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?

Answer 1

To understand the complement of the event of the numbers you drew, we first need to clarify what the event is. The event in this case consists of drawing tiles numbered 3, 12, and 1.

The complement of an event includes all the outcomes in the sample space that are not included in the event. In this situation, the sample space consists of all the tiles in the bag, numbered 1 through 15.

The tiles that you drew (the event) are 3, 12, and 1. Therefore, the complement of this event includes all the tiles that are not among these three numbers.

So, the complement of the event would consist of the following tiles:

• 2
• 4
• 5
• 6
• 7
• 8
• 9
• 10
• 11
• 13
• 14
• 15

In short, the complement of the event of drawing tiles numbered 3, 12, and 1 is the set of numbers {2, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15}.