast pork and roast chicken as the main course and apple pie, cheese cake and orange cake as sweets. Draw a tree diagram and a lattice diagram to show the number of possible selections consisting of one item from the main courses and one from the sweets. If each is equally likely to be selected, what is the probability of selecting (i) roast pork and either cheese cake or orange cake, (ii) roast chicken but not apple pie?7. A coin is tossed three times. Illustrate on a tree diagram the eight possible outcomes. Are the outcomes equally likely? Find (i) P(0 heads), (ii) P(1 head), (iii) P(2 heads), (iv) P(3 heads). 8 . A box has 4 balls marked 1, 2, 3, 4. A ball is selected at random from the box and the pointer is rotated on the circular disc. R Illustrate on a tree diagram the 12 possible outcomes. What is the probability of getting (i) R and an odd number, (ii) W and a number greater than 2 or R and an even number? 9. Three students Arnold, Brenda and Christina work independently on a mathematics problem and each has a 50-50 chance of success(S). Draw a tree diagram illustrating the possible outcomes. What is the probability that (i) all three solve it, (ii) only Brenda and Christina solve it, (iii) none of them solves it, (iv) at least one of them solves it