Question
Suppose there are 15 chairs in a room. Ten of the chairs have cushions, and five do not. Of the chairs with cushions, seven are old, and three are new. What is the probability of sitting in a chair that has an old cushion?
Answers
GPT-4o mini
To find the probability of sitting in a chair that has an old cushion, we need to look at the total number of chairs and the number of chairs that have old cushions.
1. **Total number of chairs**: 15
2. **Chairs with cushions**: 10 (which includes old and new cushions)
3. **Chairs with old cushions**: 7
Now we can calculate the probability:
\[
\text{Probability of sitting in a chair with an old cushion} = \frac{\text{Number of chairs with old cushions}}{\text{Total number of chairs}}
\]
Substituting in the numbers:
\[
\text{Probability} = \frac{7}{15}
\]
Therefore, the probability of sitting in a chair that has an old cushion is \(\frac{7}{15}\).
1. **Total number of chairs**: 15
2. **Chairs with cushions**: 10 (which includes old and new cushions)
3. **Chairs with old cushions**: 7
Now we can calculate the probability:
\[
\text{Probability of sitting in a chair with an old cushion} = \frac{\text{Number of chairs with old cushions}}{\text{Total number of chairs}}
\]
Substituting in the numbers:
\[
\text{Probability} = \frac{7}{15}
\]
Therefore, the probability of sitting in a chair that has an old cushion is \(\frac{7}{15}\).