A closet contains 10 pairs of shoes. If 8 shoes are selected randomly, what is the probability that there will be (a) no complete pair? (b) Exactly one complete pair?

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: in a small private school, 4 students are randomly selected from 15 available students. what is the…

A: The number of combinations is: 15C4 = (15! / (4! (15−4)!) 15C4 = 1365

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: If two cards are randomly chosen from a standard deck, what is the probability that a 6 is chosen,…

A:

Q: In a small private​ school, 4 students are randomly selected from 11 available students. What is the…

A: Given that, N=11 R=4 Number of youngest students among the available students = 4

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: 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: What is the probability that any two peas aregreen and two are yellow in a pea pod with exactly four…

A: For each pea, there are 2 options green and yellow.  Let us denote G=green and Y=yellow So the…

Q: A box contains 8 bulbs, of which 5 are good and 3 are defective. If 3 bulbs are randomly taken from…

A: Given that  Total bulbs=8 Good bulbs=5 Defective bulbs=3 3 bulbs are chosen at random

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

A: The Binomial probability distribution is: PX=xnxpx1-pn-x In the formula, n denotes the number of…

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

A: Given Dario puts 44 marbles in a box in which 14 are red, 12 are blue, 18 are yellow.

Q: If an urn has 5 white balls and 10 red balls, what is the probability that 5 randomly selected balls…

A: Given that there are 5 white balls and 10 red balls. Total number of balls is 5+10=15. And 5 balls…

Q: In a nearby​ town, 68​% of adults have health insurance. If 7 adults are randomly selected from the​…

A: Here p =P(having health insurance) = 68% =0.68

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 we draw a 5-card hand from a standard 52 card deck, what is the probability that all 5 cards are…

A: There are total 13 hearts in a standard deck of 52 cards.

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: A box contains 20 DVDS, 4 of which are defective. If two DVDS are selected at random (without…

A:

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: What is the probability that you draw a red marble?: What is the probability that you choose exactly…

A: There are 19 marbles in a jar in which 4 red, 10 green, and 5 blue. The probability that draw a red…

Q: A single card is selected from a standard deck of 52 cards. What is the probability that it is a 9?

A: Answer - A single card is selected from a standard deck of 52 cards.                What is the…

Q: In a group of 5 people, what is the probability that at least two of them have the same birthday?…

A: Given: group of 5 people group of 50 people  we want to find probability that at least two have the…

Q: If an urn has 5 white balls, 10 red balls, and 6 green balls, what is the probability that 4…

A:

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

A:

Q: If 5 people get on an elevator which will stop on 9 floors, a) what is the probability that no…

A: Given 5 people get on a elevator which will stop on 9 floors. We need to find probability that no…

Q: A well-shuffled deck contains 52 cards. Suppose two decks are shuffled simultaneously and two cards…

A: Reviewing information, Cards in a deck =522 cards are drawn from 2 simultaneously shuffled decks

Q: If 5 cards are drawn from a standard deck of playing cards, what is the probability that exactly 3…

A:

Q: In genetics class, 6 students have green eyes, 3 students have blue eyes, and 11 have hazel eyes. If…

A: In genetics class, 6 students have green eyes, 3 students have blue eyes, and 11 have hazel eyes. If…

Q: Suppose you shuffle a deck of cards and set it down on the table. (c) What is the probability that…

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: If 9 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that exactly…

A: Solution: A standard deck of 52 playing cards contains 4 kings and 52–4=48 are non-kings. Here, 9…

Q: A card is chosen at random from a standard 52-card deck of playing cards. What is the probability…

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: A factory produces candies, and 21% are blue. In the factory, the candies are randomly mixed…

A: Let X be the number of blue candies in the box, that follows binomial distribution with n=29 and…

Q: if three balls are drawn at random, what is the probability that at least one of them is blue?

A: Three balls are randomly drawn from the box.The probability of at least one of them is blue can be…

Q: If three coins are​ flipped, what is the probability of obtaining at least one head​?

A:

Q: closet contains 8 pair of shoes. If 4 shoes are randomly selected, what is the probability that…

A: Here use combination for ans the question

Q: In a secondary school, 65% of students who is studying in an art course have purchased a drawing…

A:

Q: If 5 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that at most…

A: Introduction : An ordinary deck of 52 playing cards contain 12 face cards. Remaining 52–12=40 are…

Q: A card is selected at random in a standard deck of 52 cards. What is the probability of selecting a…

A: The number of cards in a deck is 52. In these 52 cards number of red cards is 26 and number of black…

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: If 4 cards are dealta from a standard deck of 52 cards, what is the probability thatthat 3 will be…

A: According to formula of combination, the number of ways to select r objects from n objects is equal…

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 a ball is selected at random from an urn containing three red balls, two white balls, and five…

A: According to the provided information, there are 3 red balls, 2 white balls, and 5 blue balls

Q: If 13 cards are drawn from a deck, what is the probability that at least 2 of the cards are hearts?

A:

Q: What is the probability that at least one of the next four cars that enter the lot is a sedan?

A: Ramon is a parking lot attendant. He estimates that 30% of the cars in the lot are sedans, 10% are…

Q: If eight coins are​ flipped, what is the probability of obtaining at least one head​?

A: Given information- We have given 8 coins. We know that- Probability of getting head (p) = 1/2 = 0.5…

Q: If 12 coins are tossed, what is the probability that six of them will be heads (approximately)?

A: Number of times coin is tossed = 12 Probability of getting head in single toss =0.5 Probability of…

Q: A box contains 20 DVDs, 4 of which are defective. If two DVDs are selected at random (without…

A: Given,no.of defective DVDs=4no.of good DVDs=16Total no.of DVDs=20

Q: If we draw 10 cards for my standard 52 card deck, what is the probability that all 10 cards are…

A: Let, x is the number of cards drawn, 10. y is the number of cards of hearts. The total number of…