Question

Given that someone prefers sweet tea 32, what is the probability that they also prefer salad? Leave your answer as a reduced fraction. the total is 70

Answers

GPT-4o mini
To find the probability that someone who prefers sweet tea also prefers salad, we need to know two things: the number of people who prefer sweet tea and the number of people who prefer both sweet tea and salad.

From your statement, we know that 32 people prefer sweet tea, but we need the number who prefer both sweet tea and salad to calculate the probability. Without that information, we cannot compute the probability accurately.

However, if you can provide the number of people who prefer both sweet tea and salad, we can use the following formula for conditional probability:

\[
P(\text{salad | sweet tea}) = \frac{P(\text{salad and sweet tea})}{P(\text{sweet tea})}
\]

Assuming you have that value, say \( x \), the general formula for the probability of preferring salad given that someone prefers sweet tea would be:

\[
P(\text{salad | sweet tea}) = \frac{x}{32}
\]

Finally, remember to express the result as a reduced fraction. Please provide the number of people who prefer both sweet tea and salad so that I can help you calculate it.