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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) Short answer

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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%.