Question

A meeting takes place between a diplomat and fourteen government officials. however four of the officials are actually spies. if the diplomat gives secret information to ten of the attendees at random, what is the probability that no secret information was given to the spies?

Answer 1

Number of attendees = 14
Number of spies = 4

Number of ways of selecting 10 attendees who are not spies from all the attendees = 14C10 = 1001
Number of ways of selecting 10 attendees from the non-spices attendees = 10C10 = 1
 Probability of sharing secret information with 10 non-spies = 1/1001 = 0.000999