The scenario is a bucket filled with 20 balls each labeled with the numbers 1 through 20. The experiment is closing your eyes and picking a random ball from the bucket. Define event A to be selecting an even number. Define event B to be selecting a number greater than or equal to 13. Answer the following questions (1)  Using set notation (i.e. the curly brackets), describe the sample space S and the events A, B, A OR B, A AND B, and Ac. (2)  Compute the probabilities P(A), P(B), P(Ac), P(A AND B), P(A|B), P(B|A) (3)  What is P (A) + P (Ac)? Intuitively, why do you think that you got that particular answer?

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