Solve the problem that involves probabilities with events that are not mutually exclusiveIn a class of 50 students, 21 are Democrats, 10 are business majors, and 5 of the business majors are Democrats. If one student is randomly selected from the class, find the probability of choosing a Democrat or a businessmajor.13O A. 25OB.2531OC.50O D. 10NextOvI 10:10aceresc&2#%24341.yW* 00

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A guy is gambling the dealer makes 21. The cards showing on the table are: 10 & 9, 8 & 9, Q & 5, and Q & 8. The dealer’s hand shows a 6, 2, 2, 4, and 2. Assuming that these are the only cards out of a single deck, what is thethe probability that the dealer makes 21 with the next “hit”
A box contains 3 red and 4 blue marbles. Two marbles are drawn one at a time, without replacement. Use a PROBABILITY TREE to answer the following questions. a. Find the probability that both marbles drawn are red. b. Find the probability that the first marble drawn was blue, given that the second was red.
Mr. Lang has 11 polo shirts and 3 is green. Mr. Norman has 8 polo shirts and 1 are green. Mr. Thomas has 4 polo shirts and 1 is green. If all three teachers wear a polo shirt on Wednesday, what is the probability that they will all wear the green one? O .85% 100% 19% O 13%
Charlie draws five cards out of a deck of 52. If he gets at least three of one suit,he discards the cards not of that suit and then draws until he again has five cards. For example, if he gets three hearts, one club, and one spade, he throws the two non hearts away and draws two more. What is the probability he will end up with five cards of the same suit?
A box contains 12 donuts. 5 chocolate, 4 vanilla, and 3 strawberry. If two donuts are randomly chosen and then eaten (without replacement) then find the probability of choosing a. a chocolate then a vanilla b. 2 strawberry c. a strawberry then a chocolate d. 2 chocolate
Alex has a bag of stuffed animals containing nine bears, six lions, and three monkeys. The probability that Alex will randomly pull out a bear and then a lion is .Using this probability, determine if the event of pulling out a bear and the event of pulling out a lion was independent, dependent, both, or neither. A. neither independent nor dependent B. dependent C. both independent and dependent D. independent
A company requires all job applicants to undergo drug testing for employment. If the applicant has used drugs the test has a 90% chance of a positive result. If the applicant has not used drugs the test has an 85% chance of a negative result. 4% of all applicants have used drugs. If an applicant has a positive test, what is the probability he or she has actually used drugs?
One quality characteristic for cabinet manufacturers is easy sliding drawers. A drawer is considered easy sliding if it does not get stuck when opened. His- torically, only 2% of the drawers get stuck. Ten drawers are randomly selected from a new lot. Each drawer is tested and all 10 must be easy sliding before the new lot is shipped. a. Find the probability that the lot will be shipped. b. Find the probability that at least one drawer will get stuck. c. Find the expected number of stuck drawers, the variance, and the standard deviation.
Ernie has a bag of candy that contains 8 peppermint patties and 12 caramels. If he reaches into the bag and pulls out one bar and then a second bar at random, what is the probability that they will both be peppermint patties? O 2/3 2/5 7/19 O 14/95
Alex, Natasha, and Juan fill orders in a fast-food restaurant. Alex incorrectly fills 20% of the orders he takes. Natasha incorrectly fills 12% of the orders she takes. Juan incorrectly fills 5% of the orders he takes. Alex fills 30% of all orders, Natasha fills 45% of all orders, and Juan fills 25% of all orders. An order has just been filled. A. If the order was filled by Juan, what is the probability that it was filled correctly? B. Who filled the order is unknown, but the order was filled incorrectly. What are the revised probabilities that Alex, Natasha, or Juan filled the order? C. Who filled the order is unknown, but the order was filled correctly. What are the revised probabilities that Alex, Natasha, or Juan filled the order?

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