A company ran a clinical trial of a new drug. 774 volunteers participated in the study. Of these participants, 495 indicated that the drug helped relieve their symptoms.

Assume that the efficacy of the drug is the same for any group of people with these symptoms.

If we were to administer this drug to a random sample of 6 individuals with symptoms, what is the probability that

... the drug relieves symptoms for all of them?

... the drug fails to relieve symptoms for at least one of them?

... the drug relieves symptoms for exactly 2 of them?

(round to four decimal places)