Randomly choosing a black sock or a small sock from a drawer in which half of the socks are black and half are white, and half of each color are small and half are large.

Q: You are creating a display in the window of the bookstore.  You have 12 best sellers that you can…

A: The number of different ways r distinct objects can be arranged from n objects is equal tonPr . The…

Q: A box of chocolates contains seven milk chocolates and eight dark chocolates. You randomly pick a…

A: It is given that Number of milk chocolates = 7 Number of dark chocolates = 8 Total chocolates = 15…

Q: An elementary school is offering 3 language classes: one in Spanish, one in French, and one in…

A: Let us assume that  U=all students S=Spanish  F=French G=German Given that:…

Q: Seating in a Movie Theater How many different ways can 5 people-A, B, C, D, and E-sit in a row at a…

A:

Q: You want to send postcards to 12 friends. In the shop there are only 3 kinds of postcards. In how…

A: a) There are 12 friends and for each friend there are 3 choices ∴ no of ways he can send is (3)12…

Q: Parks Committee: In the County of Eagleton, the City Council consists of 15 politicians: 7 of whom…

A: It is given that there are 15 politicians of which 7 are republican say R and rest which is 15-7=8…

Q: Panaderio Bakery is getting more and more orders for durian pies. The bakers made 6 durian pies in…

A: In this pattern we get the next term by adding 6 to the previous term

Q: A basket contains four apples, four peaches, and five pears. You randomly select and eat three…

A:

Q: A group of four friends goes to a restaurant for dinner. The restaurant offers 12 different main…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: A box of chocolates contains seven milk chocolates and eight dark chocolates. You randomly pick a…

A: Box contains 7 milk chocolates and 8 dark chocolates. Let Event A- Randomly picked chocolate is milk…

Q: Example 8. In a survey of Magazine 10,000 families it was found that 4000 families buy Magazine A,…

A:

Q: Poker Hands A poker hand consists of 5 cards from a standard deck of 52. Find the number of…

A: Step 2 of the problem: Since there are 4 cards of each denomination; therefore, there are C24=6 ways…

Q: 3. Recently, several long-time customers at the Sweet Haven Chocolate Company have complained about…

A: The conditional probability of happening of event A when event B already happened, can be expressed…

Q: 4.Management selection. A corporation plans to fill 2 different positions for​ vice-president, V1and…

A: find explanation below

Q: A sports collector attends a trading card show. There are two different types of cards on sale:…

A: We can form two inequalities for this question. He wants to spend at least $120 and not more than…

Q: 4) A bag contains four red marbles and three blue marbles. You randomly pick a marble and then…

A:

Q: 5. It is Kenneth's birthday, and he wants to treat himself by going out to restaurants over the…

A: Given: Kenneth wants to choose between restaurants : Steakhouse, buffet and pizzeria. But he only…

Q: A farmer wishes to test the effects of a new fertilizer on her tomato yield. She has four…

A: Treatments: In an experimental study the subjects are imposed certain experimental conditions, these…

Q: 5 actors and 8 actresses are available for a play which requires 3 male roles and 4 female roles.…

A: Permutation

Q: 2) A cooler contains eight sports drinks: four lemon-lime and four orange. One of the lemon-lime and…

A: Given, No of orange drinks = 4 No of lemon-lime drinks = 4 Total no of drinks = 8 No of orange…

Q: On Saturday's lunch rush at Ada's diner, they sold 233 sandwiches.  Of those sandwiches sold: 66…

A: Assume, K, S and C be the sets representing the sandwiches which include turkey, sprouts and…

Q: 2) A basket contains seven apples and eight peaches. You randomly select one piece of fruit and eat…

A:

Q: are running for mayor this year in a city with 350,000 households. You decide to campaign by going…

A: From the given information we want conclusion.

Q: A box of chocolates contains five milk chocolates, five dark chocolates, and three white chocolates.…

A: Here Box contain 5 milk chocolates, 3 white chocolates and 5 dark chocolates. the total number of…

Q: A sports collector attends a trading card show. There are two different types of cards on sale:…

A: 1 baseball, 10 basketball

Q: A vendor specializing in outdoor gear offers customers three ways to place orders for home delivery.…

A: Let X and Y be two discrete random variables defined over the sample space S. Then the function f(x,…

Q: Parks Committee: In the County of Eagleton, the City Council consists of 15 politicians: 7 of whom…

A: GivenThe total number of politicians =15The total number of Republicans =7The total number of…

Q: An elementary school is offering 3 language classes: one in Spanish, one in French, and one in…

A: Let us denote: U=all students S=spanish F=French  G=German Given that,…

Q: On Saturday's lunch rush at Ada's diner, they sold 292 sandwiches.  Of those sandwiches sold: 71…

A: Let's define the sandwiches as follows:  A = sandwiches included turkey  B = sandwiches included…

Q: How many ways exists to arrange the couples (B,F,H,M) at a round table such that: (1) the four women…

A: There are four couples (B,F,H,M). We have to find in how many ways they can seat in the given…

Q: While selecting candy for students in his class, Professor Murphy must choose between gummy candy…

A: The product rule supposes that a task comprises of two procedures. if the first procedure can be…

Q: 7. In a chess competition involving some men and women, every player needs to play exactly one game…

A:

Q: randomly drawing three green skittles in a row from a bag that contains eight green skittles out of…

A: Given that a bag contains 25 skittles in which eight are green. Three green skittles are drawn from…

Q: Chess clubs of two schools, School A and School B, consist of 5 and 20 players, respectively. If in…

A: Using the fact that n!=n·n-1···2·1. From the school A, 5 players can be chosen in 1 way. Number of…

Q: A pizza restaurant is offering a promotion in which you can order a large pizza and your choice of a…

A: Let m choices to be made with n1 options for the 1st choice, n2 options for the 2nd choice, … , nm…

Q: Randomly meeting either man or a Republican in a group composed of 20 Democratic men, 50 Republican…

A:

Q: An advisory committee is being formed for a new project at a company. The committee has 6 identical…

A: Given, A committee has 6 identical positions to be filled. Total employees in Research and…

Q: 13. Knowing that some passengers with tickets won't show up for a flight, airlines often "overbook"…

A: Given: Total number of tickets sold (n) = 24 Probability of showing up (p) = 0.80 Let X be the…

Q: A sporting goods store announces a "Wheel of Savings" sale. Customers select the merchandise they…

A: The number of regions in the wheel is equal to 12 and the probability of the spin landing on any of…

Q: At the start of the month, a dealer purchases four batteries and your warehouse staff selects…

A: Given, At the start of December, the warehouse contains 10 batteries, 3 of which are not fully…

Q: A cooler contains thirteen bottles of sports drink: eight lemon-lime flavored and five orange…

A: Here as PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION  Here use basic of probability Probability…

Q: Suspension of classes is announced through text brigade. One stormy day, the principal announces the…

A: Given, Principal sent message to two class teachers  text messages were sent in five rounds,…

Q: 3. A survey of 1,035 tourists visiting Orlando was taken. Of those surveyed: 255 tourists had…

A: 3. Obtain the number of tourists only visited the Magic kingdom.   The number of tourists only…

Q: 22) A basket contains five apples, four peaches, and five pears. You randomly select and eat three…

A: Given,no.of apples=5no.of peaches=4no.of pears=5Total no.of fruits=14

Q: A game of “Doubles-Doubles” is played with two dice. Whenever a player rolls two dice and both die…

A: Given the game of “Doubles-Doubles” is played with two dice.

Q: A customer at a pizza shop wants to order a pizza. A pizza consists of choosing a crust, a type of…

A: There are three choices two choose the pizza: 1. There are 4 choices for crust, 2. There are 5…

Q: Getting a defective item when two items are randomly selected from a box of two  defective and three…

A: As per company guidelines I solved only First questions..thank you

Q: 37. An agricultural scientist wanted to compare the effect of a new fertilizer to that of three…

A: Given information: Two hundred green bean seedlings were individually planted in identical pots and…

Q: A sporting goods store announces a "Wheel of Savings" sale. Customers select the merchandise they…

A: Number of sections in the wheel of savings = 12 Number of sections awarded 20% discount = 3