b. The M&M website used to publish the average proportion of each colour in a bag of M&Ms. This was published as 30% brown, 20% yellow, 20% red, 10% orange, 10% green and 10% blue. We will assume this distribution is correct for the purpose of this question.

i. You purchase a bag of M&Ms and one M&M is selected at random. What is the probability it is either red or green?

ii. You purchase two bags of M&Ms and one M&M is randomly selected from each bag. What is the probability that one is red and the other is green?

iii. Are the events selecting a red M&M from one bag and a green from the other, dependent or independent events? Explain.

iv. If a bag of M&Ms contains 40 M&Ms how many of each colour would you expect in the bag?

(2 marks)

v. You open a bag of M&Ms and count the number of each colour. Would you expect the count for each colour to match with your answer in part iv.? Why or why not?

(2 marks)