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A bag has 15 numbered tiles inside, numbered 1–15. Without looking, you reach in and pull out one tile at a time, without returning the tile to the bag. The numbers you draw are 3, 12, and 1. Which of the following options describes the complement of the event of the numbers you drew?

Option #1: {empty set}


Option #2: {1,3,12}


Option #3: {2,4,5,6,7,8,9,10,11,13,14,15}


(1 point)
Option #
describes the complement of the event.

1 answer

The complement of the event of the numbers you drew (which are 3, 12, and 1) consists of all the numbers that were not drawn.

Since the total set of tiles is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15} and you drew the numbers 1, 3, and 12, the complement of the event will include all the other numbers not drawn, which are:

{2, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15}

Therefore, the correct option is:

Option #3: {2, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15}.