Question

Nicole pulls a colroed marble out of a bowl, choosing da marble @ random. there 120 marbles in da bowl, of which 80 r black, 28 r white, n da rest r red. Use words n numbers 2 describe da probability dat she will put a red marble out for da bowl. Show ur work

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 there are in the bowl.

1. **Total marbles** in the bowl: 120
2. **Number of black marbles**: 80
3. **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%.