A drawer contains a dozen brown socks and a dozen black socks, all unmatched. A man takes socks out at random in the dark. a) How many socks must he take out to be sure that he has at least two socks of the same color? b) How many socks must he take out to be sure that he has at least two black Socks?

A drawer contains a dozen brown socks and a dozen black socks, all unmatched. A man takes socks out at random in the dark. a) How many socks must he take out to be sure that he has at least two socks of the same color? b) How many socks must he take out to be sure that he has at least two black Socks?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: Tom has 16 blue pencils, of which 12 are striped dark blue and light blue, and the rest are solid…

A: There are 16 blue pencils and 9 red pencils out of which 12 are striped dark blue and light blue and…

Q: Fifty (50) students in a school played Basketball and Football. Every student plays at least one of…

Q: A group of 9 people consisting of 4 mothers and 5 children bought tickets for the cinema in the same…

A: Given: 4 Mothers 5 Children

Q: 2. Claire has 100 baseball cards. He wants to place the cards in three stacks so that the second…

A: We need to find number of cards in first,second and third stack We need to find how many stacks…

Q: An ice cream store sells 25 flavors of ice cream. Determine the number of possible 7-dip sundaes.…

Q: In a family of cats, there are 2 un-cool cats for every 3 cool cats. If these cats have 120 paws…

Q: Don has nine pairs of shoes, seven pairs of pants, and three shirts. If all items are compatible,…

Q: Two hundred college students were recently asked if they participated in music or sports. 127…

A: Solution

Q: Los Angeles Dodgers. From the official website of the 2013 Los Angeles Dodgers major league baseball…

Q: The records of 1492 high school students were examined, and the following information was obtained:…

A: The records of 1492 high school graduates were examined, which means that the universal set, Now,…

Q: 150 grade twelve students were asked which of the following 3 TV programs they watch regularly. 102…

Q: There are 15 married couples in a dressing room. The photographer is tasked to take a picture of…

A: We need to find the number of people who must be called out of the room so that he is sure that…

Q: In a survey of 426 people, a pet food manufacturer found that 92 owned a dog but not a cat, 103…

A: Determine how many owned both a cat and dog. From the information, given that Number of people…

Q: In a poker game, a player is dealt a 9 card "hand" from a deck of 52 distinct cards. How many…

A: Total number of distinct cards are 52 Number of cards to be chosen are 9 Given the cards are…

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

Q: A drawer contains 20 pens, of which 4 are green, 7 are orange, and 9 are black. At the least, how…

A: Given Data: Number of green pens=4 Number of orange pens=7 Number of black pens=9 Total number of…

Q: b) A drawer contains 14 white and 14 black socks, all unmatched. Ali is in a rush to school and has…

A: The pigeonhole principle is the base of counting along with the fundamental theorem of counting.…

Q: A survey of 1500 commuters in New York City showed that 1130 take the subway, 690 take the bus, and…

Q: A jar contains four white balls, eight black balls, and six red balls. In how many ways can two…

A: Given :Total number of balls in a Total number of white balls = 4 Total number of black balls = 8…

Q: 8 people stand in line at a movie theater. Into how many different orders can they be arranged? 40…

A: 1. Number of people standing in a line = 8 If the people are arranged in a line at a movie theater,…

Q: There is a group of 8 instructors and 13 new students at a university sports match. They wish to…

A: Given that there are 8 instructors and 13 new students at a university sports match. So total…

Q: In a survey of 1000 students it was found that 840 own a cell phone, 450 own an MP3 player and 370…

Q: An urn contains 6 green balls and 7 red balls. A man selects balls at random without looking at…

Q: In a survey of 426 people, a pet food manufacturer found that 143 owned a dog but not a cat, 59…

Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

Q: There are five people at a volleyball tournament. In how many ways can a team of three be chosen?

A: The number of ways r items can be chosen out of n items is equal to C(n,r) . The formula for C(n,r)…

Q: A bag contains two red marbles, two green ones, one lavender one, three yellows, and two orange…

Q: If a bag contains 4 blue marbles 6 red marbles and 9 green marbles then the number of ways that 3…

A: From the information, given thatThe total number of blue marbles=4The total number of red marbles =…

Question

A drawer contains a dozen brown socks and a dozen black socks, all unmatched. A man takes socks out at random in the dark.

a) How many socks must he take out to be sure that he has at least two socks of the same color?

b) How many socks must he take out to be sure that he has at least two black Socks?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Solution (a)

VIEW

Solution (b)

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

A large research project is looking for more researchers. There are 8 spots open on the research team. There are 10 mathematicians and 14 computer scientists that apply for the team. a. How many different ways can a team of 8 be made for the project? b. How many different ways can a team of 8 be made for the project if the team must contain at least one computer scientist and at least one mathematician.
Dr. Lawrence has minimized his wardrobe during the fall of 2020, since there's no reason to dress up fancy these days. He has three pairs of jeans, five sweatshirts, and four hats that he puts to regular use. If he were to select his outfit for the day at random, how many different jean-sweatshirt-hat combinations are there? 6.
If you have 33 regular decks of 52 cards, how many hands of 33 cards can be made, where all cards are of the same suit?
200 people yielded this information: 94 people own a blu-ray player 127 people owned a microwave and 78 owned both. How many people owned a blu-ray player or a microwave? How many people owned a blu-ray player but not a microwave? How many people owned a microwave but not a blu-ray player? How many people owned neither a blu-ray player or a microwave?
In the local boating pond there are 10 plain wooden boats, each with a different number. The owner decides that some of these boats will be painted: one in blue, one in green, one in red, and one in orange, and the remaining ones left unpainted. How many ways are there to paint the boats? The number of ways is
A hand consists of 4 cards dealt from an ordinary deck of 52 cards. How many hands are there containing exactly 1 jack, 1 ace, and 2 black cards?
A question paper has two parts, A and B, each containing 10 questions. If a student has to choose 8 from part A and 5 from part B, in how many ways can he choose the questions? Select one: O a. 12750 O b. 11340 O c. 320 O d. 40
Of the 58 students in a mathematics class, 22 are taking French, 24 are taking German, and 7 are taking both French and German. How many students in the mathematics class are taking neither French nor German? nothing students
From a group of 10 men and 12 women, only 5 will randomly sit down in a row of 5 chairs. How many different seating arrangements are possible if: i. at least 3 men must sit down? ii. Both John & Jack sit down, but not next to each other?