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: The pool of students in a calculus class consist of 22 sophomore and 8 freshmen. If seven students…

A: Let the students of sophomore year be denoted by S and freshmen be denoted by F.   Given: Number of…

Q: What is the probability of four hearts in a row from a standard deck when the drawn card is returned…

A: We have to find the probability of four hearts in a row from a standard deck when the drawn card is…

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

A:

Q: When 5 digits( between 0 and 9) are randomly selected with replacement for a lottery ticket, what is…

A:

Q: An after-school club sonsists of 10 juniors and 12 seniors. If 2 students are chosen at random to…

A:

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: 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: if you randomly choose one bean, do NOT replace it, and randomly choose another, what is the…

A: Given: 20 jelly beans in a jar: 2 yellow, 3 blue, 4 green, 5 red, 6 orange  Without Replacement we…

Q: In a bag full of 10 marbles, 5 are yellow, 3 are blue and 2 are green. An individual picks two from…

A: A bag full of 10 marbles of which 5 are yellow, 3 are blue and 2 are green.It is given that the…

Q: A couple decided to have 5 children. (a) What is the probability that they will have at least one…

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Q: What is the probability that any card picked at random from a standard deck of 52 will be a club?

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Q: A committee of 2 is chosen at random from a population of 4 men and 5 women. What is the probability…

A: given data, A committee of 2 is chosen at random from a population4 men5 women9-total members the…

Q: What  is the probability that a hand of 5 cards chosen at random from a standard deck of 52 cards…

A: The 5 cards chosen need to have an odd number of cards from each of the four suits. There are 4…

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

A: Given that, a closet contains 10 pairs of shoes mean there are 20 shoes in closet. The possible…

Q: A group of families that have 3 kids are in a group. What family that has three girls, given the…

A: Topic = Probability

Q: There are 400 seniors in highschool, of which 180 are males. It is known that 85% of the males and…

A: Given,

Q: If 10 people choose, at random, a letter from the English alphabet of 26 letters, what is the…

A: We find the probability that each of the 10 people chooses a different letter from the English…

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.