One hundred eighty-five people each purchased one raffle ticket. Three winning tickets are randomly selected. If the first price is $500, the second prize is $300, and the third prize is $100, in how many different ways can the prizes be awarded.

Q: The University of Montana ski team has twelve entrants in a men's downhill ski event. The coach…

A: There are 12 entrants in a ski event and from these entrants first, second and third places to go to…

Q: A regional honor society selected high school students from four cities. Fifteen percent of the…

A: Let there are total x students.  According to the question: 15% are from Arden. So 15% of x=0.15x…

Q: At one family reunion, every niece was a cousin. Half of all aunts were cousins. Half of all cousins…

A:

Q: Twelve people are on a committee. If five of them are to be chosen to serve on a subcommittee, how…

A: There are total 12 people.  Since it is a group of people so order does not matter. So we will use…

Q: Kevin finds 10 shirts in his size at a clearance sale. How many different purchases could he make

A: Since the number of shirts that he needs to purchase is not mentioned, we break the answer into 10…

Q: A raffle is has four prizes: $500, $250, $100 and $50. If 100 people enter the raffle, in how many…

A: A raffle has four prizes, such that, $500, $250, $100 and $50.

Q: Matt took clothes to the cleaners three times last month. First, he brought 4 shirts and 1 pair of…

A: Let Charge of One shirt = x Let Charge of one pair of slacks = y Let Charge of one sports coat = z…

Q: race with 28 entries awards prizes to the three fastest (first through third place). How many…

A: Number of prizes = 3

Q: A man went to Atlantic City with $2000 and placed 100 bets of $20 each, one after another, on the…

A: From the given information,

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: Please answer step by step. Thank you! Decide the number of possibilities of the given situation:…

A: It is required to pick 3 questions from a bank of 39 questions. n=39 r=3

Q: There are 12 applicants for 4 scholarships for 4 different amounts: $100,000 and $80,000 and $60,000…

A: Total applicants = 12  For 4 scholarships for 4 different amounts  How many different groups of…

Q: 20 fifth graders compete in a spelling bee. If there is a gold medal, silver medal, and bronze medal…

A: We have  Medals = 3 Positions = 3

Q: How

A: Please find the answer in the next step

Q: A farmer was asked how many chickens he had sold at market that day. His reply was: "I've had four…

A:

Q: 30% of Grandpa Neil's stamps have images of flags on them. If he has 75 flag stamps, how many stamps…

A: In question, Given that 30% of Grandpa Neil's stamps have images of flags on them. If he has 75 flag…

Q: Ten students are chosen to compete for seven scholarships: one is for $5,000, two is for $3,500…

A:

Q: A survey asked 1,000 people if they invested in Stocks or Bonds for retirement. 700 said they…

A: From given : Total surveyed = 1000 Invested in stocks only = 700 - 300 (invested in both) = 400…

Q: A teacher gives a test with 17 questions. Students are allowed to choose any thirteen to answer. How…

A:

Q: In a multiple-choice exam; There are 90 questions; Two marks are awarded for each correct answer,…

A:

Q: The jar of change contains: pennies,  nickels,  dimes, and  quarters. If you grab five coins from…

A:

Q: attend

A: Suppose, 100x students attend the college. So, 56% students are from in-state implies, the number of…

Q: customer at a bookstore is choosing four paperback novels to take on a trip, from a shelf containing…

A: We have to find no. Of combinations possible.

Q: 26th most disliked video on YouTube.  If 1% of the people who disliked the video are male former…

A:

Q: In a 10 team tournament, trophies are to be given to the top 3 places. In how many ways can the…

A: Given: There are 10 teams in the tournament and trophies are to be given to the top 3 places. Find…

Q: The Moore family received 31 pieces of mail on April 27. The mail consisted of letters, bills,…

A: Moore family recieved 31 pieces of mail mail consists of letters (L), bills (B) , Magazines (M) and…

Q: t the Harris Burger Bar each customer designs their own burger by choosing: one from two types of…

A: Solution: Given information: The customers designs their own burger by choosing: one from two types…

Q: There are 30 people competing in a race. The top 3 get a spot on the podium. How many different ways…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set of…

Q: four people are tkaing a road trip. two sit in the front seat and two sit in the back seat. three of…

A: Given thatfour people are tkaing a road trip. two sit in the front seat and two sit in the back…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.