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Question # 1 The probability that a student passes Mathematics is 2/3 and for English is 4/9. If the probability of passing at least one course is...
. Question # 1 The probability that a student passes Mathematics is 2/3 and for English is 4/9. If the probability of passing at least one course is 4/5, what is the probability that: a. He will pass both courses. b. He will fail both courses. Question # 2 From a group of 4 men and 5 women, how many committees of size 3 are possible? a. With no restrictions. b. With 1 man and 2 women. c. With 2 men and 1 women, if a certain man must be on the Committee. Question # 3 A paint store chain provides and sells latex and semigloss paint. Based on long range sales, the probability that a customer will purchase latex is 0.75. Of those that purchase latex paint, 60% also purchase rollers. But 30% of semigloss buyers purchase rollers. A randomly selected buyer purchases a roller and a can of paint. What is the probability that the paint is latex?Question # 4 The probability that an industry will locate at Lahore is 0.7, the probability that it will locate at Karachi is 0.4 and the probability that it will locate in either of the two cities or both is 0.8. What is the probability that it will locate: a. In both cities. b. In neither city. Question # 5 How many ways are possible? a. If six people are be lined up to get on a bus. b. If three specific persons out of six insist on following each other. c. If two specific persons out of six refuse to follow each other. Question-6 A person owns 2 cars, one a compact and one a standard model. About ¾ of the times he uses compact car to travel to work and gets home by 5:30 about 75% of the times. If he uses standard car he gets home by 5:30 about 60% of the times. If he gets home by 5:35, what is the probability that he used the compact car?
