If 8 different books are arranged at random on a shelf, what is the probability that a certain pair of books (a) will be beside each other? (b) will not be together?

Q: Suppose that 55% of people own dogs. If you pick two people at random, what is the probability that…

A: Given that 55% of the people own dogs. There are two people. Let us define the binomial random…

Q: A deck of cards contains 24 cards where 4 are red. If 6 cards are drawn at random without…

A: We have given that a deck of cards contains 24 cards where 4 are red and rest(20) are non-red cards.…

Q: In a group of students, 70% are taking an English class and 19% are taking a Chemistry class. Among…

A: Given that, P(E)= 70% = 0.70 P(C)= 19%= 0.19 P(C/E)= 7%= 0.07 P(C Ω E)=?

Q: If out of 1000 houses only 1 house cathches fire in a year. What is the probability that out of 500…

A:

Q: Suppose that 11% of people are left handed. If 8 people are selected at random, what is the…

A: Here it is given that 11% of people are left handed. We need to find the probability of exactly 2…

Q: A survey of 1200 people in a city found that 720 people have invested in stocks, 480 people have…

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

Q: Suppose that 54% of people own dogs. If you pick two people at random, what is the probability that…

A: Given, 54% of the people own dog.That is

Q: If 1% of an airline’s flight suffers a minor equipment failure in an aircraft, what is the…

A: From the provided information, 1% of an airline’s flight suffers a minor equipment failure that is p…

Q: Three people are chosen at random.   What is the probability that at least two of them were born on…

A: For any event A and the sample space S, the probability can be found as,

Q: A school has 12 good runners of which 5 are girls. If four are chosen at random to represent the…

A: Given that a school has 12 good runners of which 5 are girls.  So (12-5)=7 are boys   We can select…

Q: For people are sitting around a table with two brothers.  How many different positions can they…

A: Given data four people are sitting around a table with two brothers

Q: From a box containing six black plates, eight white plates and ten blue plates, one plate is drawn…

A: Solution

Q: What is the probability that at least four of the next 5 cars get a green light

A: It is given that  Green light = 40 seconds Red light = 15 seconds Yellow light = 5 seconds

Q: Suppose that 7 cards are drawn from a​ well-shuffled deck of 52 cards. What is the probability that…

A: It is given that the number of cards are drawn from a well-shuffled deck of 52 cards is 7.

Q: Suppose that 8 cards are drawn from a​ well-shuffled deck of 52 cards. What is the probability that…

A: Total no. Of cards = 52 Total no.  Of cards to be chosen = 8 Total. No. Of favorable cards( i.e. no.…

Q: Suppose a jar contains 17 red marbles and 14 blue marbles. If you reach in the jar and pull out 2…

A: Here, a jar contains 17 red marbles and 14 blue marbles. Select 2 marbles at random.

Q: What is the probability that a student selected at random from the class is Married

A:

Q: what is the probability of getting at most one even-numbered card?

A:

Q: Suppose that 3 cards are drawn from a​ well-shuffled deck of 52 cards. What is the probability that…

A: In a standard deck of cards, there are a total of 52 cards out of which 13 cards are spades. The…

Q: Suppose that 65% of people own dogs. If you pick two people at random, what is the probability that…

A: We will assume independence.

Q: A 2​-card hand is dealt from a standard​ 52-card deck, and then one of the 2 cards is chosen at…

A: Total cards = 52 Total diamond card= 13 One card is selected and which is diamond. Thus, Total…

Q: What is the probability that two cards are selected at random from a deck of cards containing a face…

A: We have to find given probability

Q: What is the probability that when a coin is flipped eight times in a row, it lands heads up every…

A: Given,:  A coin is tossed 8 times with probability of head p(H)=1/2  Then what is the probability…

Q: cards are chosen at random from a deck without replacement, what is the probability that at least…

A: We know that  There are 52 card in the deck in which they divided into two color i.e red(26) and…

Q: There are 4 jacks in a standard deck of 52 playing cards. If Patricia selects a card at random, what…

A: There are 4 jacks in a standard deck of 52 cards.

Q: What is the probability of two people chosen at random being born on the same day of the week

A: Here we need to find out the probability of two people chosen at random being born on the same day…

Q: Suppose that the New England Colonials baseball team is equally likely to win a game as not to win…

A: Obtain the probability that exactly 4 of those games are won by the Colonials.   The probability…

Q: Suppose that 53% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: From a box containing five black balls and three green balls, three balls are drawn in succession,…

A:

Q: Nine new employees, two of whom are married to each other, are to be assigned nine desks that are…

A: There are total 9 employees. We can arrange them in 1 row in 9!=362880 ways If the couple have…

Q: a marble is selected at random from a jar containing 6 red marbles, 5 yellow marbles, and 4 green…

A: Given,  containing 6 red marbles, 5 yellow marbles, and 4 green marbles Probability= no. Of…

Q: A painting is selected at random from the three Manila painters, what is the probability that it won…

A:

Q: A bag contains 7 coins, of which 3 are fair; the remaining coin has a head on both sides. If a coin…

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

Q: Two cards are drawn at random on an ordinary deck of cards. What is the probability that both of…

A: GivenTotal no.of cards = 52No.of kings card in deck = 4No.of diamond cards in a deck = 13

Q: What is the probability that 3 heart cards can be drawn in succession from a deck of 52 cards?

A:

Q: Suppose that 4 people check their coats in a checkroom. If all claim checks are lost and the 4 coats…

A: From the provided information, There are 4 people. All people claim checks are lost and the 4 coats…

Q: Suppose that 65% of people are voting in the election. If you pick two people at random, what is the…

A:

Q: Suppose there is an average of one error per ten pages in each book published by a particular…

A: (1)   Let us define the random variable Y as the of number of errors and follows Poisson…

Q: A large cube is painted red from all its sides, and then cut into 27 smaller cubes (like a rubiks…

A:

Q: Suppose that 51% of people own dogs. if you pick two people at random what is the probability that…

A: Given: The value of 51% of people own dogs includes the pick two people at random. The probability…

Q: If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a…

A: From the provided information, Total books in a shelf = 5 + 3 + 1 = 9 If three books are picked at…

Q: Suppose that 5 cards are drawn from a well-shuffled deck of 52 cards. What is the probability that…

A: Given: We have standard 52 cards deck which contains 13 cards of each hearts, clubs, diamonds and…

Q: Suppose that 4 cards are drawn from a well shuffled deck of 52 cards. What is the probability that…

A:

Q: Suppose that 19% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: Suppose that the New England Colonials baseball team is equally likely to win a game as not to win…

A: Given: P(Win)=P(Not Win)=0.5 Number of games (n) = 4 Consider, X be the random variable that…

Q: Suppose that 6 cards are drawn from a​ well-shuffled deck of 52 cards. What is the probability that…

A: In the given question we have to find the probability of getting all 6 cards black from a deck of 52…

Q: Assume that you randomly select 8 cards from a deck of 52. What is the probability that all of…

A: Total cards in a standard deck = 52 Total diamonds cards = 13

Q: If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a…

A:

Q: A class has six students. What is the probability that at most four of the students were born on a…

A: We know that there are 7 days in a week. The number of weekdays=5 So the probability of having a…

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.