Solve the problem.
A one-week study revealed that 60% of a warehouse store's customers are women and that 30% of women customers spend at least $250 on a single visit to the store. Find the probability that a randomly chosen customer will be a woman who spends at least $250.
.18
.90
.50
.36

We are given the following probabilities:

- 60% of the store's customers are women, which means $ P(\text{Woman}) = 0.60 $.
- 30% of women customers spend at least $250, which means $ P(\text{Spends at least \$250 | Woman}) = 0.30 $.

We want to find the probability that a randomly chosen customer is a woman who spends at least $250. This is the joint probability, which can be found using the rule of multiplication for conditional probability:

\[
P(\text{Woman and Spends at least \$250}) = P(\text{Woman}) \times P(\text{Spends at least \$250 | Woman})
\]

Substitute the values:

\[
P(\text{Woman and Spends at least \$250}) = 0.60 \times 0.30 = 0.18
\]

Thus, the probability that a randomly chosen customer is a woman who spends at least $250 is $ \boxed{0.18} $.

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Would you like further details or clarification? Here are some related questions to explore:

1. What is the probability that a randomly chosen customer is not a woman?
2. How would the probability change if 50% of women spent at least $250?
3. How do you calculate the probability if we add men into the mix with their own spending probability?
4. What is the difference between conditional probability and joint probability?
5. If we know a customer spent $250, what is the probability that they are a woman?

**Tip:** Always consider if the given percentages are conditional or joint probabilities to avoid confusion.

A one-week study revealed that 60% of a warehouse store's customers are women and that 30% of women customers spend at least $250 on a single visit to the store. Find the probability that a randomly chosen customer will be a woman who spends at least $250.

Calculate the probability that a randomly selected customer is a woman who spends at least $250, using conditional probability. This study shows that 60% of the store's customers are women, and 30% of those women spend at least $250. Learn how to solve using the multiplication rule for conditional probability.

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