Question 1026946: There are 5 finalists A, B, C, D, E, in a lottery drawing. 3 of them are to be selected to win $10,000 prizes.
A. What is the sample space for this experiment?
B. Describe the event C and E win 10,000 prizes as a subset of the sample space.
C. Describe the event "neither A nor B wins a $10,000 prize".
Answer by robertb(5830)   (Show Source):
You can put this solution on YOUR website! A. The sample space would be the set of all subsets consisting exactly of three elements from A,B,C,D,E. There are C(5,3) = 10 elements in this sample space.
B. The event that C and E win 10,000 prizes is a subset of the sample space as follows:
{{C,E,A}, {C,E,B}, {C,E,D}}.
c. The event "neither A nor B wins a $10,000 prize" is a subset that consists only of one element: {{C,D,E}}.
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