13
QuizMultiple Choice

Unit Test — Unit test

Question 13 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

At a local coffee shop, the manager has determined that 56% of drink orders are for specialty espresso drinks and 44% are for plain coffee. The manager also noted that 40% of customers order food. For customers who purchase the specialty espresso drinks, 35% also purchase a food item, and for customers who purchase plain coffee, 30% also purchase a food item. What is the probability that a randomly chosen customer will purchase a specialty espresso drink and a food item?

Answer
A
0.13
B
0.14
C
0.20
D
0.22

Explanation

The probability of ordering both a specialty espresso drink and food is the probability of ordering a specialty drink multiplied by the probability of food among specialty-drink customers: 0.56 × 0.35 = 0.196. Rounded to the nearest hundredth, this is 0.20, so the answer is 0.20.

AI-written and checked against the verified answer.

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