To find the probability that Nicole will pull a red marble from the bowl, we first need to determine how many red marbles there are in the bowl.
- Total marbles in the bowl: 120
- Number of black marbles: 80
- Number of white marbles: 28
Now, we can calculate the number of red marbles by subtracting the number of black and white marbles from the total number of marbles:
\[ \text{Number of red marbles} = \text{Total marbles} - (\text{Number of black marbles} + \text{Number of white marbles}) \]
Substituting the values:
\[ \text{Number of red marbles} = 120 - (80 + 28) \] \[ = 120 - 108 \] \[ = 12 \]
Now, we know there are 12 red marbles in the bowl.
Next, to find the probability of pulling out a red marble, we use the formula for probability:
\[ \text{Probability of red marble} = \frac{\text{Number of red marbles}}{\text{Total number of marbles}} \]
Substituting the values we have:
\[ \text{Probability of red marble} = \frac{12}{120} \]
To simplify the fraction:
\[ \frac{12}{120} = \frac{1}{10} \]
Therefore, the probability that Nicole will pull out a red marble from the bowl is:
\[ \text{Probability of red marble} = \frac{1}{10} \text{ or } 0.1 \]
In conclusion, the probability that Nicole pulls out a red marble is \( \frac{1}{10} \) or 10%.