Question

PLEASE HELP!! (only need answers to B and C)

Answer 1

Answers:
(b) 4/9 (0.44)
(c) The events are not independent.

Explanations:
(b) The probability of hamburgers given diet soda is:
P(hamburgers | diet soda) = 40/90 = 4/9 (0.44)

(c) 
P(hamburgers) = 130/250 = 13/25
Whereas
P(diet soda) = 4/9
$\frac{4}{9} \neq \frac{13}{25}$

Since both probabilities are not equal, hence the events are not independent.

ALWAYS REMEMBER: Events are independent if their probabilities are equal.
-i