A game has two four-sided dice having the numbers 3, 6, 9, and 2 on their faces. Outcomes in the sample space are pairs such as (3,6) and (2,2). a. How many elements are in the sample space? b. Express the event "the total showing is even" as a set. c. What is the probability that the total showing is even? d. What is the probability that the total showing is greater than 6? Identify the problem solving method that should be used. Choose the correct answer below. OA. The Analogies Principle OB. The Draw Pictures Principle C. The Be Systematic Principle D. The Choose Good Names for Unknown Strategies Principle a. How many elements are in the sample space? 16 b. Express the event "the total showing is even" as a set. ((3.3).(3.9),(6,6).(6.2).(9,3).(9.9).(2.6),(2,2)) (Type an ordered pair. Use a comma to separate answers as needed.) c. What is the probability that the total showing is even? (Type an integer or a simplified fraction).