A meeting takes place between a diplomat and seventeen government officials. However, ten of the officials are actually spies. The diplomat gives secret information to six of the attendees. Find the following probabilities. Enter your answer as a percent, rounded to the nearest thousandth.
a) What is the probability that the diplomat gave secret information to exactly six spies?
b) What is the probability that the half of the attendees who got the secret information were spies?
c) What is the probability that the diplomat gave secret information to exactly one spy?
d) What is the probability that no spies have got the secret information?
e) What is the probability that the diplomat gave secret information to at least one spy?
