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.

Answer the following two questions based on this information.

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

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?