To find the probability that Nicole will pull a red marble out of the bowl, we first need to determine the number of red marbles.

1. Total number of marbles: 120
2. Number of black marbles: 80
3. Number of white marbles: 28

To find the number of red marbles, we subtract the number of black and white marbles from the total number of marbles:

$$\text{Number of red marbles}=\text{Total marbles}-(\text{Number of black marbles}+\text{Number of white marbles})$$ $$\text{Number of red marbles}=120-(80+28)=120-108=12$$

Now, we have 12 red marbles. The probability of drawing a red marble is given by the formula:

$$\text{Probability (P)}=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$$ The number of favorable outcomes (drawing a red marble) is 12, and the total number of outcomes (total marbles) is 120. Therefore, the probability is:

$$P(\text{red marble})=\frac{12}{120}$$

To simplify this fraction:

$$P(\text{red marble})=\frac{1}{10}$$

Finally, we can express the probability in words:

The probability that Nicole will pull a red marble out of the bowl is $\frac{1}{10}$, or 10%.