There are a 100 marbles in a bag. Among the 100 marbles, there are marbles of 5 different colors that are split equally, with 20 marbles for each color. Once a marble is removed from the bag, they are out of the pool. How many times do I need to take a marble from the bag, on average, will it take for me to get three marbles of the same color? (Can you show the steps to this?)

There are a 100 marbles in a bag. Among the 100 marbles, there are marbles of 5 different colors that are split equally, with 20 marbles for each color. Once a marble is removed from the bag, they are out of the pool. How many times do I need to take a marble from the bag, on average, will it take for me to get three marbles of the same color? (Can you show the steps to this?)

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: A group of 5 students is to be chosen from a 30 student classroom. How many ways can this be done?

A: Note that here we have to select a group of 5 students from a 30 student classroom.

Q: There are 4 jobs you can choose in a volunteer site. How many different ways are there to choose 1…

A: The objective of the question is to find out the number of ways to choose 1 job out of 4 available…

Q: Find the number of ways in which we can select a team of 6 players from a class of 12 people.

Q: In a box 20% balls are white, 33% balls are blue, 27% balls are red and rest are green. If the…

A: In a box 20% of balls are white, 33% of balls are blue, 27% of balls are red and the rest are green.

Q: You have 8 DVDs to place on a shelf, but you only have room for 6 of them. How many different ways…

A: Given,no.of DVDs=8no.of rooms=6

Q: The Hickory Stick has a selection of 4 meats and 7 vegetables. How many different selections of one…

Q: An artist with a palette of 13 colors designs a flag with 3 different vertical stripes. Find the…

A: Total = N = 13 colours , r = 3 different vertical stripes To select r things from N things (…

Q: Ten children are to be divided into an A team and a B team of 5 each. A team will play in one league…

A: Given Information: The total number of children, n=10 The number of children divided into the two…

Q: You volunteer to help drive children at a charity event to the zoo, but you can fit only 7 of the…

A: The objective of this question is to find out how many different groups of 7 children can be formed…

Q: A professor gives his students 6 essay questions to prepare for an exam. Only 2 of the questions…

A: The objective of this question is to find out the number of different exams that are possible given…

Q: There are 24 students in the senior class. Four of the students will be chosen to be the President,…

A: There are total 24 students. We need to select one President, Vice-President, Secretary, and…

Q: A die is rolled four times consecutively. Find the number of possible outcomes if the order of the…

Q: A box has 15 pens in it, a class buys 5 boxes, how many pens are are in all boxes?

Q: The number of ways a student can wear his 6 shirts, 4 pants, and 2 shoes

A: Given : Number of shirts = 6 Number of pants = 4 Number of shoes = 2 = 1 pair

Q: There are 49 runners in a race, and no ties. In how many ways can the first three finishers be…

Q: The organizer of a conference is selecting workshops to include. She will select from 7 workshops…

A: Given,no.of chemistry workshops=7no.of biology workshops=6

Q: An ice cream store stocks 30 different flavors and offers rainbow banana boat split that contains 3…

A: Given, An ice cream store stocks 30 different flavors It offers rainbow banana boat split that…

Q: you have 5 pair of white socks and 10 pair of black sock in a drawer. you randomly choose two pair.…

Q: An artist with a palette of 10 colors designs a flag with 3 different vertical stripes. Find the…

Q: Convener and a Secretary are to be chosen from group of people consisting of 50 people. Explain how…

A: i) We can select A as Convener in only 1 way. We can select Secretary from (50-1)=49 people in 49…

Q: In a 10 team tournament, trophies are to be given to the top 3 places. In how many ways can the…

A: Given: There are 10 teams in the tournament and trophies are to be given to the top 3 places. Find…

Q: A student must take 4 electives from a set of 10 electives. How many ways can the student choose the…

A: Solution-: Given: n=10, r=4 We want to find how many ways can the student choose the electives.

Q: Jim is designing stripes with five parallel colors on a piece of cloth. How many stripes can jim…

A: Given information: Jim is designing stripes with five parallel colours on a piece of cloth. Number…

Question

100%

There are a 100 marbles in a bag.

Among the 100 marbles, there are marbles of 5 different colors that are split equally, with 20 marbles for each color.

Once a marble is removed from the bag, they are out of the pool.

How many times do I need to take a marble from the bag, on average, will it take for me to get three marbles of the same color? (Can you show the steps to this?)

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

Similar questions

Find the number of different ways that an instructor can choose 4 students from a class of 18 students for a field trip.
This morning you collected 42 eggs from the hens in your chicken coop. Your 6 favorite neighbors are always glad to get fresh eggs from your chickens. How many different ways can you distribute the 42 eggs to your 6 favorite neighbors so that every neighbor gets at least 1 egg, but no neighbor gets more than 12 eggs? Your Answer:
A group has 9 teenagers and 10 adults. 6 of them 4 teenagers and 2 adults will ride in the shuttle together. How many ways are possible to shoose the 6 riders?
It is made up of 100 dinars. 100 dinars are distributed on the category of a person. Each man receives 3 dinars, every woman 2 dinars, and every child is half a dinar. Find all possibilities for the number of men, the number of women, and the number of children
A theater has 30 seats in the first row, 32 seats in the second row, increasing by 2 seats per row for a total of 26 rows. How many seats are there in the theater?
There are 10 student clubs on campus. You want to join 3 of them this year. How many ways that you can choose 3 clubs to join out of 10?
There are 89 students in the senior class. Four of the students will be chosen to be the President, Vice-President, Secretary, and Treasurer of the class. How many different ways can this happen
how many three colors flag can you make with the colors white, red and blue.
Suppose we want to choose 3 colors, without replacement, from the 4 colors red, blue, green, and purple. How many ways can this be done, if the order of the choices does not matter? How many ways can this be done, if the order of the choices does matter?