3Balls in box.if two balls are drawn from the box without replacement. Draw a Tree Diagram and samples space

Q: How many permutations of the letters ABCDEFG contain the string BGCF

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Q: Complete the tree diagram by filling in the missing entries below.

A: From the Given tree diagram: W=P(Case 1) As the probability sum to 1 Therefore, P(Case 1)+P(Case…

Q: A prix fixed menu offers a choice of 2 appetizers, 4 main courses and 3 desserts. If a tree diagram…

A: It is given that number of appetizers is 2, number of main courses is 4 and number of deserts is 3.

Q: a) Determine the number of ways that the elements of the set {a,b,c} can be arranged by listing the…

A: (a).  Here is the list of possible outcomes  {a,b,c} {a,c,b} {c,a,b} {c,b,a} {b,c,a} {b,a,c} thus…

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

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Q: 7. A Balanced Tree has an equal number of items on each subtree. True False

A: Let's find.

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

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Q: Draw a tree diagram to display all the possible head-tail sequences that can occur when you flip a…

A: Let us denote H=head and T=tail For each toss, there will be 2 choices. So the size of the sample…

Q: a cake shop  sells  3   diff types  of cakes , vaniila cholcalte  and starwberry . Amy can select 2…

A: Step 1: (a)  Total number of possible orders are  =3×2×3=18 The tree diagram can be drawn as…

Q: A food specialty store receives 2 cherry cheesecakes each morning. Cheesecakes not sold by closing…

A: According to the provided data, the store receives 2 cherry cheesecakes each morning and cakes are…

Q: Write the following into tree diagram. 1. Tossing a coin 5 times 2. Roll a die twice III.

A: Given problem Given that   1)   Tossing a coin 5 times

Q: 11. There are 5 red and 3 green marbles in a bag. Suppose Nash takes a ball out of the bag at random…

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Q: Given two cvents A and B that are defined on the same sample space 2. Decide whether the following…

A: I). The statement "PA∩B=PA.PB" is sometimes true when the events  A and B are independent of…

Q: In any given class, there are males and females who have blue, brown or green eyes.  Create a table…

A: It is given that, In any given class, there are males and females who have blue, brown or green…

Q: Q.2) Construct a tree diagram showing all possible results when three coins are tossed. Then list…

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Q: 7. Draw the tree corresponding to the following Prüfer codes (a) (2,7,6,2,2) (b) (3,1,2,3,3)

A: Tree:  Tree is the non-cyclic graph. Hence, not a complete graph. Prüfer code: The Prüfer code is a…

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: 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: Given the listing of permutations of voters, circle the swing voter for each. Find the…

A: Given: There are three voters A, B, and C.            Total votes for A=13.            Total votes…

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

A: It is given that S={G, H, J}.

Q: At a restaurant, Frank has a choice of 2 appetizers, 3 mains and 2 desserts. a) Create a Tree…

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Q: There are four routes, A, B, C, and D, between a per-son’s home and the place where he works, but…

A: Number of routes = 4 A, B, C, D Route B is from work to home only. Route C is from home to work…

Q: 1. a) An ice cream cart sells three flavors; chocolate, vanilla, and strawberry. If you order a cone…

A: Possible outcomes : An outcome is a possible result of an experiment or trial in probability theory.…

Q: a) List all possible arrangements in the cells if any cell can contain upto two balls. [0210] is an…

A: We have given a box containing four cells and three balls are dropped into the box . a) cell…

Q: 8. Mississippi River Airlines utilizes five hubs to connect cities across the Northern Hemisphere.…

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Q: ttéé is to be formed from 10th graders, 11th graders and 12th graders. There are four 10th graders,…

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Q: The Juniors at PBNHS is about to elect class officers for next year. Use the list of Candidates to…

A: We are given the following table. President Vice President Secretary  Treasurer Layla Gusion…

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

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Q: 7 A large company created a phone tree to contact all employees in case of an emergency. Each of the…

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Q: Use a tree diagram for the following. a. Find the number of ways 2 letters can be choosen from the…

A: (a) Tree diagram for selecting two letters form the set {P, Q, R, S}, repetition is allowed. Start…

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

A: P(tossing a head on the coin and a red bead)=P(tossing a head)×P(a red bead)=13×312=0.083

Q: A family has 4 children. A tree diagram or systematic list can be used to show how many ways the…

A: A family has 4 children. A tree diagram or systematic list can be used to show how many ways the…

Q: Ex: Suppose that in a school, 13% of students are psychology majors. If a student is a psychology…

A: Given Information: In a school, 13% of students are psychology majors. If a student is a psychology…

Q: Choose the letter of the correct answer. 1. A diagram that uses circles to represent sets in which…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others parts…

Q: 2. An experiment, consists of tossing a die and then flipping a coin once if the number on the: die…

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Q: onsider the following tree Descendent of e, r and n Siblings of d, c, and u Ancestor of s, c and a

A: Given tree is

Q: If a tree has 23 vertices, then its total degree of the vertices is O 44 O 22 O 23 O 42 O none of…

A: If we take the sum of all the degrees, each edge will be counted twice. Hence, for a tree with n…

Q: Find what is asked in each problem. You may use the tree diagram or the FCP to answer the problem.…

A: Here for given Question we will use FCP method for 3 different questions

Q: Jse a tree diagram to find the number of ways 3 letters can be chosen from the set {P,Q,R} if order…

A: a) For each position there are 3 choices. And there are 3 positions. So total number of ways=…

Q: A class contains 7 Freshmen, 6 Sophomores, 5 Juniors, and 4 Seniors. Suppose a committee of 3 is to…

A: There are total (7+6+5+4)=22 students.  There are 5 juniors. So (22-5)=17 are not juniors.

Q: A student is given a reading list of nine books from which he must select two for an outside reading…

A: Given Data: The total number of books is: n=9 The total number of selection is: x=2 Assuming all…

Q: Margo is planning a vacation. Assume that they have 2 possible destinations: beach or mountains.…

A: Given data:     The number of condos in the first area of the beach is: NB=4. The number of condos…

Q: 1. Mary can travel from St. John's to Corner Brook by car, bus, or plane and from Corner Brook to…

A: The solution is given below

Q: Kimberly decides to have a computer custom-made. She can select one option from each category:…

A: Here we have to answer question based on combination.

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

A:

Q: A family has three children. Assuming that it is equally likely that they have a boy or a girl, make…

A: From the given information, there are 3 children and boy and girl are equally likely. a) Tree…

Q: Suppose a family has four children. Find the arrangements of exactly two boys if the first born…

A: Given that: A family has 4 children.

Q: Neil has three dogs. Two are brown and one is grey. When he feeds the dogs, Neil uses three bowls…

A: P(Brown) = 23P(Grey) = 13P(Red | Brown) = 23P(Yellow | Brown) = 13P(Red | Grey) = 23P(Yellow | Grey)…

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

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Q: Show the permutation of a given situation by using a tree diagram

A: Here draw tree diagram