Benny is a messy student who keeps all his colored socks in a box. The box contains a total of 4 blue and 2 yellow socks. On the first day, while running late for class, he randomly selects (without replacement) two socks out of the box to wear. Assume the socks are indistinguishable from one another apart from color. The next day, Benny selects his socks again, but this time you are told that the first sock he has picked from the box is blue. What can you say about the probability he will end up wearing a matching pair of socks to class, in comparison to the first day? The probability of him wearing matching socks is higher than that of the first day The probability of him wearing matching socks is unchanged The probability of him wearing matching socks is lower than that of the first day

Benny is a messy student who keeps all his colored socks in a box. The box contains a total of 4 blue and 2 yellow socks. On the first day, while running late for class, he randomly selects (without replacement) two socks out of the box to wear. Assume the socks are indistinguishable from one another apart from color. The next day, Benny selects his socks again, but this time you are told that the first sock he has picked from the box is blue. What can you say about the probability he will end up wearing a matching pair of socks to class, in comparison to the first day? The probability of him wearing matching socks is higher than that of the first day The probability of him wearing matching socks is unchanged The probability of him wearing matching socks is lower than that of the first day

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...

See similar textbooks

Related questions

Q: David has bought 4 tickets for a concert. 1 is for himself. The other 3 he will give to 3 friends to…

A: If, there are n items and need to select r items among them, we can select them in Crn=n!r!×(n-r)!…

Q: Erin just bought a bag of gumballs with eight different colors of gumballs. One of the colors is…

A: Let X denotes the number of gumballs that Erin will need to pull out of the bag until she gets her…

Q: The next five births at a hospital all being boys

A: Let P(G) be the probability of birth of a girl and P(B) be the probability of birth of a boy. The…

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: Suppose that an outfit consists of a shirt and a pair of pants. If you have 4 different shirts and 3…

Q: At the .05 significant level, the reseacher wants to test wheater people are likely to offer a…

A: Let the first sample is students in group one how much they would offer to pay a friend for a fairly…

Q: Imagine a game show on television where one lucky contestant is presented with three upside-down…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Evan has two baskets containing snacks items. The first basket contains one package each of peanuts,…

A: Evan takes one item from the first basket and two items from the second basket for his lunch. The…

Q: An archery target consists of a gold circle with radius of 5 inches surrounded by a red ring whose…

A: The objective of this question is to calculate the probabilities of John's arrow landing in…

Q: There are nine shirts in your closet,f ive blue and four green. Three of the blue shirts and two of…

A: Given that, There are 9 shirts in the closet in which 5 are blue and 4 are green. 3 of the blue and…

Q: In a game, each player must relay the same message to two persons in a minute. Starting off with the…

Q: Kelsie works at a bicycle shop as a salesperson. She records the number of bicycles she sells on a…

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…

Q: Jonathan likes to randomly mix-and-match the colors of the shirts and pants he wears to school. His…

A: The objective of this question is to find the total number of possible combinations of shirt and…

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: You are dealt one card from a 52-card deck. Find the probably that you are not dealt a four.

A: The probability of an event is given by the number of favorable cases divided by the total number of…

Q: In a class that has 25 students, suppose that 24 of them took their exam on a Monday and the average…

A: Refer to the solution

Q: AJ had $400 on Monday. On Tuesday he had $373, and on Wednesday he had $346. If this pattern…

A: This is an arithmetic progression.

Q: Kaitlyn, a fifth-grader, asked five of her friends in class which book is their favorite. All of…

A: Here the sample is five friends of Kaitlyn and the population is all the children of Kaitlyn's…

Q: Each of four siblings (Anita, Tony, Maria, and Jose) is given $5000 to invest in the stock market.…

A: Given that, each of four siblings (Anita, Tony, Maria, and Jose) is given $5000 to invest in the…

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

Question

The next day, Benny selects his socks again, but this time you are told that the first sock he has picked from the box is blue. What can you say about the probability he will end up wearing a matching pair of socks to class, in comparison to the first day?

The probability of him wearing matching socks is higher than that of the first day
The probability of him wearing matching socks is unchanged
The probability of him wearing matching socks is lower than that of the first day

Video Video

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

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Flow and Cuts$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

A sock drawer contains 3 black socks, 4 blue socks, and 7 brown socks. If you pick socks from the drawer in the dark (so you cannot see the color), how many must you pick to ensure that you end up with at least two blue socks?
There are five nickels and four dimes in your pocket. Three of the nickels and two of the dimes are Canadian. The others are US currency. You randomly select a coin from your pocket. It is a nickels or is US currency.
Each student's locker combination at Guion Creek Middle School contains three numbers ranging from 0 to 49 Alex and Dante are playing a game with their locker combinations. Alex is giving Dante hints to his locker combination to see if Dante can guess the combination A. Alex's first hint is that the first number in the combination is a 3,4, or a 5. How many possible choices are there for the 1st Number? B. The hint for the second number is that it is NOT a 3 or a 4. How many possible numbers are there for the 2nd number? C. The hint for the third number is that it is an odd number. How many possible numbers are there for the 3rd number? D. How many possible combinations are there? E. What is the probability that 3:32:7 is Alex's combination? leave your answer as a fraction with NO spaces Answer for A:____________ Answer for B:______________ Answer for C:____________ Answer for D:________________ Answer for E:_________________
Four men and a monkey spend the day gathering coconuts on a tropical island. After they have all gone to sleep at night, one of the men awakens and, not trusting the others, decides to take his share. He divides the coconuts into four equal piles, except for one remaining coconut, which he gives to the monkey. He then hides his share, puts the other piles together, and goes back to sleep. Each of the other men awakens during the night and does likewise, and every time there is one coconut left over for the monkey. In the morning all the men awake, divide what's left of the coconuts into four, and again there is one left over that is given to the monkey. Find the minimum number of coconuts that could have been in the original pile.
There are three light bulbs in a room, and three light switches outside the room. You are outside, and want to match up which switch goes with which light bulb. You can only travel into the room once, and cannot come back in again. You can do anything you want upon entering the room. How can you set the situation so that you will know which switch goes with which light bulb?
Match Students with Their Major Michael, Clarissa, Reggie, and Ellen are attending Florida State University (FSU). One student is a computer science major, one is a chemistry major, one is a business major, and one is a biology major. From the following clues, determine which major each student is pursuing.a. Michael and the computer science major are next-door neighbors.b. Clarissa and the chemistry major have attended FSU for years. Reggie has attended FSU for years, and the biology major has attended FSU for years.c. Ellen has attended FSU for fewer years than Michael.d. The business major has attended FSU for 2 years.
Four friends (including Adam) were at the company picnic. Each friend had a different drink (one was juice), with a different mix added (one had vanilla). From the clues provided can you figure out which friend had which drink and what was added to his/her drink? Notes:• Wilma did not drink water mixed with her lemon.• Only the men drank soda or water.• Mary was not the one who had water & lime.• David did not mix his drink with lime.• The woman who had strawberry did not have tea.
You have 4 indistinguishable gold coins and 4 indistinguishable silver coins. Each coin has a side that is heads and a side that is tails. You want to stack the eight coins on a table into a single stack so that no two adjacent coins are face to face. Find the number of possible distinguishable stacks of the 8 coins.
You have four pairs of socks, one pair each of red, blue, white, and green. Each morning, you reach into the drawer and pick out two random socks. How many days could go by before you picked exactly the same two colors of socks again?
Mr. Smith decides to organize a potluck party with neighbors on a weekend. John Smith and his wife Mary Smith and his daughter Judy Smith will prepare three different salad dishes. John's right side neighbor Jenny Jones and Bob Jones will prepare two desserts. John's left side neighbor Linda will prepare one meat dish. John's cross street neighbor Sue will prepare soup. John wants to figure out how many different ways for him to taste all dishes in order (assuming he will taste all salads, meat, desserts and soup). (Note : For example, "Salad, Soup, Salad, Meat, Dessert, Salad, Dessert" is one of the possible order he can try.
Jim is designing stripes with five parallel colors on a piece of cloth. How many stripes can jim generate with the colors red, green, blue, yellow, and orange while having two or more consecutive reds?
A carnival game has 160 rubber ducks floating in a pool. The person playing the game takes out one duck and looks at it. If there's a red mark on the bottom of the duck, the person wins a small prize. If there's a blue mark on the bottom of the duck, the person wins a large prize. Many ducks do not have a mark. After 50 people have played the game, only 3 of them have won a small prize, and none of them have won a large prize. Estimate the number of the 160 ducks that you think have red marks on the bottom. Then estimate the number of ducks you think have blue marks. Explain your reasoning.