Suppose that 20% of adults practices a gluten-free diet, 15% of adults practice a dairy-free diet, and 8% of adults practice both of these diets. one adult is selected at random.

a. given a random individual practices a glute-free diet, what is the probability they practice a dairy-free diet?

b. are events "practices a gluten-free diet" and "practices a dairy-free diet" independent?

c. given a random individual practices a dairy-free diet, what is the probability they do not practice a gluten free diet?

a. 0.4

b. Not independent events

c. 0.47

Step-by-step explanation:

Let A= Practices Gluten free diet

B= Practices Dairy free diet

A and B=  Practices Both diets

P(A)=0.20

P(B)=0.15

P(A and B)=0.08

a.

b.

The two events are independent if P(B/A) =P(B) or P(A/B)=P(A)

As, P(B/A) ≠P(B)

0.4≠0.15

So, the event gluten free diet and dairy free diet are dependent events.

c.

the answer is 0.5 mpm

step-by-step explanation:

the line goes half way through the square each time (which is 0.5 or half of course) so that would mean its 0.5 mpm.

m a t h w a y. c o m

step-by-step explanation: