# A probability that any given person in a certain population is nearsighted is 0.15.

## A probability that any given person in a certain population is nearsighted is 0.15.

6. A probability that any given person in a certain population is nearsighted is 0.15.The probability that a person is color blind is 0.07. The probability that a person isboth nearsighted and color blind is 0.03.a.) What is the probability that a person selected from this population is eithernearsighted or color blind (or both)?b.) What is the probability that a person is suffering from neither of these twovisual impairments?c.) What is the probability that a given person is nearsighted, but not color blind?d.) What is the probability that a person is colorblind given that he or she isnearsighted?e.) What is the probability that a person is nearsighted given that he or she is colorblind?7. At a certain boysâ boarding school the following are all true statements:30% of the boys are from the northeast.25% of the boys are from the midwest25% of the boys are from the south20% of the boys are from the westOf the northeastern boys, 20% are in the chess club and 40% are on thedebate teamOf the midwestern boys, 40% are in the chess club and 30% are on thedebate teamOf the southern boys, 30% are in the chess club and 60% are on the debateteamOf the western boys, 50% are in the chess club and 10% are on the debateteama.) If a boy is chosen from the school at random, what is the chance he is in thechess club?b.) If a boy is chosen from the school at random, what is the chance he is on thedebate team?c.) If a boy is chosen from the chess club at random, what is the chance he is fromthe west?d.) If a boy is chosen from the debate team at random, what is the chance he isfrom the northeast?8. A high school student is taking five courses and has homework in each of thesubjects every day. She insists on finishing the homework for one subject beforestarting on the next.a.) On any given day, in how many ways can she choose in what order she will dothe five homework assignments?b.) On Tuesdays, she has study hall during the last period in the afternoon, and shecan finish any two of the homework assignments during study hall. In how manyways can she choose which two assignments to do (regardless of what order shedoes them)?9. There are 15 jobs that need to get done and 25 people available to do them (andcapable of doing any of them). You must assign each job to just one person, andyou are not going to assign more than one job to any one person. In how manyways can you assign the 15 jobs?10. You must cancel your trip if any of three different problems come up. Theprobability of the first problem coming up is 0.20. For the second and thirdproblems the probabilities are 0.25 and 0.10 respectively. Assume the probabilitiesof the three problems are mutually independent. What is the probability you cango on your trip?

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