Party Mix DJ Marty T is hosting a party tonight and has chosen 8 songs for his final set (including “Daydream Believer” by the Monkees). How many different 8-song playlists are possible (song order matters)? If the 8 songs are randomly selected, what is the probability they are in alphabetical order by song title?

Q: A city council consists of five Democrats and six Republicans. If a committee of four people is…

A:

Q: The enrollment in Spring 2021 is 1400. If 550 students enrolled for Computing courses, 700 took…

A: We have to find given probability.

Q: chloe's bookshelf has 6 books by Smith and 8 books by jones. if she removes 4 books at random, what…

A: Given data: Total books = 6 +8  = 14 She removes 4 books randomly To find: The probability of…

Q: A shelf has 6 physics books and 5 mathematics books. Find the probability that 3 particular…

A: Given,no.of physics books=6no.of mathematics books=5total no.of books=11

Q: Anne has six balloons, one of which contains a prize. She randomly selects one of the balloons to…

A: Anne has six balloons, one of which contains a prize. We need to calculate the probability that…

Q: In one town, 28% of all voters are Democrats. If two voters are randomly selected for a survey, find…

A: Given that, Probability, p = 28% = 0.28 Sample size = 2

Q: A city council consists of five Democrats and eight Republicans. If a committee of five people is​…

A:

Q: A small choir has a tenor singer, 3 soprano singers, a baritone singer, and a mezzo-soprano singer.…

A: The term probability is defined as the chance of occurrence of an event. The probability value…

Q: John has four bottles: cola, root beer, ginger, orange drinks. He chooses three of these for a…

A: Let, C=cola R=root beet O=orange    Sample set={CR, RC, CO, OC, RO, OR}  n(S)=6

Q: In an assembly of 200 people there approximately 2% of them are civil engineers. If we randomly…

A: Givenn=200p=0.02x=no.of people being civil engineersx~Binomial(n=200,p=0.02)P(X=x)=Cxn px (1-p)n-x…

Q: A quiz consisting of four multiple-choice questions has four available options (a, b, c, or d) for…

A: Total number of question in the quiz =4 Number of available option               =4 Consider the…

Q: If you randomly select a letter from the phrase "Mario Kart on the Wii is fun," what is the…

A: Introduction: Probability of an event is the number of outcomes favorable to the event, divided by…

Q: The nine chips shown below are placed in a sack and then mixed up. Madeline draws one chip from this…

A: Given, The nine chips are placed in a sack and then mixed up.  Let have numbers 1, 2,3,4, 5,6,7,8,…

Q: A bag contains 5 hot pink marbles, 4 cobalt marbles, 6 periwinkle marbles, and 9 magenta marbles. If…

A: H = Number of hot pink marbles = 5 C = Number of cobalt marbles = 4 P = Number of periwinkle marbles…

Q: Three sixth grade, two seventh grade, and five eighth grade students were randomly arranged in a…

A: Given, 3 sixth grade, 2 seventh grade and 5 eighth grade students are there. => Total students =…

Q: Dad’s music collection includes 5 rock music albums, 3 classical music albums, and one love song…

A: 5 rock music albums  3 classical music albums  1 love song album ____________________________ 9…

Q: In one town, 44% of all voters are Democrats. If two voters are randomly selected for a survey, find…

A: Given that, 44% of all voters are Democrats.  Sample size, n = 2

Q: A music fan randomly selects 4CDs from a stack of 35, where 6 are by the same country western…

A: We have given that  A music fan randomly selects 4CDs from a stack of 35, where 6 are by the same…

Q: Find the probability that you will draw the 2 of diamonds first, 6 of hearts second, ace of spades…

A: The number of cards in a deck of cards is 52.

Q: Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, and Georgia are invited to a dinner party. They…

A: Total number of members invited to a dinner party = 7So, the total possible number of ways of…

Q: Taryn has 15 soccer trophies but she only has room to display 9 of them on a shelf. If she chooses…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment. It…

Q: Your IPOD contains 20% rap, 10% R&B, 40% rock, and 30% classical music. If you randomly select a…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: The results of a recent television survey of American TV households revealed that 90 out of every…

A:

Q: If you know the names of the remaining three students in the spelling bee, what is the probability…

A: The probability is the chance of an occurrence of an event. Given that, the names of three students…

Q: Each morning Papa notes the birds feeding on his birdfeeder. So far this month he has seen 59…

A:

Q: Daniel asks students in his class to name a favorite pet. The table shows the results of his survey.…

A: The data is provided for a survey in which Daniel asked students in his class to name a favorite…

Q: If you know the names of the remaining ten students in the spelling bee, what is the probability of…

A: To find: Probability of selecting the correct spelling bee order.

Q: What is the probability if you randomly select a handful of 4 candy pieces you will pick one of each…

A: Solution: From the given information, there are 5 brown candy pieces, 7 blue candy pieces, 3 red…

Q: Xerxes, Regina, Murray, Norah, Stav, Zeke, Cam, and Georgia  are invited to a dinner party.  They…

A: GIVEN DATA : Xerxes, Regina, Murray, Norah, Stav, Zeke, Cam, and Georgia arrive in a random order…

Q: Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, Stav, Zeke, and Georgia  are invited to a dinner…

A: We can solve this question using the concept of probability as below

Q: In the game of euchre, the deck consists of 9 , 10 , jack , queen , king and ace of each suit .…

A: Concept of probability:Probability deals with the likelihood of occurrence of a given event. The…

Q: Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, Stav, Zeke, Cam, and Georgia  are invited to a…

A: Since there are 10 people, the total number of ways that they can arrive is 10! Now, according to…

Q: An introductory nursing class has 9 freshman males, 15 freshman females, 8 sophomore males, and 12…

A: Given data, freshman males=9 freshman females=15 sophomore males=8 sophomore females=12 Total =44…

Q: A toy box contains 12 toys, 8 stuffed animals, and 3 board games. Shiena randomly chooses 2 toys for…

A: We have to find the probability of choosing 2 stuffed toys  in the first two choices from a box of…

Q: A closet contains four pairs of shoes. If four shoes are chosen at random, what is the probability…

A: It is given that a closet four pairs of shoes. Hence, the total number of shoes (n) would be 8.…

Q: Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, Stav, Zeke, Cam, and Georgia are invited to a…

A: Given data:   The total number of guests invited to the party is n=10.   The expression for the…

Q: a shelf has ten books: two mysteries, four romance novels, and four mathematics textbooks. if you…

A: Given that, Shelf contains ten books. N=10 Two mysteries Four romance novels Four mathematics text…

Q: 8. Dad's music collection includes 5 rock music albums, 3 classical music albums, and one love song…

A: It is given that the music collection includes Rock music albums = 5 Classical music albums = 3 Love…

Q: If a hockey player takes 78 shots and scores 16 goals, what would be the probability of this player…

A: Total numbers goals =16 number of trails = 78  The probability lies between 0 to 1,

Q: The composition of the Senate of the 111th Congress was: 41 Republicans, 2 Independents, and 57…

A: There are 41 Republicans, 2 Independents, and 57 Democrats.  Total number of senators is 41+2+57…

Q: DJ is hosting a party tonight with only 8 songs in his playlist. a) How many different 8-song…

A: A DJ is hosting a party tonight with only 8 songs in his playlist.

Q: If one card is drawn from an ordinary deck of cards, find the probability of getting a diamond or a…

A:

Q: if two cards are drawn, what is the probability of drawing 2 and then a

A: Total number of cards = 52 Total number of 2's = 4 Total number of 5's = 4

Q: If one card is randomly selected from a deck of cards, what is the probability of selecting a jack…

A: Concept of probability:Probability deals with the likelihood of occurrence of a given event. The…

Q: If you know the names of the remaining five students in the spelling​ bee, what is the probability…

A:

Q: Alfonso and Cordell each bought one raffle ticket at the state fair. If 50 tickets were randomly…

A: Alfonso can pick a ticket from 50 tickets in 50 ways.  When Alfonso picks a ticket then Cordell can…

Q: A fish pond at a carnival contains 72 angelfish​, 105 goldfish​, 39 tetras​, and 144 cory cats. If…

A:

Q: What is the probability of flipping a penny and a nickel and obtaining one head and one tail?

A:

Q: In a poker hand consisting of 5 cards, find the probability of holding (a) 2 jacks; (b) 1 heart and…

A: Since , there are 52 cards. We have , the poker hand consist of 5 cards. The total number of ways of…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.