1. The participants in a television quiz show are picked from a large pool of applicants with approximately equal numbers of men and women. Among the last 12 participants there have been only 2 women. If participants are picked randomly, what is the probability of getting 2 or fewer women when 12 people are picked?
2. Find the indicated binomial probability. Round to five decimal places when necessary. In a certain college, 20% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, what is the probability that exactly 6 belong to an ethnic minority?