horse race, eight horses are running. Assume you have purchased a Trifecta ticket. (In Trifecta, the player selects three horses as first, second, and third place winners. To win, those three horses must finish the race in the precise order the player has selected.) How many possibilities of a Trifecta exist?

Q: In a cooking competition called Heaven's Kitchen, two teams compete against each other to serve a…

A: Solution: Given information: n1= 131  Sample size of Ruby team n2= 170 Sample size of  Sapphire team…

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A: It is given that there are one hundred twenty people each purchased one raffle ticket. Total number…

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Q: A fair coin is tossed 5 times and the sequence of heads and tails is observed. How many outcomes…

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Q: The Greater Tacoma Quidditch Club hosted the World Quidditch Club Tournament.  a)The tournament…

A: The solution is given below:

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A: Please refer the attached image for complete solution.

Q: 25 people purchase raffle tickets. Three winning tickets are selected at random. If first prize is…

A: 25 people purchase raffle tickets. Three winning tickets are selected at random. If first prize is…

Q: There are three dice rolled at the same time. b. How many possible outcomes are there if the desired…

A:

Q: 12 Laura visited a create-your-own pizza parlor Find the number of different pizzas she can create…

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

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A:

Q: Because of increased giving, a college scholarship program awarded two more scholarships this year…

A: Given, A college scholarship program awarded two more scholarships this year than last year. A total…

Q: One hundred twenty-five people each purchased one raffle ticket. Three winning tickets are randomly…

A:

Q: (combination) From a deck of 52 playing cards, 5 cards are to be drawn. a. How many 5-cards hands…

A: We have a  deck of 52 playing cards.  We draw 5 cards. Now, the number of ways to choose r things…

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A:

Q: A gold, a silver, and a bronze medal are awarded in an Olympic event. In how many possible ways can…

A: The explanation of answer as follows :-

Q: A game is played by rolling 2 die, one red and the other blue, then adding the results. (A). How…

A: a) Red die can have total of 6 outcomes (1,2,3,4,5,6) Similarly, the blue die can have 6 outcomes…

Q: 80% of the managers in an international company have traveled abroud, 60% of them can speak q…

A:

Q: Four hundred people buy raffle tickets. Three winning tickets will be drawn at random. (a) If first…

A: Given: People buy raffle tickets = 400

Q: 8 people stand in line at a movie theater. Into how many different orders can they be arranged? 40…

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Q: One hundred people purchase lottery tickets Three winning tickets will be selected at random If for…

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Q: There are three dice rolled at the same time. b. How many possible outcomes are there if the…

A: Given that, There are three dice rolled at the same time.

Q: 5. Lisa invites 5 friends over to her house on very short notice so they may not all be able to come…

A: The combination is a technique to determine the number of probable arrangements from a set of…

Q: 4. A Graduation Committee consists of n students and 6 teachers. If there are 420 ways to select two…

A: It is given that  Number of students = n Number of teachers = 6 The number of ways to select 2…

Q: In a particular year, a total of 56,309 students studied in two of the most popular host countries…

A: To find the number of students studied abroad in each country.

Q: Six people gathered to watch at a rally campaign and eat on a food kiosk after the campaign. In how…

A: Six people gathered to watch at a rally campaign and eat on a food kiosk after the campaign.  We…

Q: State if the scenario involves a permutation or a combination. Then find the number of…

A: Given that  The student body of 215 students wants to elect two representatives. since it involves…

Q: The trifecta at most racetracks consists of selecting the​ first-, second-, and​ third-place…

A:

Q: A class has 13 ​students, of which 4 are seniors. How many committees of size 4 can be selected if…

A: Combination of n objects taken r at a time = n!(n-r)!r! where 0≤r≤n.

Q: 16. Apoker hand consists of 5 cards from a standard deck of 52 cards. Find the number of two of a…

A: There are total 13 denominations. {J,K,Q,A,2,3,4,5,6,7,8,9,10}.Each denomination has 4 cards.We can…

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Q: One hundred sixty-five people each purchased one raffle ticket. Three winning tickets are randomly…

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Q: . How many different ways are there of handing out the prizes if (a) the prizes are all the same?…

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Q: Decide whether the exercise involves permutations or​ combinations, and then solve the problem.   In…

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A: in following ways they can be seated

Q: In a bridge game, a hand consists of 13 cards taken from a deck of 52 cards. (i) A hand is balanced…

A: Total number of cards in the deck = 52 Number of suits = 4 Number of cards for each suit = 13

Q: You are running in a marathon with 28 total racers in which first, second, and third place are…

A: We have to find total outcomes for this race.

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: Gold, a silver, and a bronze medal are awarded in an Olympic event. In how many possible ways can…

A: Since here only 3 medals (Gold, Silver, and Bronze) are decided to award we have to select only 3…

Q: One hundred eighty-five people each purchased one raffle ticket. Three winning tickets are randomly…

A: Total number of tickets sold= 185 Given that the first price is $500, the second prize is $300, and…

Q: A class consists of 14 boys and 13 girls. They want to elect officers so that the president and…

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Q: 3. THINKSMARTER At Luke's school party, the children make teams of 5 to play a game. If there are 20…

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Q: Twenty-four people enter a tennis tournament. How many different first-round matches are possible if…

A: Given , 24 people enter a tennis tournament, and each can play with any other player.  It means 1st…

Q: The trifecta at most racetracks consist of selecting the first-, second-, and third-place finishers…

A:

Q: Using the roll of a six-sided die and the flip of a coin, in how many ways can you obtain a heads…

A: We have to find

Q: 02)• 20 students and the dean came to the cinema and want to sit in the same row, in which there are…

A: Given that, 20 students and the dean came to the cinema and want to sit in the same row, in which…

Q: Decide whether the exercise involves permutations or combinations, and then solve the problem. In a…

A: Given information- We have given that a club has 8 male and 16 female members. A 5-member committee…

Q: 13 If 4 marbles are picked randomly from a jar containing 5 blue marbles and 6 yellow marbles, in…

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