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? (I got 1.700 and was incorrect)

b) What is the probability that the half of the attendees who got the secret information were spies? (I got .970 and was incorrect)

c) What is the probability that the diplomat gave secret information to exactly one spy? (I got .081 and was incorrect)