A family has three children. Assuming that it is equally likely that they have a boy or a girl, make a tree diagram lists every possible permutation of the family having three children and then answer the questions below: a) Tree Diagram:

A family has three children. Assuming that it is equally likely that they have a boy or a girl, make a tree diagram lists every possible permutation of the family having three children and then answer the questions below: a) Tree Diagram:

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: An experiment consists of tossing a die and then flipping a coin once if the number on the die is…

Q: This tree diagram shows the tossing of an unfair coin followed by drawing one bead from a cup…

A: Probability is the ratio of number of favourable outcomes to total number of possible outcomes. The…

Q: 1.) Ivan plays four field tennis matches. Build a tree diagram to indicate the possible combinations…

Q: True or False If a task consists of a sequence of threechoices in which there are p selections for…

Q: Discrete math

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: On any weekday during the semester, the probability that Beth does Yoga is 0.75, the probability…

A: Comments: As per our guidelines we can answered only three subparts rest can be reposted. Solution:…

Q: On her week-long trip to sunny Puerto Rico, Irvane brought 7 hats, one for each day of the week.…

A: For total of 7 days, we have 7 different colours of hat.So, total permutations are 7! (There are 7…

Q: Susan has to purchase a box of cereal, a bottle of soda, and a can of vegetables. The types of…

A: Shopping Susan Forman has to purchase a box of cereal, a bottle of soda, and a can of vegetables.…

Q: Q.1) a. ATM Pin Numbers: An automated teller machine(ATM)requares a four digit identification…

A: The main objective is to find the number of possible pins of ATM under the given condition. The tree…

Q: See picture with Smarties chocolate pieces with different colors.Choose two colors of chocolate.…

A: GivenThe total number of chocolate pieces =40 Let the two colors of chocolate selected are Yellow…

Q: A tree diagram showing how many ways a nickel, a regular die, and a quarter could be flipped.

A: The objective is to draw a tree diagram that shows the number of ways of flipping a nickel, a die…

Q: Sarah tosses 5 coins, one after the other. a) How many different outcomes are possible? b) Draw a…

Q: 2 A G 2 10 12 20 t Total 4

A: The possible combinations for a double roll of two dice, one with 8 sides and the other with 4…

Q: Let A = {{a}} and B = { a, {b}, {ạ,b}}, C= {}, and D = {{}}. How many elements does each of these…

A: The set A has 1 element.The set B has 3 element.The set C has 0 element.The set D had 1…

Q: Which design is the most appropriate for this experiment? eronautical researchers have developed…

A: In this case, researchers want to compare the different processes in terms of time to deploy and…

Q: Using a tree diagram, how many outcomes are there for an outfit made with 3 shirt options 3 pants…

A: HERE GIVEN there an outfit made with 3 shirt options 3 pants options and 1 shoe option tree is…

Q: Stillwater Junior High divides students into teams taught by a group of teachers. The table shows…

A: The probability that the principal will draw the name of another student from the Acers on the…

Q: Determine the number of branches in a tree diagram that represents selecting three members from S…

A: We can pick the first number in 3 ways. Either from {J, K, L} Since repetition is allowed so the…

Q: In how many ways can an investor select three mutual funds for his investment portfolio from a…

Q: ans 210 ni Jaion lent 3. Students were divided into 8 teams with 9 on each team. Later the same…

Q: for chairman of the board, and Mr. Schoefield, Ms. Roberts and Mr. Dawson are running for general…

A: Here Take Mr Jones =J Ms Black=B Ms Holmes =H Mr schoefield =S Ms Roberts=R Mr Dawson =D

Q: Create a tree diagram to show all the possible outcomes for one spin of the spinner and one roll of…

A: There is a fair dice with six faces numbered dots of 1, 2, 3, 4, 5 and 6. There is a spinner have…

Q: When rolling an eight sided die, and a four sided die, how many possible combinations are there?…

A: The first dice is eight sided and the second dice is four sided. therefore, for the first dice, the…

Q: In an experiment on social interaction, 6people will sit in 6 seats in a row. In how many ways can…

A: Here we Wang to know how many ways six people can sit in six seats in a row.

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

Q: 3Balls in box.if two balls are drawn from the box without replacement. Draw a Tree Diagram and…

A: Total balls in a box = 3 Total balls drawn = 2

Q: Please answer all: a) how many outcomes are there? b) how many outcomes have both Maria and John…

A: given data president candidate : {Jessica,Ann,Maria,Linda}vice president candidate : {John,Bob}tree…

Q: Interpret the slope of the regression line in the context of the question: For every additional…

A: Given that a biologist looked at the relationship between number of seeds a plant produces and the…

Q: A family wants to adopt pets from the local animal rescue. They have prepared a final list of five,…

A: Note:Hey there! Thank you for the question. As your question contains more than three parts,…

Q: One spinner has three sections. They are marked A, B, and C. Another spinner has four sections. They…

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

Q: 2. Tree diagrams a) Draw a tree diagram to illustrate the possible outcomes of tossing a coin and…

A: Here we have to draw a tree diagram when toss a coin and rolling a six-sided die

Q: TOPIC: Problem Solving on Permutation and Combination. Analyze and Solve each problem. a) In a…

A: Introduction :- We are given a situations which can be solved by using permutation and…

Q: Tanya went shopping and bought the following items: one red t-shirt, one blue blouse, one white t-…

A: Tree Diagram : Diagram 1 Tops / \ RT BB | | WT FB \ / Pants / | \ KC BP WC \ | /…

Q: 3. Suppose there are 6 black pens, 7 blue pens, and 5 red pens. Find the number of ways you can…

A: Given,no.of black pens=6no.of blue pens=7no.of red pens=5Total no.of pens=18

Q: At the first meeting of a committee to plan a local Lunar New Year celebration, the persons…

A: As per the bartleby guidelines for more than three parts only three has to be solved. Please upload…

Q: topic: counting How many strings of five capital letters are there... a. if no letter can be…

A: Here,Five capitals letter we need to make.Total letter = 26For , each letter we have 26 option…

Q: A college library has four copies of a certain book; the copies are numbered 1, 2, 3, and 4. Two of…

A: The library has four copies 1,2,3, and 4. Two are selected at random, in which first one is placed…

Question

19. A family has three children. Assuming that it is equally likely that they have a boy or a girl, make a tree diagram
that lists every possible permutation of the family having three children and then answer the questions below:
a) Tree Diagram:
b) What is the probability that the family has at least 2 boys?
c) What is the probability that the family doesn’t have three girls?

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 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Tree$

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

researcher at a large department store finds that 25% of customers are coerced into buying an item. The researcher also finds that when coerced to buy an item, the shopper returns the item for refund 30% of the time. If a shopper is not coerced into buying an item then that item is returned 2.5% of the time. i) Construct a fully labelled tree diagram to represent the above information. Hint: Firstly use C to represent the event that a shopper is coerced into buying an item and then use R to represent the event that an item is returned
Discrete Mathematics, partitions of a set We assign n different tasks to the group of 2n people. How many ways can we do this if: a) we assign a pair for each task; b) we assign at least one person for each task?
In how many ways can Silly Chicken select 6 out of 19 possible sites for the construction of new Silly Chicken stores? Group of answer choices
An experiment consists of tossing a die and then flipping a coin once if the number on the die is even. If the number on the die is odd, the coin is flipped twice. Using the notation 4H, for example, to denote the outcome that the die comes up 4 and then the coin comes up heads, and 3HT to denote the outcome that the die comes up 3 followed by a head and then a tail on the coin, construct a tree diagram to show the elements of the sample space S. List down all the elements.
A bag contains 8 black, 7 yellow, and 10 green marbles. If a sample of 6 is drawn at random, how many samples are possible in which the marbles are: a. all green? b. 2 black, 2 yellow, and 2 green?
An urn contains red, yellow, and green balls. We will select 6 balls from the urn with replacement, and we will record the sequence (in order) of colors that we obtain. A typical sequence could be GYYGRG. How many outcomes are possible?
Give two instances of the pattern. c cows have 4 * c legs
A role-playing game uses a die that has eighteight sides numbered 1 comma 2 comma 3 comma 4 comma 5 comma 6 comma 7 comma and 81, 2, 3, 4, 5, 6, 7, and 8. How many branches would a tree diagram have that shows the way two eighteight-sided die could be rolled? The tree diagram would have nothingm branches.
Given the following fictitious data 40% of all undergraduates at XYZ University are from Florida and60% from out of state. 22% are freshmen, and 78% are not. Out of all freshmen, 36% are from Florida,and 64% from out of state. Determine the probability a randomly selected XYZ University undergraduate:Suggestion: Make a tree diagram with the first branches being freshmen or not.a) is from Florida and a freshman. b) is from Florida and not a freshman.c) is from out of state and not a freshman. d) is a freshman given the student is from Florida.
How many different birth orders with respect to gender are possible in a family with six children (For example, BBBGGG & BGBGGB are different orders
You pull out your dice from playing Dungeons and Dragons. Specifically you pull out a 4 sided die. The possible outcomes are the numbers 1, 2, 3 and 4 and they are all equally likely. Create a tree diagram on a piece of paper showing the results of rolling the die once and then from there rolling the die again. Follow all the branches of your tree and add up the total number rolled for those 2 die (e.g., if roll 2 first and then 4 second, the sum = 6). A) Below make a list of all possible sums of rolling 2 4-sided die when considering the order of those outcomes. B) What is the probability of rolling 2 die and getting a sum of 6? Set up, do not need to solve to final number. C) What is the probability of rolling a die and not getting a sum of 6? Set up, do not need to solve to final number. D) Did we generate the probability listed in B above (choose one): Subjectively, Theoretically, or Empirically?
6. A bookstore is giving out bookmarks to its customers. Customers can choose from 4 colors (green, red, orange, or blue) and 2 styles (cloth or paper). a. Use a tree diagram to find all the possible bookmark types. b. Spencer picks a bookmark at random from a box that contains one bookmark of each type. What is the probability that he will choose an orange cloth bookmark?