What is the probability that two cards are selected at random from a deck of cards containing a face card and diamond without replacement?

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: What is the probability that a card drawn from a standard deck has an odd number on it or is red?…

A: From the provided information, Total cards in a standard deck = 52 Total red cards = 26 Total odd…

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 a 5 card hand is drawn from a standard deck of cards. What is the probability that there are…

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

Q: A jar contains 4 red marbles, 8 green marbles and 12 white marbles. If a marble is drawn from the…

A:

Q: A family was randomly chosen from a set of families having 5 children. What is the probability that…

A:

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

A: Solution

Q: Compute the probability that two or more students in a class of 20 students have the same birthday.

A: From the provided information, A class has 20 students. Assume that every year has 365 days. If the…

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: Two cards are drawn in succession from a deck without replacement. What is the probability that both…

A:

Q: Box A contains 5 red balls and 4 white balls. Box B contains 6 red balls and 5 white balls. If one…

A: The question is about Bayes' theorem Given : Box A : No. or red balls = 5 No. of white balls = 4 Box…

Q: A box contains 5 black balls and 10 red balls from which 3 balls were drawn with repetition, what is…

A:

Q: Suppose that 70% of a town’s population have brown eyes, 40% have black hair, and 30% have both…

A: We have given  that population have brown eyes = 70% =0.70 population have black hair = 40% = 0.40…

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

A:

Q: What is the probability that a waitress will refuse to serve alcoholic beverages to only 2 minors if…

A: It is been asked to find the probability that a waitress will refuse to serve alcoholic beverages to…

Q: If two cards are selected from a standard deck of 52 cards without replacement. What is the…

A:

Q: A manufacturing machine has a 10% defect rate. If 3 items are chosen at random, what is the…

A: 1) It is given that p=0.10 and n=3.

Q: From a bag containing 6 white balls, 3 black balls, and 13 red balls, two balls are drawn at random.…

A: To find: The probability that both the ball being red. Given: There are 6 white balls, 3 black…

Q: A box contains 8 red balls and 7 black balls. If 2 balls are drawn in a row without returning, what…

A: Probability: It is a method for knowing the possible chances of an incident occurring. For example,…

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: A card is randomly draw from a shuffled deck of cards and NOT REPLACED. A second card is drawn from…

A: Given Data; n(S)=52   Let A be the event of getting a red P(A)=26/52

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: What is probability that two randomly selected people are born on the different weekdays?

A: It is given that two randomly selected people are born on the different weekdays.

Q: Two students are selected at random from a class that consists of 13 males and 7 females. What is…

A: Given: Number of males = 13 Number of females = 7 Total students = 13+7 = 20

Q: A manufacturing machine has a 10% defect rate. If 9 items are chosen at random, what is the…

A: Given information- We have given a problem of binomial distribution. Probability of having a defect,…

Q: An urn contains 7 red balls, 2 blue balls, 4 green balls and 3 yellow balls, If a single ball is…

A: Total number of balls =7+2+4+3 =16.If the ball is neither yellow nor blue, then it will be either…

Q: Suppose that two cards are drawn from a standard deck with replacement. What is the probability that…

A: Given that two cards are drawn from a standard deck with replacement

Q: A family was randomly chosen from a set of families having four children. What is the probability…

A: From the given information. From the set of families having 4 children, a family was chosen at…

Q: On average, 10 people per hour conduct transactions at a special services desk in a commercial…

A:

Q: A card is drawn at random from a set of cards containing two decks. What is the probability that it…

A: Given that, set of card contains 2 decks. which means there are 2 set of cards. Each deck consists…

Q: What is the probability of picking 8 blue balls and 17 red balls from boxes with even numbered…

A: Given, 50 boxes are labeled as 1 to 50 and each box has 1 red and 1 blue ball To find the…

Q: Suppose that an Spotify user has stored 10 albums with 12 songs per album. What is the probability…

A: From the given information, Consider,  Total number of albums = 10 Each album have 12 songs per…

Q: A card is drawn at random from a set of cards containing two decks. What is the probability that the…

A: Solution: A deck contains 52 cards. It has 4 suits. Each suit contains 13 cards. There are 26 red…

Q: In a second-grade class containing 13 girls and 9 boys, 2 students are selected at random to give…

A:

Q: Two cards are drawn at random from a deck of 52 cards without replacement. What is the probability…

A: Total number of cards = 52 Number of 2's = 4 Number of Ace = 4

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: If two gloves are selected at random from the box, with replacement, what is the probability that a…

A: Simple random sampling (SRS) is a method of selection of a sample comprising of n number ofsampling…

Q: Suppose that 4 cards are drawn from a well shuffled deck of 52 cards. 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: A sample of 76 items manufactured by a machine contains 13 defective items and the rest are…

A: Total number of items, N = 76 items Total number of defectives , K = 13 defective items Sample Size…

Q: Two balls are selected at random from an urn that contains six black balls and six red balls. What…

A:

Q: What is the probability that there are no face card among the 10 cards drawn without replacement out…

A: No.of face cards=12Total no.of cards =52No.of cards without facecards=52-12=40

Q: What is the probability that the first one selected is defective? What is the probability that the…

A: Let us define some events A : first one is defective B : second one is defective. Given that Number…

Q: A traffic control officer reports that 65% of the trucks passing through a check post are from…

A: In question, Given that the probability is 65% and sample of size 5 then we'll find, P(X≥3) = ? The…

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

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.