A box contains 6 blue marbles and 8 red marbles. You reach in and remove 2 marbles from the box without replacement. a) Make a tree diagram to represent this situation. b) Find the expected number of blue marbles

A box contains 6 blue marbles and 8 red marbles. You reach in and remove 2 marbles from the box without replacement. a) Make a tree diagram to represent this situation. b) Find the expected number of blue marbles

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: urn contains m number of red balls and n number of white balls. Two balls are selected without…

A: Given: n(red) = m n(white) = n Total number of balls = m+n P(first ball is red) = P(2 red) + P(1st…

Q: A section of a test has four true-false questions. A completed test is selected at random and the…

A: To find out all the 16 outcomes:

Q: Construct a tree diagram showing all possible results when three coins are tossed.Then list the ways…

A: Given: 3 coins are tossed.

Q: in order to conduct an experiment, 5 subjects are randomly selected from a group of 34 subjects. How…

A: given data select 5 subjects from group of 34 subjects No. of different groups of 5 subjects…

Q: A married couple wants to have 4 children. Using a tree diagram list all the possible outcomes. What…

A: sorry b=boy , g=girl

Q: Suppose a box contains 7 red balls & three blue balls. If 5 balls are selected at random without…

A: Hypergeometric distribution is given by

Q: Explain why the result of two consecutive spins on a spinner are considered INDEPENDENT. Describe a…

A: Two consecutive spins are made on a spinner.

Q: Suppose an urn contains red, green, blue, and black marbles. Suppose you draw marbles from the urn 5…

A: If an event with n different possibilities are repeated r number of times, then the number of…

Q: Four donuts and three muffins. A guest takes an item at random from the platter but does not replace…

A: A tree diagram is used to represent a probability space. Each node of the tree on the diagram…

Q: A race has 10 runners. In how many ways can the ﬁrst three places be decided?

A: Here use combination

Q: ains 5 red,4 white and 3 blue balls .3 balls are drawn at random. find out the number of ways of…

A: The box contains 5 red , 4 white and 3 blue balls. It is given that 3 balls are drawn at random…

Q: A committee of four people is to be chosen from a nine member group to represent the group on an…

A: No of combinations of n objects takes r at a time isncr=n!n-r!r!Similarly here 4 members to be…

Q: Suppose that a class of 20 students is assigned to write an essay. Suppose 3 essays are…

A: Total number of students = 20 Total number of groups of selecting 3 essays can be obtained as:

Q: A box contains 3 black spheres and 4 white spheres. Draw a tree diagram to represent the procedure…

A: A tree diagram is a diagram, which shows all the possible outcomes associated with an experiment,…

Q: In a box, there are 5 large yellow marbles, 3 small yellow marbles, and 24 white marbles. How many…

A: Introduction - Probability = Favorable outcomes total number of outcomes

Q: in a choir, there are 14 sopranos, 17 altos, and 6 basses. A group of 6 needs to be selected.…

A: Solution: From the given information, there are 14 sopranos, 17 altos and 6 basses. Here, a group of…

Q: A shipment of 95 TV sets is received. Five sets are to be chosen at random and tested for defects.…

A: Here we have Number of TV sets (n) = 95 Number of sets to be choosen (r) = 5 Here we will we the…

Q: same

Q: If 4 marbles are picked randomly from a basket containing 5 blue marbles and 8 yellow marbles, in…

A: This is the problem of combinatorial.

Q: A box contains three black spheres and four white spheres. Draw a tree diagram to represent the…

A: We have given that. A box contains three black spheres and four white spheres. We have to find.…

Q: A bag contains 5 green marbles and 8 blue marbles. Three marbles are drawn at random without…

A: Total marbles= 13 5 green and 8 Blue We have to calculate mentioned probabilities Probability=…

Q: B- Write the possible cases for throw a coin 4 times (use the tree diagram)?

A: Tree diagram for possible cases for throw of a coin 4 times:

Q: Three group of children contain respectively three girls and one boy; two girls and two boys; one…

A: Introduction :

Q: Assume that there are 9 pairs of shoes in a closet. How many single shoes must you choose at random…

A: Suppose the first shoe is chosen at random and after that 8 different shoes are chosen. Then the…

Q: In a shipment of 59 vials, only 14 do not have hairline cracks. If you randomly select 2 vials from…

A: Given that Number of vials (n) = 59 Vials do not have hairline cracks = 14 Vials having hairline…

Q: There are 12 students in a high school senior class. In how many ways could the yearbook choose one…

A: The objective of this question is to find out the number of ways in which one student can be chosen…

Q: Suppose there are 14 men and 6 women in an office. A CEO randomly selects 5 workers from the office…

Q: Find the number of ways of getting at least a pair when randomly getting nine cards from a standard…

Q: n order to conduct an experiment, 5 subjects are randomly selected from a group of 40 subjects.…

A: Given data, Total number of subjects n=40 Number of randomly selected subjects r=5 How many…

Q: A box contains 10,000 tickets: 4,000 zeros and 6,000 ones. And 10,000 draws will be made at random…

A: As the draws are obtained without replacement, the population size decreases with each additional…

Q: A restaurant has a "low sodium" menu and a "low calorie" menu. On the "low sodium" menu there are 5…

A: Solution: We can write the given information in a tabular form as follows: Low Sodium Low…

Q: contains 40 apples; there are 3 types of apples in the bin, 20 are Macintosh, 12 are Gala and 8 are…

A: Given : total no of apples =40 no of Macintosh=20 no of Fuji=8 no of gala =12 Select 2 apples…

Q: Tennis balls are randomly toss into one of five trays. Determine the number of balls needed to…

Q: Jorge has a box with different colors of tubes of paint. In the box, there are 7 tubes of blue…

A: Solution:- To determine which event is more likely, we need to calculate the probability of each…

Q: marching band consists of 11 pipers and 12 drummers. Three of them are selected to march in order…

A: The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: B is fo

A: The three subsets are given which are A ,B and C. It is given that B is four times as likely as A.…

Q: In a classroom there are 28 tablets which includes 5 that are defective. If seven tablets are chosen…

A: No.of defective tablets=5No.of non defective tablets=23

Q: A marching band consists of 11 pipers and 12 drummers. Three of them are selected to march in order…

A: The number of ways in which n different objects can be arranged is given by n!, where…

Q: How many chances of winning a lottery game where 4 numbers are picked from 20 numbers?

A: According to the given information in this question We need to find 4 numbers are picked from 20…

Q: There are 20 members of a club. The club is going to select a president, vice president, and…

A: Given: 20 members in a club.

Q: n urn contains 12 numbered balls, of which 6 are black, and 6 are white. A sample of 4 balls is…

A: Total no.of balls = 12 No.of white balls = 6 No.of black balls = 6 Consider that sample of 4 balls…

Question

A box contains 6 blue marbles and 8 red marbles. You reach in and remove 2 marbles from the box without
replacement.
a) Make a tree diagram to represent this situation.

b) Find the expected number of blue marbles.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

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

The tree diagram shows the sample space of two digit numbers that can be created
A child is building a tower with colored bricks. She has 22 bricks: 6 yellow, 6 blue, 1 green, and 9 red. She selects a brick at random to stack on the tower. Enter all answers as decimals and round to four places.
A coin is tossed 17 times. In how many outcomes do at most 2 tails occur?
In order to conduct an experiment, 5 subjects are randomly selected from a group of 50 subjects. How many different groups of 5 subjects are possible? the number of possible different groups is
A professor has 15 books. They wish to distribute 4 books each to their 3 favorite students (so 12 in total). How many ways are there to do this? (All 15 books have different contents. We don’t care about the order of distribution, only who gets which books in the end.)
List all the possible outcomes from flipping a coin twice and spinning a spinner with three sections labeled red, yellow, and blue. {HHr, HHy, HHb, HTr, HTy, HTb, THr, THy, THb, TTr, TTy, TTb} {HH1, HH2, HH3, HH4, HT1, HT2, HT3, HT4, TH1, TH2, TH3, TH4T, TT1, TT2, TT3, TT4} {HHr, HHy, HHb, HTr, HTy, HTb, THr, THy, THb} {HH1, HH2, HH3, HT1, HT2, HT3, TH1, TH2, TH3, TT1, TT2, TT3}
A bag contains pieces of 6 different types of candy. If the bag has 85 pieces in total, how many pieces must be randomly selected to guarantee the selection contains at least 3 pieces of one of the 6 types?
Three members of a committee will be randomly selected from five people. How many different combinations are possible?
If you roll two dice, each with 8 faces, what sum is most likely to appear from the two dice? Write out each step and explain what you are doing in each step.
Bowl A contains 2 red chips; bowl B contains two white chips; and bowl C contains 1 red chip and 1 white chip. A bowl is selected at random, and one chip is taken at random from that bowl.
A bowl contains 25 balls, 10 of them are blue, 15 of them are black. You select a ball at random without looking. How many balls should you select to be sure of having at least 4 balls of the same color? Answer:
Please solve the last 3 options