a) At a fair, a vendor has 25 helium balloons on strings: 10 balloons are yellow, 8 are red, and 7 are green. A balloon is selected at random and sold. Given that the balloon sold is yellow, what is the probability that the next palloon selected at random is also yellow?

Q: Among registered voters nationally, 40% identify as Independent. 30% identify as Democrat, and 30%…

A: Given that P(Independent)=0.40 P(Democrat)=0.30 P(Republican) =0.30 P(Biden won| Independent) =0.65…

Q: The deck for a card game contains 30 cards. 10 are red, 10 are yellow, 5 are blue, 1 green, and 4…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set of…

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: Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at…

A: GIVEN DATA : There are 15 boys and 30 girls in the class                          10 students are…

Q: How many 4-letter arrangements can be made from the letters of the word DEALING, such that: (i) two…

A: Number of arrangement of data can be calculated using either permutation or combination. Permutation…

Q: A coin is biased so that the probability of heads is 3/5. What is the probability that exactly four…

A: Given : Probability of getting heads is, p = 35 q = 1 - p q = 25 flips are independent. n = 9 x = 4…

Q: planning to lay off 8employees.What is the probability that the company decides to lay off…

A:

Q: 1) A beg contains 10 black pens. If a pen is chosen at random from the beg, what is the probability…

A:

Q: 9. A census by the county dog control officer found that 18% of homes kept one dog as a pet, 4% had…

A: Given Information: Probability of one dog = 0.18 Probability of two dogs = 0.04  Probability of…

Q: f 7 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that: a.…

A: Number of cards for dealt is 7. Total number of cards in a deck is 52.

Q: If 20% of the residents in a US city prefer a white telephone over any other color available, what…

A: Givenp=0.20n=1000x~Binomial(n=1000,p=0.20)P(X=x)=(nx)×px×(1-p)n-x   ;  x=0,1....,n

Q: Between 3 players (A,B, & C) 5 orange, 5 yellow, and 5 purple balls are divided randomly in a way…

A: In given information it is clear that, there are totally 15 balls (5 orange, 5 yellow and 5 purple )…

Q: (a) Consider three classes, each consisting of 20 students. From this group of 60 students, a group…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: A player is dealt two cards from a 46-card deck, where half the cards are black and the other half…

A: Let us denote:R1=drawing red card firstR2=drawing red card secondB1=drawing black card first…

Q: In a class, there are 30 students from Ankara, 50 from Istanbul and 20 from other cities. If a…

A: Classical Definition of Probability: If there are n mutually exclusive, exhaustive and equally…

Q: Suppose 6 cards are dealt from an ordinary deck of 52 playing cards. (a) What is the probability…

A:

Q: From a box containing 6 black balls and 4 green balls, 3 balls are drawn in succession, each  ball…

A:

Q: If you randomly select four peanut M&M’s, compute that probability that at least one of them is…

A: Based on the research, 12% of the given band's peanut chocolates are brown. Therefore, the…

Q: A closet contains 8 pairs of shoes. If 4 shoes are randomly sele ted, what is the probability that…

A: A closet contains 8 pairs of shoes. If  shoes are randomly selected. We have to find the probability…

Q: .If a deck of cards consists of 52 cards, comprising 4 suits of 13 cards, and one card is drawn at…

A: in 52 cars deck 26 cards are black 26 are red   out of 4 jack 2 are red and 2 are black

Q: insurance company determines that the probability a person files a claim in the next year is 8%. If…

A: Given data,probability a person files a claim in the next year is 8%p=8%=0.08If n=10what is the…

Q: In a fruit basket, there are 10 santol, 10 atis, and 10 mangoes, some of which are rotten as…

A: Solution

Q: In a certain state, each automobile license plate number consists of two letters followed by a…

A:

Q: Create the venn diagram of the a,b,c  In a class of 267 seniors, 94 study Spanish, 95 study…

A:

Q: According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15%…

A:

Q: According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15%…

A: Let the R.V X denotes the number of peanut M&M’s are orange and it follows the binomial…

Q: Consider a randomly selected 100 students at a certain university. It is found that out of the…

A: Solution: From the given information, there are 50 are engineering majors, 30 are Math majors and 10…

Q: a) Clients at a restaurant are choice of chips or finger potato with either burger or lasagna. Out…

A: Given that there are 22 clients and out of them 15 chose burger, 9 chose lasagna and 5 chose both.

Q: Suppose 7 cards are dealt from an ordinary deck of 52 playing cards. (a) What is the probability…

A: a) In a deck of 52 playing cards, there are 3 face cards ( King, Queen and Jack ) in each of the 4…

Q: A draws a card from a well-shuffled pack of 52 cards, B tosses a fair coin, and C rolls a 6 faced di…

A: Given data, A draws a card from well-shuffled pack of 52 cards B tosses a fair coin C rolls a 6…

Q: 1. What is the probability of not having a vowel in the alphabet given that it is a letter from the…

A: here ,  total available alphabets  =  26 (A,B,,,,,... ...Y,Z) vowels are A,E,I,O,U  Consonants are…

Q: 4. Consider a box with 10 balls and 5 sticks. Draw seven times from the box, with replacement. Draws…

A: There are 10 balls and 5 sticks in the box, total 10+5 = 15 items. Out of 15 items 10 are balls.…

Q: 5 cards are drawn simultaneously and at random from a standard deck of 52 playing cards. Using only…

A: WE know that there are 16 cards of face cards in the deck of 52 cards. therefore, the chance of…

Q: An Italian deck of cards, which is made up of 40 cards: 4 suits (Denari, Clubs, Swords, Cups) of 10…

A: Given that, An Italian deck of cards, which is made up of 40 cards: 4 suits (Denari, Clubs, Swords,…

Q: Among 500 freshmen pursuing a business degree at a university, 320 are enrolled in an Economics…

A: Probability of an event:The formula for probability of an event is as follows.

Q: A player would win a game if they draw exactly 2 Aces or exactly 2 Kings in a hand of 5 cards from a…

A: To give the required probabilitynCr = n!r!(n-r)!

Q: A roulette wheel has 38 slots in which the ball can land. Two of the slots are green, 18 are red,…

A: Probability of an event = Each spins are independent means the outcome of first spin does not…

Q: Suppose a card is selected from 52 given cards Let A=event of selecting a face card, B=event of…

A:

Q: 4) Determine the probability that a sibship of 6 will comprise: (a) 4 boys and 2 girls. (b) boys as…

A: As per guidelines only first 3 subparts have been answered.

Q: 8. Seven new employees, two of whom are married to each other, are to be assigned seven desks that…

A:

Q: In a school of 320 students, 85 students are in the band, 200 students are on sports teams, and 60…

A:

Q: n engineering company has four openings and the applicant pool consists of 6 database administrators…

A: Given that  Number of job openings = 4 Data base administrators = 6 Network engineers = 8 Hiring…

Q: R. H. Bruskin Associates Market Research found that 40% of Americans do not think that having a…

A:

Q: Suppose that in a barangay, three out of five are registered voters. If 10 people are selected at…

A:

Q: In a study by the Department of Transportation, there were a total of 89 drivers that were pulled…

A: a) There are total 89 drivers, among which 36 men were ticketed and 15 men were not ticketed.

Q: 2 A local bank reports that 80% of its customers maintain a checking account, 60% have a savings…

A: Let C - checking account. S - savings account P(C) = 0.80 P(S) = 0.60 P(C and S) = 0.50

Q: 3. According to a survey in a country 25 % of all houscholds are wircless only houscholds(no…

A: Givenp=0.25n=20x~Binomial(n=20,p=0.25)P(X=x)=(nx)×px×(1-p)n-x ; x=0,1,...,n

Q: Assume that 11 cards are randomly selected from a stan- dard 52-card deck, without replacement. What…

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.