Question

5
select the correct answer.
sue chooses a dress and necklace to wear when she performs at a violin recital. the probability that sue selects a black dre
sue selects a gold necklace is 30%. what is the probability that sue chooses a black dress and a gold necklace?
a. 35%

b. 12%

c. 70%

d. 50%

Explanation:

Step1: Identify the missing information

Wait, the problem statement about the probability of choosing a black dress is incomplete. But assuming that the probability of choosing a black dress is, for example, if we assume independence (though the problem likely has a typo or missing info, but looking at the options, let's check the logic. Wait, maybe the original problem had the probability of black dress as 40%? Wait, no, the user's image might have a typo. Wait, but looking at the options, 30% (necklace) and if we multiply by a reasonable number. Wait, maybe the probability of black dress is 40%? Then 0.3 0.4 = 0.12 (12%), which is option B. Let's assume that the probability of black dress is 40% (since 30% 40% = 12%).

Step2: Apply the multiplication rule for independent events

If the events (choosing dress and necklace) are independent, then \( P(\text{black dress and gold necklace}) = P(\text{black dress}) \times P(\text{gold necklace}) \). Assuming \( P(\text{black dress}) = 40\% = 0.4 \) and \( P(\text{gold necklace}) = 30\% = 0.3 \), then \( 0.4 \times 0.3 = 0.12 = 12\% \).

Answer:

B. 12%