Question

At a convenience store, you have a choice of five diet drinks, 10 regular drinks, six bags of fat-free chips, and 10 bags of regular chips. What is the probability that you will buy a regular drink and a regular bag of chips? a) 1/2, b) 2/3, c) 5/8. d) 5/12​

Answer 1

Answer:

d) 5/12​

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Drinks:

Five diet, 10 regular.

Probability of a regular drink:

10/(10+5) = 10/15 = 2/3

Regular bag of chips:

6 fat-free, 10 regular

Probability of a regular bag of chips:

10/(10+6) = 10/16 = 5/8

What is the probability that you will buy a regular drink and a regular bag of chips?

Drink and chips are independent events, which means that we just multiply the probabilities. So

$\frac{2}{3}*\frac{5}{8} = \frac{2*5}{3*8} = \frac{10}{24} = \frac{5}{12}$

The correct answer is given by option d.