Textbooks from seven different subjects are to be arranged randomly in a bookshelf. What is the probability that in the arrangement exactly one textbook separates the textbooks for math and english?

Q: If 5 cards are dealt from a standard deck of 52 cards, what is the probability that 3 are red and 2…

A: Given information: 5 cards are dealt from a standard deck of 52 cards. Need to find the probability…

Q: If 8 different books are arranged at random on a shelf, what is the probability that a certain pair…

A: The number of books are 8.

Q: in Georgia, 88% of all household have television. 51% of all households have a television and an…

A: Using Bayse's theorem; P(B/A) = P(A and B)/ P(A)   p(A)=Probability of having a television p(B)=…

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: A cooler contains 100 ice cream bars. There are 20 Vanilla bars, 40 Mint Chocolate Chip bars, 30…

A: Probability of an event: Probability of an event n is defined as,  Pn=(Number of favorable events)/…

Q: A six person committee must be formed from a group of 6 boys and 7 girls. Determine the probability…

A: A six person committee must be formed from a group of 6 boys and 7 girls Total students = 6 + 7 = 13…

Q: In a small private​ school, 6 students are randomly selected from 14 available students. What is the…

A: no of ways selecting r items from n is C(n,r)

Q: On a deck of 52 playing cards, what is the probability of drawing either a heart or a club, then a…

A:

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: In a deck of cards, Kings, Queens and Jacks are called the face cards. If 4 cards are randomly…

A: There are total 12 face cards in a deck of cards. Because 3 of each suit. And there are 4 suits. So…

Q: In a particular class, there are 12 freshmen, 6 sophomores, 4 juniors, and 2 seniors. If the…

A: Given,no.of freshmen=12no.of sophomores=6no.of juniors=4no.of seniors=2total no.of students =24

Q: If 3 people are randomly selected from all the people in the four cities, what is the probability…

A: From the bar chart, it is clear that 42.767 (in thousands) are from Edmonds and 56.752 (in…

Q: A change jar holds 20 nickels, 16 dimes and 14 quarters. What is the probability that a nickel will…

A: Given : nickels = 20 dimes = 16 quarters = 14

Q: 1. Mario has 45 red chips, 12 blue chips, and 24 white chips. What is the probability that Mario…

A:

Q: If 7 different customers A, B, C, D, E, F, and G arrive for service at random order, what is the…

A: If 7 different customers A, B, C, D, E, F and G arrive for service at random order, what is the…

Q: In a small private school, 3 students are randomly selected from 11 available students. What is the…

A: Assume that all the 11 available students have different ages. S ne the sample space of selecting 3…

Q: In a group of 103 students, 34 are diploma level and 22 are bachelor level. Find the probability…

A: Given that Group of 103 students 34 are diploma level and 22 are bachelor level Now, the number of…

Q: From a standard deck of cards, four cards are drawn together at random. What is the probability that…

A:

Q: Tina draws a card at random from a deck of cards numbered from 1 to 30. What is the probability of…

A: The total number of cards is 30. The numbers divisible by 5 are 5,10,15,20,25 and 30. That is,…

Q: A closet contains 10 pairs of shoes. If 8 shoes are selected randomly, what is the probability that…

A: We will use a combination here to find the respective probability.

Q: In a small private school, 5 students are randomly selected from 12 available students. What is the…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: Suppose that 85% of people are voting in the election. If you pick two people at random, what is the…

A: Obtain the probability that they both are voting in the election.   The probability that they both…

Q: Out of forty student, 14 are taking English composition and 29 are taking Chemistry. If five…

A:

Q: What is the probability that in 100 spins the number of grand prizes is 27 or more

A:

Q: A jar contains four red marbles, five green marbles, and three blue marbles. If one marble is…

A:

Q: (b) What is the probability that exactly 4 of the same color are drawn?

A: We have given that  A deck of cards contains 24 cards: 10 red cards and 14 black cards. 5 cards are…

Q: In a small private​ school, 4 students are randomly selected from 18 available students. What is the…

A: Solution: Given information: n= 18 available students  4 students are randomly selected.

Q: There are eight cars and four trucks in a parking lot. Seven vehicles are chosen at random to place…

A: Total number of vehicles = 12 Number of cars = 8 Number of trucks = 4 Sample size = 7

Q: Of 100 job applicants to the United Nations, 20 speak French, 30 speak German, and 14 speak both…

A:

Q: At a car manufacturing plant, 20% of cars have some sort of defect when they come off the line. If…

A: Given dataProbability of defect in a car(p) = 0.20n = 99According to Binomial theoremProbability of…

Q: A bag with 6 marbles is shown below(3 marbles are red, 1 is yellow, and 2 are blue) a marble is…

A:

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: From a bag containing 5 nickels, 8 dimes, and 7 quarter's, 5 coins are drawn at random all at once.…

A:

Q: If a child is given cards with A, C, D, G, 0, and T on them, what is the probability he or she could…

A:

Q: In a group of dogs, 20 dogs are poodles and 30 dogs are beagles. If a dog is selected at random,…

A: We want to find the probability a beagle is selected

Q: In a small private​ school, 4 students are randomly selected from 14 available students. What is the…

A: Solution: Total number of available students n = 14 r =4

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: In Sipadan, Malaysia, there is a national park where up to 100 dolphins can be found. Suppose we…

A: The total number of dolphins in the park is 100. a. Since the number of female dolphins is 10. The…

Q: If there are 64,864,800 words in the English language, what is the probability that a randomly…

A: Given, Total no. of words=64,864,800 Let P(n) be the probability of randomly selecting a word that…

Q: In a box, there are 8 orange, 7 white, and 6 blue balls. If a ball is picked up randomly, what is…

A: Given info: In the box, there are 8 orange, 7 white, and 6 blue balls.

Q: A bag contains 9 RED beads, 4 BLUE beads, and 8 GREEN beads. If a single bead is picked at random,…

A:

Q: In a small private school, 5 students are randomly selected from 14 available students. What is the…

A: Given that, 5 students are randomly selected from 14 available students.Here, we can use binomial…

Q: An urn contains 40 red balls, 30 green balls, 25 blue balls, and 10 yellow balls. If Alicia randomly…

A: Given, A urn contains 40 red balls, 30 green balls, 25 blue balls and 10 yellow balls. Probability =…

Q: In a deck of Uno cards, there are 76 number cards, 24 action cards, and 8 wild cards. If you select…

A: It is given that Number of number cards = 76 Number of action cards = 24 Number of wild cards = 8…

Q: 3. A bowl contains 8 Nips®, 3 blue, 1 yellow, 1 red, 1 green, and 2 black. If a child picks one Nips…

A: Given that  Total nips=8 Blue nips=3 Yellow nips=1 Red nips=1 Green nips=1 Black nips=2 Note:…

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

A:

Q: From a bag containing 3 white, 4 black and 5 red marbles, a marble is drawn. Find the probability…

A: Given,  A bag containing 3 white, 4 black and 5 red marbles. We define white marbles is W =3 Black…