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.

Question

Show your work in a short, simple easy, REALLY EASY way.

Answer 1

To find the probability that Nicole will pull a red marble from the bowl, we first need to determine how many red marbles are in the bowl.

1. Total marbles in the bowl: 120
2. Black marbles: 80
3. White marbles: 28

Now, we can calculate the number of red marbles:

\[ \text{Red marbles} = \text{Total marbles} - (\text{Black marbles} + \text{White marbles}) \]

\[ \text{Red marbles} = 120 - (80 + 28) \]

\[ \text{Red marbles} = 120 - 108 = 12 \]

Now, we know there are 12 red marbles.

Next, we calculate the probability of pulling a red marble. The probability is given by the formula:

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

Substituting the numbers we have:

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

We can simplify this fraction:

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

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

\[ \frac{1}{10} \text{ or } 0.1 \text{ or } 10% \]

In words: There is a 10% chance that she will pull a red marble from the bowl.