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: What is the probability of rolling a 3 on a number cube and choosing a heart from a deck of cards?

A: Recall:  P(A and B)=P(A∩B)=P(A)×P(B)

Q: 10 animals are randomly put into a line. There are 3 cats and 4 dogs. What is the probability all…

A: Solution

Q: A card is randomly selected from a standard deck of 52. What is the probability that the card is…

A: Given: A card is randomly selected from a standard deck of 52.

Q: If 14% of active duty soldiers in the U.S. Army are women, find the probability that if four…

A: Let X represent the random variable   n=4 p=0.14   X~ Binomial (4, 0.14)

Q: Four persons are sitting at a rectangular table. What is the probability that the two older people…

A: From the given information we find the probability.

Q: Four cards are chosen from a standard deck of 52 playing cards with replacement. What is the…

A:

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

A: In a deck of 52 cards, there are 4 kings and 4 queens.  So total number of kings or queens= (4+4)=8…

Q: What is the probability of flipping a fair coin and getting heads twice in a row?

A: Flip a fair coinP(Heads twice in a row) = ? for fair coin P(Head)=P(Tail)) = 0.5

Q: A jar contains 12 marbles: four red, five blue, and three orange. If you pull three marbles without…

A:

Q: what is the probability that the chosen student is a psychology or anthropology student ?

A: Given that Number of anthropology students = 7 Number of socialogy students = 3 Number of psychology…

Q: when a coin is tossed

A: A coin is tossed 2 times.

Q: Select one card from a deck of well-shuffled cards. What is the probability we select a Diamond or a…

A: Deck consists of 52 cards. n(S)=52 Let D be event that card is diamond. n(D)=13 Let H be event that…

Q: If you know the names of the remaining 10 students in the spelling bee, what is the probability of…

A: You have 10 choices for the first student * 9 choices for the 2nd student * 8 choices for the 3rd…

Q: Dario puts 44 marbles in a box in which 14 are red, 12 are blue, and 18 are yellow. If Dario picks…

A:

Q: In a large city there are an average of 02 fires per year. What is the probability that next year…

A: Solution: Let X be the number of fires per year. From the given information, average number of fires…

Q: What is the probability that a randomly selected student from a university with 60% female and 40%…

A:

Q: A bag contains 8 books. 3 are economics, 2 are English, and 3 are math. A book is selected at…

A: Introduction Probability: Probability helps us in knowing the chances of an outcome from a trial.…

Q: In a state legislature the elected representative include 17 Democrats, 13 Republicans, and 4…

A: Given  Elected representatives(34)=17(Democrat)+13(Republican)+4(independent)

Q: Two cards are randomly selected from a deck of 52 cards. What is the probability that the two cards…

A: Given two cards are randomly selected from a deck of 52 cards. We have to find the probability that…

Q: If you pick a card from a standard deck of cards, what is the probability of picking the 3 of…

A: Given that Number of cards in a deck  n(S)=52 We have to find the probability that  picking the 3 of…

Q: A bag of m&M's has 3 red, 6 green, 8 blue and 7 yellow m&M's  What is the probability of randomly…

A: From the provided information, A bag of M&M's has 3 red, 6 green, 8 blue and 7 yellow M&M's.…

Q: 7 people, including Dexter and Darwin, have put their name in a lottery to win free bagels. If 4…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: A city council consists of 4 democrats and 6 republicans. A committee of 3 to study transportation…

A: We have given that Number of democrats = 4 Number of republicans = 6 Total number= 4+6 = 10

Q: Alice has 8 pennies, 4 nickels, 2 dimes, and 6 quarters in her pocket. If one coin is drawn…

A:

Q: jar of marbles contains 5 pink, 9 green, 13 blue, and 3 orange marbles. If a marble is randomly…

A: According to the given information in this question We need to find the following probability

Q: Select one card from a deck of well-shuffled cards. What is the probability we select a face or a…

A: Given : Let A be the event of getting face card from a deck of well-shuffled cards  P(A) = 1252 Let…

Q: A wooden box contains 17 red cubes, 20 blue cubes, 34 yellow cubes and 41 green cubes, what is the…

A: given,no.of red cubes=17no.of blue cubes=20no.of yellow cubes=34no.of green cubes=41total no.of…

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

A:

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: A group consists of 10 girls and 8 boys. They are to sit sit side by side on a bench. What is the…

A: Given that there are 10 girls and 8 boys. So total (10+8)=18 girls and boys. So 18 persons can be…

Q: a small private school, 4 students are selected from 16 available students. What is the probability…

A: Given data, Total Number of students n=16 Number of students selected is r=4 What is the probability…

Q: Suppose we pick one card from a deck of cards, what is the probability of getting a King or a Spade?

A:

Q: A class consists of 10 males and 30 females. If one student is randomly selected from the class,…

A: We have given the  that  10 males  30 females  Total = 40

Q: If one card is randomly chosen from a standard deck, what is the probability that a six or a king is…

A: Given information- We have given an ordinary deck of cards. In an ordinary deck consist of 52 cards.…

Q: Suppose one card is drawn from a deck of 52 cards. What is the probability it is a queen or a five?

A:

Q: A class has 14 girls and 12 boys and a committee of 5 is chosen. What is the probability that this…

A: We have given that Number of girls = 14 Number of boys = 12 Total students = 12+14 = 26 We have to…

Q: A four-person committee is randomly selected from a pool of 19 Americans and 131 Canadians. What is…

A: Given: Number of Americans =19 Number of Canadians =131

Q: A four-person committee is randomly selected from a pool of 19 Americans and 13 Canadians. What is…

A: No.of Americans = 19  No.of Canadians  = 13 Total no.of persons = 32 (i.e. 13+19) Consider that…

Q: What is the probability of getting either a four or a five when drawing a single card from a deck of…

A:

Q: In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the…

A: From the given information, it is clear that There are, 8 red balls so, nR=8 7 blue red balls so,…