Mimi has a bag of sweets containing 7 chocolates and 5 toffees. Robin has a bag of sweets containing 3 chocolates,
4 toffees and 2 boiled sweets. A sweet is taken at random from Mimi’s bag and put in Robin’s bag. A sweet is then
taken at random from Robin’s bag.
(i) Draw a fully labelled tree diagram based on the information given above. (3 marks)
(ii) Find the probability that the two sweets taken are a toffee from Mimi’s bag and a boiled sweet from Robin’s
bag. (2 marks)
(iii) The random variable X is the number of times a chocolate is taken. Draw up a table to show the probability
distribution of X. (3 marks)
(iv) Draw a probability distribution graph for X.