A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet.The letter selected will be recorded as the outcome.Consider the following events.Event X: The letter selected is found in the word "BAG".Event Y: The letter selected comes after "C".Give the outcomes for each of the following events.If there is more than one element in the set, separate them with commas.(a) Event"XorY":(b) Event"XandY":(c) The complement of the event Y:
Question
A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet.The letter selected will be recorded as the outcome.Consider the following events.Event X: The letter selected is found in the word "BAG".Event Y: The letter selected comes after "C".Give the outcomes for each of the following events.If there is more than one element in the set, separate them with commas.(a) Event"XorY":(b) Event"XandY":(c) The complement of the event Y:
Solution
(a) Event "X or Y": The outcomes for this event are the letters that are either in the word "BAG" or come after "C" in the alphabet. So, the outcomes are A, B, G, D, E, F.
(b) Event "X and Y": The outcomes for this event are the letters that are both in the word "BAG" and come after "C" in the alphabet. So, the outcome is G.
(c) The complement of the event Y: The outcomes for this event are the letters that do not come after "C" in the alphabet. So, the outcomes are A, B, C.
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