A bag contains 4 marbles: 2 red, 1 blue, and 1 green. Amy removes one marble at a time from the bag. We need to determine which of the given sequences of colors is a possible outcome.

1. Problem Description

A bag contains 4 marbles: 2 red, 1 blue, and 1 green. Amy removes one marble at a time from the bag. We need to determine which of the given sequences of colors is a possible outcome.

2. Solution Steps

We examine each option to see if the sequence of colors is possible given the initial distribution of marbles.

A) Red -> blue -> red -> blue

Initially, there are 2 red, 1 blue, and 1 green. After drawing a red marble, there is 1 red, 1 blue, and 1 green. After drawing a blue marble, there is 1 red and 1 green. After drawing a red marble, there is 1 green. After drawing a blue marble is impossible, since there are no blue marbles left. Therefore, this option is not possible.

B) Green -> blue -> red -> green

Initially, there are 2 red, 1 blue, and 1 green. After drawing a green marble, there are 2 red and 1 blue. After drawing a blue marble, there are 2 red. After drawing a red marble, there is 1 red. After drawing a green marble is impossible since there are no green marbles left. Therefore, this option is not possible.

C) Blue -> red -> red -> green

Initially, there are 2 red, 1 blue, and 1 green. After drawing a blue marble, there are 2 red and 1 green. After drawing a red marble, there is 1 red and 1 green. After drawing a red marble, there is 1 green. After drawing a green marble, there are no marbles left. This option is possible.

D) Red -> blue -> green -> blue

Initially, there are 2 red, 1 blue, and 1 green. After drawing a red marble, there is 1 red, 1 blue, and 1 green. After drawing a blue marble, there is 1 red and 1 green. After drawing a green marble, there is 1 red. After drawing a blue marble is impossible since there are no blue marbles left. Therefore, this option is not possible.

3. Final Answer

C) Blue -> red -> red -> green