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Question
a bag has six balls labeled a, b, c, d, e, and f. one ball will be randomly picked, and its letter will be recorded as the outcome. give the sample - space describing all possible outcomes. then give all of the outcomes for the event of choosing the letter d. if there is more than one element in the set, separate them with commas. sample space: event of choosing the letter d:
Step1: Define sample space
The sample space is the set of all possible outcomes. Here, the balls are labeled A, B, C, D, E, F. So the sample space S = {A, B, C, D, E, F}.
Step2: Identify event outcomes
The event is choosing the letter D. The outcomes for this event are just the element D. So the event set for choosing D is {D}.
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Sample space: {A, B, C, D, E, F}
Event of choosing the letter D: {D}