At a gathering with 5 married couples, 5 individuals are picked at random. What is the probability that the chosen group includes at least two complete couples?

Explanation

To find the probability of selecting at least two couples among the 5 chosen people: First, choose 2 couples out of 5, which is 5C2 = 10 ways. Then, select 1 additional person from the remaining 6 individuals (3 couples), which is 6C1 = 6 ways. Total favorable outcomes = 10 * 6 = 60. The total number of ways to choose any 5 people from 10 is 10C5 = 252. Therefore, the probability = 60/252 = 5/21.