3.) There are two identical boxes A and B. Box A contains 4 red plugs and 3blue plugs. Box B contains 5 red plugs and 1 blue plug. The experiment isto choose a box at random and from this select two plugs one after anotherwithout replacing the plug that was selected first, then select a second plug.(i) What is the probability of selecting plugs of the same colour?(ii) What is the probability that the second plug selected is red?

Answered: Image /qna-images/answer/263dd4a9-c362-4d38-95be-81175ff8a591.jpg

Answered: 3.) There are two identical boxes A and…

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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You enrolled in a biology class and don’t know yet which Biology Professor and Biology Laboratory Assistant you will get. You like Professor Smith (Biology Professor), but the professor will be randomly selected from a group of 10 professors. You also like Ms. Jones, who is one of 5 Biology Laboratory Assistants. Laboratory Assistants are also randomly selected for classes. The probability of getting both Professor Smith and Ms. Jones for the same biology class = 1/50. What is the probability that you will get at least one of your instructor preferences (Professor Smith or Ms. Jones)?
Consider two boxes: box I contains 3 blue and 2 red marbles; box II contains 3 blue and 5 red marbles. A box is selected at random, and a marble is drawn from it at random. What is the probability that the selected marble is blue? Do NOT round your answer.
You have three bags of marbles. Bag A contains 1 red and 4 blue marbles, Bag B contains 2 red and 3 blue marbles, and Bag C contains 3 red and 2 blue marbles. (a) If one marble is drawn from each bag, find the probability that exactly two of the three marbles are blue. (b) If you randomly select one bag and draw one marble from it, find the probability that the marble is blue.
From a group of 10 choldren, a team of 5 (the red team) is randomly chosen. The remaining 5 children are on the blue team. Two of the children, Andy and Ollie, are best friends. What is the probability they get to be on the same team?
Q4. There are two urns. The first urn contains 3 white and 7 black balls; the second contains 6 white and 4 black balls. One ball is taken out of the first urn at random and and put it into the second urn, and then one ball was taken out of the second urn. (a) Find the probability that the removed ball is white. (b) It is known that the ball taken from the second urn was white. Find the probability that a white ball was transferred from the first urn to the second.
A classroom contains 10 girls and 8 boys. You need to randomly select some of the students for testing. You cannot select the same student twice.(a) What is the probability of randomly selecting a girl?(b) If you randomly selected two students, what is the probability of selecting two boys?(c) You randomly select three students. What is the probability that the third student you select is a girl, given the first two were boys?(d) What is the most likely outcome when randomly choosing two students: selecting two of the same gender (2 boys or 2 girls), or choosing a boy-girl pair? Explain your reasoning.
A card is drawn from a pack of 52 cards. What is the probability of getting a queen card? The probability of winning the first prize in a lottery of a girl is 8/100. If the total of 6000 tickets are sold, then how many tickets the girl purchased? There are 3 blue socks, 5 brown socks, and 4 white socks in a drawer. If two socks are picked up randomly, what is the probability that the selected socks are of the same color?
You have three jars containing marbles, as follows:jar 1 600 red and 400 whitejar 2 900 blue and 100 whitejar 3 10 green and 990 whitea. If you blindly select one marble from each jar,calculate the probability of obtaining(1) a red, a blue, and a green.(2) three whites.(3) a red, a green, and a white.(4) a red and two whites.(5) a color and two whites.(6) at least one white.b. In a certain plant, R = red and r = white. You self a redR/r heterozygote with the express purpose of obtaining awhite plant for an experiment. What minimum numberof seeds do you have to grow to be at least 95 percentcertain of obtaining at least one white individual?c. When a woman is injected with an egg fertilized invitro, the probability of its implanting successfully is20 percent. If a woman is injected with five eggssimultaneously, what is the probability that she willbecome pregnant? (Part c is from Margaret Holm.)
Solve it fast and correctly. I will rate accordingly with multiple votes. Need 100% correct answer. There are eight seats at a rectangular table - three on each of the longer sides and one on each of the shorter sides. Six adults and two children sit around the table, with each seating configuration equally likely. What is the probability that the two children will end up seating next to each other on one of the longer sides of the table?
The math professor gave the class a set of 12 review problems and toldthem that the midterm exam would consist of 6 of the 12 problems selected at random.If Mela memorized the solutions to 8 of the 12 problems but could not solve any ofthe other 4 problems, what is the probability that she got 4 or more problems correctin the exam?
Four roads lead away from the county jail. A prisoner has escaped from the jail and selects a road at random. If road I is selected, the probability of escaping is 1/8; if road II is selected, the probability of success is 16, if road II is selected, the probability of escaping is % and if road IV is selected, the probability of success is 9/10. D What is the probability that the prisoner will succeod in escaping? If the prisoner succeeds, what is the probability that the prisoner escaped by using road IV? By using road I?
Cheetahs account for 44% of big cats in zoos, with males accounting for 25%. . Also, 68% of the males are cheetah. A large cat is chosen at random. What is the probability that it is a male cheetah?

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