II. Determine whether the events are mutually exclusive, non-mutually exclusive, independent, ordependent events.1) A rental agency has 12 white cars, 8 gray cars, 6 red cars, and 3 green cars for rent. Mr. Durantrents a car, returns it because the radio is broken, and gets another car. What is the probability thatMr. Durant is given a green car and then a gray car?2) A fair die is tossed once and a letter is chosen from the word STATISTIC at random. Find theprobability that the number obtained is greater than 1 and the letter obtained is A.3) A bag contains 4 blue and 8 red balls. If two balls are drawn at random from the bag withoutreplacement, what is the probability that one ball is blue and the other is red?4) A box of chocolates contains 10 milk chocolates, 8 dark chocolates, and 6 white chocolates.Juanico randomly chooses a chocolate, eats it, and then randomly chooses another chocolate.What is the probability that Juanico chose a milk chocolate, and then, a white chocolate?5) In Infant Jesus School, 22% of the students play basketball and 19% play volleyball and 15% playbasketball and volleyball. What is the probability that a student plays volleyball or basketball?

Answered: Image /qna-images/answer/c65db5e5-4376-4bb5-81c7-6c0f512354ef.jpg

Answered: II. Determine whether the events are…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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3. Four cards are drawn at random from a pack of 52 cards. Find the probability that (i) They are a king, a queen, a jack and an ace. (ii) Two are kings and two are aces. (iii) All are diamonds. (iv) Two are red and two are black. (v) There is one card of each suit. (vi) There are two cards of clubs and two cards of diamonds.
1. In a class of ten students, three wear eyeglasses. If two students are selected at random, what is the probability that: a. One wears eyeglasses b. At least one wears eyeglasses c. Neither of the two wears eyeglasses
2- There are 22 families living in the Willbrook Farms Development. Of these families, 12 prepared their own federal income taxes for last year, Four had their taxes prepared by a local professional, and the remaining Six by H&R Block.a. What is the probability of selecting a family that prepared their own taxes? b. What is the probability of selecting two families, both of which prepared their own taxes? c. What is the probability of selecting three families, all of which prepared their own taxes? d. d. What is the probability of selecting two families, neither of which had their taxes prepared by H&R Block?
In five card poker, a straight consists of five cards with adjacent denominations ( e.g. 9 of clubs, 10 of hearts, jack of hearts, queen of spades, and king of clubs). Assuming that aces can be high or low, if you are dealt a five-card hand, what is the probability that it will be a straight with high card 10? What is the probability that it will be a straight? what is the probability that it will be a straight flush ( all cards in the same suit)?
Lars has 9 different math textbooks, 12 different chemistry books and 6 different biology books. He arranges these twenty-seven books randomly on a shelf. What is the probability that books of the same subject are all together? A. B. O C. O D. O E. 1 3! 9!12!6! 9!12!6! 27! 3!9!12!6! 27! 1 9!12!6!
Five vitamin and six sugar tablets identical in appearance are in a box. Nothing else is in the box. One tablet is taken at random and given to Person A. One-Draw problems: What is the probability that in a single draw 1. Person A was given a sugar tablet or a vitamin tablet? 2. Person A was given a lottery ticket? 3. Person A was given a vitamin tablet?
1. When a single card is drawn from a well-shuffled deck of cards, what is the probability that it will be а. асе? b. red ace? c. a diamond? d. an ace or a diamond? e. ace of diamonds? f. ace given diamond ?
You and two best friends of yours are invited to a party of 10 people (including the host). a. Suppose the 10 people are randomly seated along the dining table. What's the probability that you and your best friends happen to sit next to each other, i.e., no one sits in between any of the three of you? b. After the dinner, four people are drawn randomly to play video games. What's the probability that at least one of your best friends are picked?
A committee is to consist of a chair, three hagglers, and five do-nothings. The committee is formed by choosing randomly from a pool of 11 people and assigning them to the various "jobs." 1. How many different committees are possible? 2. Norman is eager to be the chair of the committee. What is the probability that he will get his wish? 3. Norman's girlfriend Norma is less ambitious and would be happy to hold any position on the committee provided that Norman is also selected as a committee member. What is the probability that she will get her wish and serve on the committee? 4. Norma does not get along with Oona (who is also in the pool of prospective members) and would be most unhappy if Oona were to chair the committee. Find the probability that all Norma's wishes will be fulfilled: She and Norman are on the committee, and it is not chaired by Oona.
8. Riena has six unmarked CDs in a box, where each is dedicated to exactly one of English, mathematics, French, American history, chemistry, and computer science. Answer the following questions: a. If she chooses a CD at random, what is the probability she chooses the English CD? b. What is the probability that she chooses a CD that is neither math nor chemistry? ah a player rolls two

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