Question

At a coffee shop, 70% of the customers buy a coffee drink, 30% buy food, and 20% buy both a coffee drink and food. Are buying food and buying a coffee drink independent events? How do you know?

Answer 1

Answer:

No

Step-by-step explanation:

For events to be independent:

P(A^B) = P(A)×P(B)

P(Food & Coffee) = 0.2

P(Food) = 0.3

P(Coffee) = 0.7

Since,

0.2 = 0.3×0.7

0.2 = 0.21 is a false statement. They are not independent