Suppose we first roll a six-sided die, and then flip a fair coin as many times as the number on the die. (a) Find the number of times heads will appear.

Q: I am three times as old as my son.Five years later,I sall be two and half time as old as my son.How…

A: In the question, I am three times as old as my son Five years later,I sall be two and half time as…

Q: If the animal is in the woods on one observation, then it is four times as likely to be in the woods…

A: 1)   Meadow woods Meadow 2/3 1/3 woods 1/5 4/5

Q: A casting director wishes to find one male and one female to cast in his play. If he plans to…

A:

Q: A student needs 8 more classes to complete her degree. If she has met 5 pre-requisites for all the…

A: A student needs 8 more classes to complete her degree. If she has met 5 pre-requisites for all the…

Q: If the animal is in the woods on one observation, then it is four times as likely to be in the woods…

A: (1). Find the transition matrix for the given Markov process: Suppose the animal is in woods on one…

Q: A salesman lists 12 customers to visit each day. In how many different ways can he visit the…

A: Given, a salesman lists 12 customers to visit each day. The required different ways in which he can…

Q: A Certain bacteria culture triples in a number every day. If there were 100 bacteria at the end of…

A: Let in general there are n0 bacteria after 1 day.  Then after second day, no of bacteria will be 3a0…

Q: A mother tells her son, “I was your age when you were born”. If the mother is 38 years old, how old…

A:

Q: A person is 4 years old and his sister is half his age, so if this person is a hundred years old,…

A: Given: Age of the person = 4 years Age of the sister = 2 years (half of that of person's age)…

Q: group of 27 people, made up of adults and children, visited a park. Adult admission to the park is…

A:

Q: There are 20 seats in the front row of a theater. Each successive row contains two more seats than…

A: There are 20 seats in the front row of a theater. Each successive row contains two more seats than…

Q: A group of boys shares some cards among themselves. If each of them tried to take 8 cards each, the…

A:

Q: There are three boys and three girls at a party. In how many ways can they be seated if they can sit…

A: Given, There are three boys and three girls at a party they can sit down three at a time

Q: A one-topping pizza consists of choosing a crust, a type of cheese, and one topping. If there are 4…

A:

Q: Five friends have tickets next to each other in one row. If two of the friends must sit next to each…

A: Five friends have tickets next to each other in one row. Two of the friends must sit next to each…

Q: At a benefit​ concert, ten bands have volunteered to perform but there is only enough time for seven…

A: We have to find total possible lineups by permutation.

Q: A man has time to play roulette 5 times. He wins or loses $ 1000 in every game. The man starts with…

A: Given information: Wins or loses per game = $1000

Q: A bag contains 5 apples and 3 oranges. If you select 4 pieces of fruit without looking, how many…

A:

Q: You have 19 pieces of candy to distribute to 7 people. How many ways are there to distribute the…

A: Total number of pieces of candy is 19. Total number of person is 7.

Q: A woman with a basket of eggs finds that if she removes the eggs from the basket 3 or 5 at a​ time,…

A: Ans 16

Q: There are 280 students in 20 classes. If the number of students in each class is  the same, then how…

A: We have no of students..

Q: Svetlana flipped a coin 24 times, and got heads more than twelve times as often as tails.  How many…

A: Given Data: The number of times a coin is flipped is: N=24 Let, The number of times got head is H…

Q: A sixth grade class is having a pizza party. The teacher ordered 5 cheese pizzas, 5 pepperoni and 5…

A: Fractions are used to symbolize a part of a whole.

Q: If the first chapter of a certain book is 30 pages long and makes up 10% of the book, how many pages…

A: Given that, the first chapter of a certain book is 30 pages long and makes up 10% of the book.

Q: Rebecca has a collection of basketball cards. When she puts them in piles of two, she has one card…

A: Given: When she puts the basketball cards in piles of 2 there is one card left. Similarly when she…

Q: f n ∈ n and n<2000 , how many numbers n have the property that the sum of the digits of n and the…

A: Given, if n∈ℕ and  n&lt;2000.

Q: John is twice as old as his friend Peter. Peter is 5 years older than Alice. In 5 years, John will…

A: Consider John's age as J, Peter age's as P and Alice age as A. From given, J=2P, P=A+5 and J+5=3A.

Q: A restaurant offers a pasta deal where you choose a type of pasta, a sauce, and two additional…

A: Given that the restaurant offers a pasta deal where you choose a type of pasta, a sauce, and two…

Q: In a certain class there are a total of 29 majors in mathematics, 21 majors in philosophy, and 7…

A:

Q: have 7 cats and take away 3 how many would i have left

A: Given : Total number of cats = 7

Q: miner finally struck gold, taking 1 oz. of gold the first week, 2 oz. the second week, and 4 the…

A: Given query is to find the amount of gold taken out in 10th week.

Q: Four married couples have bought 8 seats in the same row for a concert. In how many different ways…

A: Four married couples have bought 8 seats in the same row for a concert. There are two possibilities…

Q: 2. In a basketball league consisting of 10 teams, each team plays each of the other teams exactly…

A:

Q: A basketball fan has a pair of tickets to 6 different home GAMes of the Los Angeles Lakers. If the…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: soccer team is playing a game in a stadium. The team fills a total of 592 seats on one side of the…

A: Given query is to find the number of rows used.

Q: A woman with a basket of eggs finds that if she removes the eggs from the basket 5 or 11 at a time,…

A: Euclid division lemma states that if a, b, q and r are set of integers then   a=b q +r, where…

Q: 1. Andrea enjoyed reading the Dark Tower series by Stephen King, so I know she will like his next…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Two 10 member basketball teams play a game. After the game, each of the members of the winning team…

A: Given:Total number of members in two basketball team is 10 and every member shook hands only once…

Q: in a baseball league consisting of 10 teams plays each of the other teams exactly three times . How…

A: Combination formula : nCr = n! /(n-r)! r!

Q: (a) If first prize is $100, second prize is $80, and third prize is $30, in how many different ways…

A: Given: People buy raffle tickets = 200

Q: 2. In a basketball league consisting of 10 teams, each team play each of the other teams exactly…

A: Given information: Total teams=10 Each team of the other teams exactly three times.

Q: According to the authors of a certain​ book, in a global village of 200 ​people, 27 suffer from…

A: We can find the answer as below.

Q: Two cards are drawn from a deck. Number of times the first card is six and the second card is red in…

A: Given that  number of times the first card is six and second card is red

Q: In how many ways can two admirals, three generals, and four lieutenants can be seated in a row of…

A:

Q: in how many ways can 2 children and 5 adults be seated in a row if the children must be seated at…

A: Given that there are 2 children and 5 adults.

Q: am three times as old as my son.Five years later,I shall be two and half times as old as my son.How…

A: I am three times as old as my son.Five years later,I shall be two and half times as old as my…

Q: Suppose  a culture of 300 bacteria is put in a petri dish and the culture doubles every hour.…

A: Given: - A culture of 300 bacteria is put in a petri dish and the culture doubles every hour. To…

Q: How many different ways can a visiting nurse visit 10 patients if she wants to visit them all in one…

A: A visiting nurse can visit 10 patients in 10! ways in one day.