In a particular city, a proportion 0.30 of the adult population report having graduated from college, a proportion 0.40 work in the professional services industry, and a proportion 0.6 subscribe to a video streaming service. With only this information, what is the largest that the proportion of the adult population possessing all three characteristics could be?

Answer options: 1.0 or 0.6 or 0.072 or 0.3 or 0

Suppose that you are told that the three characteristics in the previous question are mutually independent. What is the probability that a randomly chosen individual from this population will have all three characteristics?

Answer options: 1.0 or 0.12 or 0.6 or 0.240 or 0.072

The probability that an elderly patient arriving at University Hospital Emergency Department is found to have a cardiac arrhythmia is 0.2 and the probability that an elderly patient arriving at University Hospital Emergency Department is found to have a herniated lumbar disc is 0.3. The occurrence of these two diagnoses are independent.

Asnwer options:

What is the probability that an elderly patient arriving at the Emergency Department will be found to have neither condition?

0.38 or 0.5 or 0.25 or 0.56

What is the probability that an elderly patient arriving at the Emergency Department will be found to have either one condition or the other, but not both?

Asnwer options: 0.44 or 0.56 or 0.38 or 0.7 or none