MATH 312 Midterm: Kansas State MATH 312 312t2s94

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A university has three colleges: a & s, engineering and education. There are 8200 students enrolled in the college. 4100 students take a course in a : 3300 students take a course in engineering. 1000 students take courses in a & s and engineering. 900 students take courses in a & s and education. 400 students take courses in engineering and education. How many students take courses in all three colleges? (8) 2. What is the probability that a card chosen at random from a deck of 52 cards is either a spade or a four? page 3 (9) 5. An urn contains 4 red balls and 6 green balls. What is the probability that both balls are red, given that one of the balls is red? (8) 6. A club has 5 men and 8 women. There are 4 o cers, only one of whom is a man.