1) Bill is given a jar with eight marbles, six of which are red and two of which are green. Bill then randomly draws marbles without replacement. If he selects a red marble, he puts it in the first box. Similarly, until a green marble is chosen in given jar he continues to place all red marbles into the first box. When a green marble is chosen, he puts the first box aside and places red marbles in the second box until the second green marble is chosen. When the second green marble is selected, he will put the second box aside and place all remaining red marbled in a third box. After all marbles are drawn, what is the probability that each box contains two red marbles? Express your answer as a common fraction.

1) Bill is given a jar with eight marbles, six of which are red and two of which are green. Bill then randomly draws marbles without replacement. If he selects a red marble, he puts it in the first box. Similarly, until a green marble is chosen in given jar he continues to place all red marbles into the first box. When a green marble is chosen, he puts the first box aside and places red marbles in the second box until the second green marble is chosen. When the second green marble is selected, he will put the second box aside and place all remaining red marbled in a third box. After all marbles are drawn, what is the probability that each box contains two red marbles? Express your answer as a common fraction.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.6: Permutations And Combinations

Problem 2SC: How many different signals can be sent, when three flags are used, if two of the 9 flags are...

See similar textbooks

Related questions

Q: At the end of the day, a bakery gives everything thatis unsold to food banks for the needy. If it…

A: Consider, Number of apple pies left (n) = 12 Number of food banks (r) = 6

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: Two coins are randomly drawn out from a coin pouch . In a pouch we have given that there are 4…

Q: In a bucket there are 5 purple, 15 gray and 25 green balls. If the ball is picked up randomly, how…

Q: You have 200 different-looking tiles. (Each is a different solid color. You only have one tile of…

A: Each tray will have 5 different tiles. First tray will have 5 different tiles out of 200 choices of…

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: A mother, father, and their three children are to line up for a photo. In how many ways can these…

Q: An ordinary deck of playing cards contains 52 cards, 26 red and 26 black. If a card is dealt to each…

A: Solution: From the given information, a deck of 52 cards contain 26 red and 26 black.

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

Q: In a class of 18 girls and 15 boys, in how many ways can a girl get the highest grade, a boy second,…

A: Consider the given information.The number of the boys is 15 and the number of the girls is 18 girls.

Q: A class has 18 boys and 13 girls as students.

A: Given data: The total number of boys in the class is: B=18. The total number of girls in the…

Q: Suppose there are 20 students in our class and we want to choose 3 to sit in the front row. How many…

A: Given information There are 20 students We want to choose 3 to sit in the front row Total number of…

Q: Box A contained 225 pens. Box B contained 320 rulers, Some pens were moved from Box A to Box B and…

A: Given- Box A contained 225 pens. Box B contained 320 rulers. Some pens were moved from Box A to Box…

Q: an automobile that was tested for production defects, but assume that the number of production…

Q: Suppose you visit a small, local panadería and decide to pick up some pasteries. The panadería has a…

Q: In a rugby match,a tie at the end of two overtime periods leads to a "shootout" with five kicks…

A: Here the given information is In a rugby match,a tie at the end of two overtime periods leads to a…

Q: In a certain card game, for every 4 blue cards, there are 3 yellow cards. There are a total of 84…

A: In given question we have for every 4 blue cards, there are 3 yellow cards.There are of 84 blue and…

Q: If there are 11 employees in a club, in how many ways can they choose a dishwasher and a bouncer?

A: The total number of employees in a club is 11.

Q: Previously, De Anza's statistics students estimated that the amount of change daytime statistics…

Q: Suppose you have 11 books and you randomly pick 3 to take on vacation with you. How many ways can…

A: To count the number of possible selections

Question

1) Bill is given a jar with eight marbles, six of which are red and two of which are green. Bill then
randomly draws marbles without replacement. If he selects a red marble, he puts it in the first box.
Similarly, until a green marble is chosen in given jar he continues to place all red marbles into the
first box. When a green marble is chosen, he puts the first box aside and places red marbles in the
second box until the second green marble is chosen. When the second green marble is selected, he
will put the second box aside and place all remaining red marbled in a third box. After all marbles are
drawn, what is the probability that each box contains two red marbles? Express your answer as a
common fraction.

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

How many different signals can be sent, when three flags are used, if two of the 9 flags are missing?
There are 10 applicants for three sales positions at a department store. All of the applicants are qualified. In how many ways can the department store fill the three positions?
How many permutations of the letters W, X, Y, and Z are possible?
How many distinguishable words can be formed from the letters of the word casserole if each letter is used exactly once?
Alice and Bill have four grandchildren, and they have three framed pictures of each grandchild. They wish to choose one picture of each grandchild to display on the piano in their living room, arranged from oldest to youngest. In how many ways can they do this?
In how many different ways can two letters be chosen from the letters A, B, C, D, E, F, and G? (The order of the two letters is not important.)