Question 1 - Find some probabilities. Refer to Exercise II.1.

(a) Find the probability that Nunavut is selected given that a territory is selected.

(b) Are the events "province is selected" and "a territory is selected" independent? Explain why or why not.

(c) Are the events "a province is selected" and "a territory is selected" disjoint? Explain why or why not.

Question 2 - Canadian provinces and territories. Here is a list of the 13 provinces and territories in Canada with their populations according to the 2011 census:

Consider selecting a Canadian province or territory at random, where each province or territory is equally likely to be picked.

(a) Describe the sample space.

(b) Give the selection probabilities.

(c) What is the probability that Ontario is not selected?

(d) The three territories in Canada are Northwest Territories, Nunavut, and Yukon. What is the probability that a territory is selected?

(e) What events did you need to consider when you answered parts (c) and (d) of this exercise?