Question
Given that someone prefers sweet tea, what is the probability that they also prefer salad, 32? Leave your answer as a reduced fraction. the total is 70
Answers
GPT-4o mini
To determine the probability that someone who prefers sweet tea also prefers salad, we need to know the number of people who prefer both sweet tea and salad as well as the total number of people who prefer sweet tea.
From your information:
- The number of people who prefer sweet tea and also prefer salad is 32.
- The total number of people who prefer sweet tea is 70.
The probability \( P \) that someone who prefers sweet tea also prefers salad can be calculated using the formula:
\[
P(\text{salad} | \text{sweet tea}) = \frac{\text{Number of people who prefer sweet tea and salad}}{\text{Total number of people who prefer sweet tea}}
\]
Substituting the values:
\[
P(\text{salad} | \text{sweet tea}) = \frac{32}{70}
\]
Now, we need to reduce this fraction. First, we find the greatest common divisor (GCD) of 32 and 70.
The GCD of 32 and 70 is 2. We can now simplify:
\[
\frac{32 \div 2}{70 \div 2} = \frac{16}{35}
\]
Thus, the probability that someone who prefers sweet tea also prefers salad is:
\[
\boxed{\frac{16}{35}}
\]
From your information:
- The number of people who prefer sweet tea and also prefer salad is 32.
- The total number of people who prefer sweet tea is 70.
The probability \( P \) that someone who prefers sweet tea also prefers salad can be calculated using the formula:
\[
P(\text{salad} | \text{sweet tea}) = \frac{\text{Number of people who prefer sweet tea and salad}}{\text{Total number of people who prefer sweet tea}}
\]
Substituting the values:
\[
P(\text{salad} | \text{sweet tea}) = \frac{32}{70}
\]
Now, we need to reduce this fraction. First, we find the greatest common divisor (GCD) of 32 and 70.
The GCD of 32 and 70 is 2. We can now simplify:
\[
\frac{32 \div 2}{70 \div 2} = \frac{16}{35}
\]
Thus, the probability that someone who prefers sweet tea also prefers salad is:
\[
\boxed{\frac{16}{35}}
\]