A drawer contains n white and n black socks. Each white sock has aunique design, and each black sock has a unique design. Two socksare selected at random from the drawer. Every way of selecting thetwo socks is equally likely and the order in which the socks areselected does not matter.a. How many ways are there to select the two socks? (Reduce youranswer to the simplest algebraic expression.)b. How many ways of selecting the socks result in two socks ofthe same color being chosen? (Reduce your answer to thesimplest algebraic expression.)c. What is the probability of selecting two socks of the samecolor? (Reduce your answer to the simplest algebraicexpression.)

The provided information is as follows:The drawer contains white socks and black socks.The…

Answered: A drawer contains n white and n black…

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 jar of jellybeans has three different colors of jellybeans: green, red, and yellow. Let’s use symbols to represent each color: green = g, red = r, and yellow = y. If you choose a handful of four jellybeans from the jar, how many different combinations of jellybeans are possible? Assume there are at least four of each color.
Tell wether each problem represets a permutation or a combination. Then solve the problem. Brandon has 8 different plates with which to set the table. How many different ways can he place the plates? In how many ways can Mia choose 10 mugs fro a collection of 15? How many ways can 7 clarinet players be seated in 7 chairs in the concert band?
In a competition, two people will be selected from four finalists to receive the first and second prizes. The prize winners will be selected by drawing names from a hat. The names of the four finalists are Anne, Ben, Collin, and Daisy. The possible outcomes can be represented as follows. АВ, АС, AD, BC, BD, CD, ВА, СА, DA, CВ, DB, DC Here, for example, AD represents the outcome that Anne receives the first prize and Daisy receives the second prize. Let = event that Collin gets first prize Y = event that Daisy gets a prize Z= event that both price winners are boys.
An artist is selling children's crafts. Necklaces cost $2.25 each, and bracelets cost $1.50 per each.Select ALL the combinations of necklaces and bracelets that the artist could sell for exactly $12.00. * 5 necklaces and 1 bracelet 2 necklaces and 5 bracelets 3 necklaces and 3 bracelet 4 necklaces and 2 bracelets 3 necklaces and 5 bracelets 6 necklaces and no bracelets No necklaces and 8 bracelets This is a required question
List all the ways to select two members from S with repetition. The order in which the members are selected is not important. For example, DD is allowed and BA is the same selection as AB. S= {H, J, K, L, M} ....D Identify the list of all the ways to select two members from S, allowing for repetition. Choose the correct answer below. O A. HH, HJ, HK, HL, HM, JJ, JK, JL, JM, KK, KL, KM, LL, LM, MM O B. HH, HJ, HK, HL, HM, JK, JL, JM, KL, KM, LM OC. HH, HJ, HK, HL, HM, JH, JJ, JK, JL, JM, KH, KJ, KK, KL, KM, LH, LJ, LK, LL, LM O D. HK, HL, HM, JK, JL, JM, KL, KM
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In a competition, two people will be selected from four finalists to receive the first and second prizes. The prize winners will be selected by drawing names from a hat. The names of the four finalists are Anne, Ben, Collin, and Daisy. The possible outcomes can be represented as follows. АВ, АС, AD, BC, BD, CD, ВА, СА, DA, CВ, DB, DC Here, for example, AD represents the outcome that Anne receives the first prize and Daisy receives the second prize. Let = event that Collin gets first prize Y = event that Daisy gets a prize Z= event that both price winners are boys.
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