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g) Draw another copy of your Venn diagram. Shade the region corresponding to P(An B n C). Calculate P( A | (B n C) ). Show your work: show the equation you use, how you plug in, and your final answer. Provide your answer as a decimal, not a fraction. Round your answer to 4 decimal places. Hint: P(An (B n C) ) = P(A n B n C). Note you are being asked to shade one region and calculate a probability related to another region. Think about how these two regions are related to one another. The same probability rules that applied to a set of two events (e.g. P(A n B)) also apply to sets of three events (e.g. P(A n B n C)), as we saw in the Module 4 Review questions. h) In one sentence, explain what is meant by "mutually exclusive events" in your own words. In one sentence, explain what is meant by "independent events" in your own words. i) Are any two pairs of events (A, B), (A, C), or (B, C) mutually exclusive? Why or why not? Use I the mathematical definition of mutual exclusivity. Show your work. j) Are any two pairs of events (A, B), (A, C), or (B, C) independent? Why or why not? Use the mathematical definition of independence. Show your work.Suppose we roll a fair 20-sided die once. Let A = "the result is greater than 15". Let B = "the result is an odd number and less than 10". Let C = "the result is a multiple of 4". a) [3 marks] List the experimental outcomes associated with event A, event B, and event C. Use appropriate notation. Hint: Are you wondering what is meant by "appropriate notation"