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In a television game show, the winner is asked to select three prizes from five different prizes, A, B, C, D, and E. (a) Describe a sample space of possible outcomes (order is not important). O S = {AAC, ABD, ABE, CCD, ACE, ADE, BCD, BBE, BDE, CEE} O S = {A, B, C} O S = {ABC, ABD, ABE, ACD, ACE, ADE, BCD, BCE, BDE, CDE} O S = {ACD, ACE, ADE, BCD, BCE, BDE} O S = {AAC, ABD, ABE, CCD, ACE, ADE, BCD, BCE, BDE, CDE} (b) How many points are there in the sample space corresponding to a selection that includes A? (c) How many points are there in the sample space corresponding to a selection that includes A and B? (d) How many points are there in the sample space corresponding to a selection that includes either A or B but not both?A fair die is rolled and the number that falls uppermost is observed. Let E and F be events In this experiment. (3} Determine whether E and F are mutually,f exclusive