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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?

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