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Nicole pulls a colored marble out of a bowl, choosing the marble at random. There are 120 marbles in the bowl, of which 80 are black, 28 are white, and the rest are red. Use words and numbers to describe the probability that she will pull a red marble out of the bowl. Show your work.(4 points) please write it in a simple way

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To find the probability that Nicole will pull a red marble out of the bowl, we first need to determine how many red marbles are in the bowl. We know the total number of marbles and the number of black and white marbles.

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

First, let's calculate the number of red marbles:

\[ \text{Number of red marbles} = \text{Total marbles} - (\text{Black marbles} + \text{White marbles}) \]

Substituting the known values:

\[ \text{Number of red marbles} = 120 - (80 + 28) = 120 - 108 = 12 \text{ red marbles} \]

Next, we find the probability of pulling a red marble. Probability is calculated as follows:

\[ \text{Probability of red marble} = \frac{\text{Number of red marbles}}{\text{Total number of marbles}} \]

Substituting the values we found:

\[ \text{Probability of red marble} = \frac{12}{120} \]

Now, we can simplify the fraction:

\[ \frac{12}{120} = \frac{1}{10} \]

So, the probability that Nicole will pull a red marble out of the bowl is:

1 out of 10, or 0.1, or 10%.

In words, there is a 10% chance that Nicole will pull a red marble from the bowl.