A snowboarder competing in the Winter Olympic Games is trying to assess her probability of earning a medal in her event, the ladies’ halfpipe. Construct the appropriate sample space.
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Define event?
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Define exhaustive:
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Define mutually exclusive events?
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Recall that the snowboarder’s sample space is defined as S = {gold, silver, bronze, no medal}. Now suppose the snowboarder defines the following three events: • A ={gold, silver, bronze}; that is, event A denotes earning a medal; • B ={silver, bronze, no medal}; that is, event B denotes earning at most a silver medal; and • C ={no medal}; that is, event C denotes failing to earn a medal. a. Find A ∪ B and B ∪ C. b. Find A ∩ B and A ∩ C. c. Find Bc.
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Given the events and the probabilities in Table, calculate the following probabilities. P(B ∪ C) P(A ∩ C) P (B c)