Question in probabilityA box of nine golf gloves contains twoleft-handed and seven right-handedgloves :(i) If two gloves are randomly selectedfrom the box without replacement, whatis the probability that:(a) both gloves are right handed and(b) one is left-handed and oneright-handed glove?(ii) If three gloves are selected withoutreplacement, what is the probability thatall of them are left handed?(iii) If two gloves are randomly selectedwith replacement, what is the probabilitythat they would both be right-handed?

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Answered: A box of nine golf gloves contains two…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A producer of a certain type of electronic component ships to suppliers in lots of twenty. Supposethat 60% of all such lots contain no defective components, 30% contain one defective component, and10% contain two defective components. A lot is picked, two components from the lot are randomlyselected and tested, and neither is defective.(a) What is the probability that zero defective components exist in the lot?(b) What is the probability that one defective exists in the lot?(c) What is the probability that two defectives exist in the lot?
A bag contains 8 red marbles, 5 white marbles, and 7 blue marbles. You draw 4 marbles out at random, without replacement. What is the probability that all the marbles are red?The probability that all the marbles are red is ......What is the probability that exactly two of the marbles are red?The probability that exactly two of the marbles are red is ....What is the probability that none of the marbles are red?The probability of picking no red marbles is.....
Every student in an international school takes at least one of three foreign language classes. Twenty-nine students take French, 40 students take German, and 31 students take Chinese. There are 18 students who take both German and French, 12 take both Chinese and French, and 15 take German and Chinese. Only 5 students take all three. (a) Find the probability that a randomly selected student does not take German. (b) Find the probability that a randomly selected student is taking exactly one language class. (c) Find the probability that a student who takes German also takes Chinese.
A shipment of 10 microwave ovens contains two defective units. In how many ways can a restaurant buy three of these units and receive (a) no defective units, (b) one defective unit, and (c) at least two non defective units? (d) What is the probability of the restaurant buying at least two defective units ?
A class contains 30 students, Ten are Female (F) and Caviteno (C), 12 are male (M) and Caviteno; 6 are female and non-Caviteno; 2 are male and non-Caviteno A name is randomly selected from the class roster and it is female. What is the probability that the student is a Caviteno?
7.) At a local high school, 30% of the students are on a school sports team, 25% take at leastone Advanced Placement (AP) class, and 10% are on a sports team and take at least one APclass. If a student was randomly selected from this school, what is the probability that thestudent is on a sports team or takes at least one AP class?
4. Consider a family with three children. Given that at least one of the children is a boy, what is the probability that the three children children are boys? (assume that the probability of having a boy is 0.5, and that the gender of the second child is independent of the gender of the first child and of the gender of the third child)
In a population of 500 students, 60% are enrolled in math, 45% are enrolled in science, and 30% are enrolled in both math and science courses. If a student is randomly selected from the population, what is the probability that the student is enrolled in either math or science but not both, given that the enrollment in math and science courses is independent, and assuming all students are enrolled in at least one of the two courses?
The large bag of chocolates contains: 38 milk chocolates (MC), 31 Mr. Goodbars (G), 33, Krackels (K), and 33 Special Darks (S). We are going to randomly select one candy and put it back (replace it); then, we are going to select a second candy. What is the probability that the first chocolate is a Krackel and the second is a Special Dark?
It has been stated that 40% of Maine Coon cats are polydactyl.2 It has also been stated that 35% of Maine Coons are brown tabbies, 12% are solid color, 15% are bicolor, and 18% are calico.(a) What is the probability that if you choose 12 unrelated Maine Coon cats randomly, 7 will be polydactyl?(b) What is the probability that if you choose 15 unrelated Maine Coon cats randomly, 8 will be brown tabbies, 2 will be solid color, 1 will be calico, and none will be bicolor? (c) If you choose 12 unrelated Maine Coon cats, what are the expected number and the standard deviation of cats that are not brown tabbies?
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

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