Final answer:
The probability that at least one male is selected from a jury for an interview is calculated by first determining the probability of selecting only females and then subtracting this from 1.
Step-by-step explanation:
The question requires us to calculate the probability that at least one male is selected for an interview from a jury consisting of 5 men and 7 women, with 3 jury members being selected at random. To find this probability, it is easier to calculate the probability of the opposite event - that no males are selected (all females are selected), and then subtract this value from 1.
First, calculate the probability of selecting all females. The number of ways to select 3 females out of 7 is denoted as C(7,3). The total number of ways to select 3 members from the entire jury of 12 is C(12,3). The probability of selecting all females is then P(all females) = C(7,3) / C(12,3).
Now, the probability that at least one male is selected is given by 1 - P(all females). Calculate this to get the final answer.