At a local coffee shop, 10% of customers order decaf coffee and 30% are students. Given that 5% of students order decaf coffee, what is the probability that a randomly selected customer is a student AND orders decaf coffee? Round to 3 decimal places.

Question

Marely Mack

Mathematics

23 May, 03:47

At a local coffee shop, 10% of customers order decaf coffee and 30% are students. Given that 5% of students order decaf coffee, what is the probability that a randomly selected customer is a student AND orders decaf coffee? Round to 3 decimal places.

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Answers (1)

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Phoenix Vaughan · Answer 1

0.015

Step-by-step explanation:

We know that 30% of the customers are students, and 5% of these students order decaf coffee, so we can say that 5% of that 30% (=1.5%) is the percentage of customers that are students and order decaf coffee.

So, the probability of randomly selecting a customer that is a student and orders decaf coffee is 1.5% = 0.015

The percentage of customers that order decaf coffee (10%) is not applied in this solution, as we can have the percentage of students that order decaf coffee just using the percentage of customers that are students, and the percentage of students that order decaf coffee.