46. Ten cards are numbered 1 through 10. Three cards are selected. Find the probability all three cards are less than 5.
47. Of the applicants to Old Main University who scored above 1000 on the SAT, 2345 were in the top 25% of their high school class and 940 were not. If a student who made above 1000 on the SAT is selected at random, what is the probability the student is in the top 25% of his or her high school class.
48. In a batch of 100 microchips, three are defective. If two microchips are selected at random, what is the probability both are defective?
49. In a batch of 100 microchips, three are defective. If two microchips are selected at random, what is the probability one is defective and one is good?
50. In an honors class of 8 freshmen and 10 sophomores, 3 of the freshmen and 2 of the sophomores are National Merit Finalists. If a student is selected at random from the class, find the probability that:
(a) the student is a sophomore
(b) the student is a National Merit Finalist
(c) the student is a sophomore National Merit Finalist
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