Manuela and Stephen survey 250 people at a sporting event and ask if they prefer hamburgers or hot dogs, and if they prefer regular or diet soda.
Regular Soda Diet Soda Total
Hamburgers 90 40 130
Hot Dogs 70 50 120
Total 160 90 250
a. What is the probability that someone who prefers diet soda will also prefer hamburgers?

b. What is the probability that someone who prefers hot dogs will also prefer regular soda?

c. Are preferring diet soda and preferring hamburgers independent events? Explain.

d. Are preferring regular soda and preferring hot dogs independent events? Explain.