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A person chooses a number in a set containing the first 5 cubic numbers. Find the set representing the event E of choosing a number that can be evenly divided by 2. Give your answer as a set, e.g. {1,2,3}, using the cubed number (not the base number) and do not include E= in your answer.

Answer :

The first 5 cubic numbers are:

[tex]\lbrace1,8,27,64,125\rbrace[/tex]

To find the set that represents event E we have to choose the numbers from the set above that are evenly divided by 2; this means that we have to choose the numbers that are multiple of 2. We notice that this numbers are 8 and 64, therefore the set that represents event E is:

[tex]\lbrace8,64\rbrace[/tex]

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