Unformatted text preview: is chosen at random. What is the probability of this person being male? Assume that there are equal numbers of males and females. 8. 60% of the families in a certain community own their own car, 30% own their own home, and 20% own both their own car and their own home. If a family is chosen at random, what is the probability owns a car or a house but not both? 9. Toss coin for three times. Let A i be the event that we get the same outcome in the two tosses excluding the ith one, 1 ≤ i ≤ 3 (i.e. A 1 is the event that we get the same outcomes in the second and the third tosses; similar for A 2 and A 3 ). Show that A i are pairwise independent but not independent. 10. In a class there are 4 freshmen boys, 6 freshman girls, and 6 sophomore boys. How many sophomore girls must be present if sex and class are to be independent when a student is selected at random. 1...
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 Fall '09
 Jin
 Probability, Probability theory, Boy, Dice

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