Question

A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.


1 blue marble, 2 green marbles, 3 yellow marbles, and 3 red marbles.
Which best describes the complement of choosing a red marble?
choosing a green or blue marble
choosing any marble
choosing a blue, green, or yellow marble
choosing a yellow marble

Answer 1

To find the complement of choosing a red marble, we need to consider all the possible outcomes that do not result in selecting a red marble.

The bag contains the following marbles:
- 1 blue marble
- 2 green marbles
- 3 yellow marbles
- 3 red marbles

The total number of marbles is \(1 + 2 + 3 + 3 = 9\) marbles.

The complement of choosing a red marble would be choosing any marble that is not red. This includes the blue, green, and yellow marbles.

So, the best description of the complement of choosing a red marble is:

**choosing a blue, green, or yellow marble.**