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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1. Maria has eight black marbles, fourteen clear marbles, and twelve blue marbles in a bag. If she picks two marbles at random, without replacement, what is the probability that she will select a blue marble first, then a clear marble? 2. At a local restaurant, 55% of people order an appetizer to start while 25% order a salad to start. Also, 18% choose both an appetizer and a salad to start. What percentage of people order a salad or an appetizer to start?
12. A bag contains 5 black and 7 white balls. A ball is drawn out of it and replaced in the båg. Then a ball is drawn again. What is the probability that (i) both the balls drawn were black, (ii) both were white, (iii) the first ball was white and the second black, (iv) the first ball was black and the second white.
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 ?
The chess clubs of two schools consist of, respectively, 8 and 9 players. Four members from each club are randomly chosen to participate in a contest between the two schools. The chosen players from one team are then randomly paired with those from the other team, and each pairing plays a game of chess. Suppose that Rebecca and her sister Elise are on the chess clubs at different schools. What is the probability that either Rebecca or Elise will be chosen to represent her school?
1. A bag contains 3 red, 5 blue, 7 black and 9 white identical balls. If a ball is drawn randomly from the bag, find the probability that it may be either red or blue or white. Are the events mutually exclusive or independent? 2. Two unbiased dice are rolled. Find the probability that the sum of the numbers on the two faces is either divisible by 3 or divisible by 4. 3. A magician takes out two cards from a deck of cards, one after the other, without replacement. What is the probability of getting an ace of spade, and a card of heart, as first and second card, respectively? 4. A biased die is thrown thirty times and the number of sixes seen is eight. If the die is thrown a further twelve times find: a. the probability that a six will occur exactly twice; b. the expected number of sixes;
3. Which of the following events has the highest probability of occurring: a. At least two 6 shows up when 6 fair dice are rolled. b. At least four 6's shows up when 12 fair dice are rolled. c. At least six 6's shows up when 18 fair dice are rolled. Or do they all have the same probability? Prove your answer.
A snack-size bag of M&Ms candies is opened. Inside, there are 12 red candies, 12 blue, 7 green, 13 brown, 3 orange, and 10 yellow. Three candies are pulled from the bag in succession, without replacement.What is the probability that the first two candies drawn are yellow and the third is blue?
1- A teenis player misses his first serve 36% of the time and misses both his first and second serves 5% of the time. If he makes both serves 35% of the time, what is the probability that he makes the second serve given that he misses at least one of the serves? 2- Joey's wedding reception had 60 members of his family, 30 members of his wife's family and 20 friends in attendance. A group of 6 was selected by the DJ to participate in a dance. What is the probability that at most 2 of their friends were selected?
5. A warehouse contains 10 printing machines, 4 of which are defective. A company randomly selects five of the machines for purchase. What is the probability that all five of the machines are nondirective?
4. Teddy lives life on the edge and gets dressed randomly every morning. This morning, he is randomly choosing a pair of shoes, a pair of pants, and a shirt from his closet which contains the following colors and corresponding quantities: Shoes: black (2) and brown (3) Pants: black (3) and brown (1) Shirt: white (2), brown (4) and black (6) What is the probability that Teddy randomly chooses shoes, pants and a shirt of the same color? A. 1/5 В. 2/5 С. 120 A B C D D. 3/20
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.
2. Cards. A deck of 52 cards is shuffled and dealt. Find the probabilities of the following events: a) the tenth card is a queen; b) the twentieth card is a spade; c) the last five cards are spades; Candom Variables d) The last king appears on the 48th card.

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