1. (3 marks) If you draw a Smarties candy at random from a box, the candy will have one of eight colours. The probability of drawing each colour depends on the proportion of each colour among all candies made. Suppose the distribution of colours among all Smarties made is as follows: Probability 0.14 0.11 0.10 0.10 0.13 0.16 0.12 0.14 Calculate each of the following probabilities. Make sure to show all your work, and include any explanations where necessary. 3. Jim only likes green Smarties. In fact, he won't eat a Smartie unless it is green. If he draws a Smartie at random from the box, what is the probability that it will not be green? b. Kelly is planning an event with a colour theme of \"pink and red,\" and she'd like to include candy goodie bags that follow this theme. She buys an extra large box of Smarties. What proportion of Smarties in the box can she expect to be either pink or red? c. Taylor doesn't like orange and yellow Smarties, since she nds them to be a bit sour. lfshe draws a Smartie at random from a box, what is the probability that it will be neither orange nor yellow? (Hint: This question wiii take a bit of extra work.)