Suppose that there are 2 red balls, 1 blue ball, and 2 white balls in an urn. A ball is drawn and its color is noted. After the ball is drawn, it is set aside and is replaced with a blue ball. Another ball is then drawn from the urn. Find the probability the first ball drawn was red given that the second ball drawn was blue.

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

A: If n objects are drawn without replacement from N objects of which a objects are of type 1 and b…

Q: suppose that 64% of people own dogs. If you pick two people at random, what is the probability that…

A: Solution: Given information: Let A be the event that people having own dog P(A)= 0.64

Q: A committee of 8 is formed from a group of 15 women and 20 men. Determine the probability that the…

A: Given data No of women = 15 No of men = 20 Total Person = 20 + 15 = 35 A committee of 8 is formed…

Q: Suppose you have three bowls, XX, YY, and ZZ, each with four balls with XX having 3 red and 1 blue,…

A:

Q: If approximately 2% of the people in a room of 200 people are left-handed, find the probability that…

A: Given that, n=200,p=0.02 The value of λ is, λ=np  =200×0.02  =4 Let X denote the no.of people are…

Q: If three balls are drawn in succession from 5 white and 6 black balls in a bag, find the probability…

A: Given: Number of white balls = 5 Number of black balls = 6

Q: Suppose that 67% of people own dogs. If you pick two people at random, what is the probability that…

A: We have given that,  Let X be the number of dogs from binomial distribution with probability of dogs…

Q: The probability that it came from subcontractor B, is

A: Here use Bayes rule

Q: Suppose that a certain college class contains 35 students. Of these, 20 are juniors, 19 are physics…

A: Given information Total students = 35 No of junior students = 20 No of physics major = 19 Neither =…

Q: Suppose in a particular college, 60% of the student population is female. (a) Calculate the…

A: Given, 60% of the student population is female. p = 0.6 Sample size n = 10 For a binomial…

Q: A fair die with 6 sides is rolled 3 times, and every time it lands on a 4. Find the probability…

A: Introduction: The given die is fair and has 6 sides. Thus, the probability of each possible outcome,…

Q: We know that in a game of U.S. roulette, the probability that the ball drops into any one slot is 1…

A: Given : In a game of U.S. roulette, the probability that the ball drops into any one slot is 1 out…

Q: A subcommittee is to be selected from a committee of men and women. For this problem, assume that…

A:

Q: Suppose that a certain college class contains 47 students. Of these, 21 are freshmen, 29 are physics…

A:

Q: Suppose that there are 1 red balls, 1 blue ball, and 3 white balls in an urn. A ball is drawn and…

A: Given information: Number of red balls = 1 Number of blue balls = 1 Number of white balls = 3 Total…

Q: Suppose that a box containing music CDs has 4 with country music, 6 with rock music, 3 with jazz…

A: A box containing music CDs has 4 with country music, 6 with rock music, 3 with jazz music, and 7…

Q: Assume that each bag contains 5 balls. Bag a contains 2 red and 3 white, while bag b contains 1 red,…

A: (1) There are five balls in each bag A and B Bag A contains two red and three white balls. Bag B…

Q: If approximately 2% of the people in a room of 300 people are left-handed, find the probability that…

A:

Q: Suppose that 58% of people own dogs. If you pick two people at random, what is the probability that…

A: Given that 58% of people own dogs Two people are randomly selected. We have to find they both own a…

Q: Each individual letter of the word Maine is placed on a piece of paper, and all 5 pieces of paper…

A: Given Information: Total number of letters = 5

Q: There are 4 red and 5 green balls in a bag. If two balls are drawn one af another at random without…

A:

Q: A subcommittee is to be selected from a committee of men and women. For this problem, assume that…

A:

Q: A sub-committee of 6 members is to be formed out of a group of 7 men and 4 ladies. Calculate the…

A:

Q: Suppose that 66% of people own dogs. If you pick two people at random, what is the probability that…

A: We want to find what is the probability that they both own a dog?

Q: Suppose that 24% of people own dogs. If you pick two people at random, what is the probability that…

A: Given 24% of people own dogs

Q: Suppose that one card is drawn at random from a standard deck. Find the probability thata. The card…

A: (a) Total number of cards=52. There are four cards available in a deck with number marked 2 and four…

Q: There are 6 pink, 5 gray and 6 blue marbles in a jar. If one of these is randomly selected, then…

A:

Q: Suppose that each of three men at a party throws his hat into the center of the room. The hats are…

A: Probability of an event is equal to the ratio of number of favourable outcomes to total number of…

Q: Two marbles are drawn in succession from a box containing 10 red, 30 white, 20 blue and 15 oranges,…

A: Probability is the chance they occurrence in the event. Combination is the possible arrangement of…

Q: Suppose Julia owns a pen manufacturing company and determines that 3 out of every 75 pens are…

A: Here given that 3 out of every 75 pens are defective.  So , p = 3 / 75

Q: Find the probability that one person selected at random from these 300 persons is a faculty member…

A:

Q: Suppose that 31% of people own dogs. If you pick two people at random, what is the probability that…

A: Here.  We will use : P(A n B ) = P(A) × P(B) Given data: Suppose that 31% of people own dogs. If you…

Q: Suppose that Ahmed selects a ball by first picking one of the two boxes at random and selecting a…

A:

Q: Suppose that 43% of people own dogs. If you pick two people at random, what is the probability that…

A: probability mass function of B.D is = f ( k ) = ( n  k ) p^k * ( 1- p) ^ n-kwhere       k = number…

Q: Suppose that 68% of people own dogs and suppose you pick two people at random. find the probability…

A: From the given information, the percent of people own dogs is 68% and the number of selected people…

Q: Suppose you have an urn containing 7 red and 3 blue balls. You draw three balls at random. On each…

A: Here in this question it given that we have an urn containing 7 red and 3 blue balls. You draw three…

Q: Assume that two marbles are drawn without replacement from a box with 1 blue, 3 white, 2 green, and…

A: We are given,1 blue3 white2 green2 red marbles.Total marbles = 8

Q: A class has exactly 5 students. What is the probability that exact 3 of those studnets were born on…

A: We have to find given probability.

Q: An urn has 2 red, 5 white, and 3 blue balls in an urn and two are drawn one after another without…

A: It is given that, An urn has 2 red, 5 white, and 3 blue balls. It means, total number of balls = 2+…

Q: Suppose that 43% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: If three cards are drawn without replacement from a standard 52-card deck, find the probability that…

A: Solution: A 52-card deck contains 12 face cards. Each suit contains one queen and one 5-numbered…

Q: Suppose that 41% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: Each individual letter of the word Arizona is placed on a piece of paper, and all 7 pieces of paper…

A: there are 7 letters in the word Arizona all 7 letters are written on pieces of paper. randomly there…

Q: Suppose 30% of the women in a class received an A on the test and 25%of the men received an A. The…

A: Solution : Let X : Women       Y : Receiving A P(X)  = 0.60 P(Y/X) =0.30  P(Xc)  = 0.40 P(Y/Xc…

Q: Suppose you have three bowls, X, Y , and Z with some number of red and blue balls. Bowl X has 2 red…

A:

Q: Find the probability that there are two pairs and three of a kind if eight cards are randomly drawn…

A: As Prof. N. G. Das defined, an event is an outcome or a set of outcomes of a random experiment to…

Q: Suppose that 10000 tickets are sold in one lottery and 5000 tickets are sold in another  If a…

A: As given: A person owns 100 tickets in each lottery. The chance of winning the first price in the…

Q: Find the probability that in a family of 4 children there will be (a) at least 1 boy and (b) at…

A:

Q: A subcommittee is to be selected from a committee of men and women. For this problem, assume that…

A:

Q: Suppose that for married couples to vote in an election, the probability that a husband will vote is…

A: Consider that A and B are defined as the event when husband and wife will vote, respectively. Thus,…

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.