A box contains 8 red 3 white and 9 blue balls. If three balls are drawn at random, determine the probability that All three are blue Two are red and one is white At least one is white One of each color is drawn

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: A child is allowed to have 2 treats from a bag containing 21 chocolates, 11 hard candies, and 10…

A: As per given by the question, There are given that a bag containing 21 chocolates, 11 hard candies,…

Q: Suppose an urn contains 10 marbles: 4 are white and 6 are black. We will draw marbles randomly,…

A: First four are whack which means they are white and one of the first 5 drawn marbles.

Q: There are 5 white and 3 black marbles in box A, 4 white and 5 black marbles in box B, 3 white and 7…

A: a) There can be three cases in which we can get 1 white and 2 black marbles. (BBW, BWB, WBB) So the…

Q: Bag A contains 8 red, 4 green and 3 white marbles and Bag B contains 7 red, 5 green and 3 white. Bag…

A: Bag A:no.of red marbles=8no.of green marbles=4no.of white marbles=3Total marbles=15Bag B:no.of red…

Q: A drum contains 4 black balls, 5 red balls and 6 green balls. If 5 balls are selected at random,…

A:

Q: committee of 3 is to be chosen from 14, 10 females and 4 males, at random. Josue is one of the…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: A ball is chosen at random out of a bowl containing 3 red balls, 2 green balls, and 1 blue ball and…

A: Given Number of red balls=3 Number of green balls=2 Number of blue balls=1 N=total number of balls=6…

Q: A box contains 4 white balls, 8 red balls, and 9 blue balls. If 3 balls are selected at random, find…

A:

Q: There are 450 foundation students. 160 students preferred UPAD Major. 100 students are male and 80…

A: Given information: It is given that, the total number of foundation students is 450. The number of…

Q: Three urns A, B and C contain 6 red and 4 white; 2 red and 6 white; and 1 red and 5 white balls,…

A: Probability is a branch of mathematics which is basically deals with the chances of happening an…

Q: A financial services committee had 60 members, of which 9 were women. If 7 members are selected at…

A: We use the method of combination for selecting members from the committee. The combinations formula…

Q: There are ten urns of which each of three contains 1 white and 9 black balls; each of other three…

A: Let us denote A=the urn containing 1 white and 9 black balls  B=the urn containing 9 white and 1…

Q: Of the cartons produced by a​ company, 7​% have a​ puncture, 4​% have a smashed​ corner, and 1.1​%…

A: It was stated that the cartons produced by a​ company, 7​% have a​ puncture. The cartons produced by…

Q: A bowl contains 16 chips, of which 6 are red, 7 are white, and 3 are blue. Iffour chips are taken at…

A: A bowl contains 16 chips, of which 6 are red, 7 are white, and 3 are blue. If four chips are taken…

Q: Assume that a particular professional baseball team has 10 ​pitchers, 5 ​infielders, and 13 other…

A: The baseball team has 10 ​pitchers, 5 ​infielders, and 13 other players. Thus, total number of…

Q: There are ten urns of which each of three contain 1 white and 8 black balls; each of other three…

A:

Q: 4) If one three-digit number (0 cannot be a left digit) is chosen at random from all those that can…

A: Multiple of 2 numbers are ends with 0,2,4,6,8 Three digits number can't start with 0 The digits may…

Q: Of the cartons produced by a​ company, 9​%have a​ puncture, 3​% have a smashed​ corner, and 0.5​%…

A: Given : Let A : Cartons has a puncture P(A) = 9% = 0.09 Let B : Cartons has a smashed corner P(B) =…

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

A: The number of blue marble is 1. The number of white marble is 3. The number of green marble is 2.…

Q: A set of 8 cards contains 1 joker. A and B are 2 players and A chooses 5 cards at random, B taking…

A: From the provided information, Total cards = 8 Total number of ways in which A could select any of…

Q: box contains 7 red balls, 5 white balls, and 4 blue balls. A ball is selected at random from the…

A: Solution

Q: Bag A contains 8 red, 4 green and 3 white marbles and Bag B contains 7 red, 5 green and 3 white. Bag…

A:

Q: A box has 12 balls, 4 are red and 8 are green.  Randomly choose 3 balls from the box without…

A: We have given that,  Total balls = 12  Red balls = 4  Green balls = 8  Then,  We will find the…

Q: A box contains 4red and 2 blue marbles. Find the probability that if two marbles are drawn at random…

A: Given data A box contains 4 red and 2 blue marbles.

Q: There are ten urns of which each of three contain 1 white and 9 black balls; each of other three…

A: There are 10 urns given where first three urns contain 1 white and 9 black balls and it is denoted…

Q: A box contains10 red and 12 white rose flowers.Flowers are picked up at random one by one without…

A: Given a box contains 10 red and 12 white rose flowers are picked up at random one by one without…

Q: A bowl contains 20 chips, of which 8 are red, 7 are white, and 5 are blue. If six chips are taken at…

A: Given that, Total number of chips in the bowl = 20 Number of red chips = 8 Number of white chips = 7…

Q: This bag contains exactly 4 marbles, of which 3 are black and 1 is white. A marble is picked and not…

A:

Q: A box has 19 candies in it: 2 are peppermint, 7 are caramel, and 10 are taffy. (Each candy falls…

A: It is given that Total candies = 19 Number of peppermint candies = 2 Number of caramel candies = 7…

Q: Suppose there are 4 red balls and 3 yellow balls in a box . 3 balls are drawn from the box without…

A:

Q: n a certain​ country, the true probability of a baby being a girl is 0.476. Among the next four…

A: Given that  The true probability of a baby being a girl is 0.476 The true probability of a baby…

Q: A bag contains 5 red and 3 black balls and second bag contains 4 red and 5 black balls. If one ball…

A:

Q: Box A contain 4 white balls, 3 blue balls, and 3 orange balls. Box B has 2 white ball, 4 blue balls,…

A:

Q: A bag contains 14 identical balls,4 of which are red ,5 black and 5 white ,six balls are drawn from…

A: Given Information: Total no. of balls = 14 Red = 4 Black = 5 White = 5 Six balls are drawn from the…

Q: jar contains 20 identical ping-pong balls except that 4 are red, 5 are yellow, 4 are blue,  & 7 are…

A: Given, A jar contains 20 identical ping-pong balls except that 4 are red, 5 are yellow,…

Q: There is a group of four interns and six graduate students to fill certain goverment positions. If…

A: Given: Number of interns =4 Number of graduates =6 Total number of people =6+4=10

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 10 cards are drawn from a deck of 52 cards consisting of 13 hearts, 13 diamonds, 13 clubs,…

A:

Q: exactly one of the three colleges. Based on a survey, 25% of the students atte the students attend…

A: Students attend college  A 0.25 B 0.35 C 0.4 Events are given below: A student attends…

Q: a) Three marbles are drawn successively from a box containing 8 blue marbles, 7 red marbles and 3…

A:

Q: What is the probability that the 3 CDs are 2 jazz and 1 classical?

A: Three CDs are drawn randomly in succession without replacement . In  collection consisting of 5…

Q: A drum contains 4 black balls, 5 red balls and 6 green balls. If 5 balls are selected at random,…

A:

Q: There are 500 foundation students. 150 students preferred UPAD Major. 200 students are male and 100…

A: Given information: It is given that the total number of foundation students is 500. The number of…

Q: A standard deck of cards consists of 52 cards of 13 types (2,3,...,10,J,Q,K and ace) and 4 colors…

A: There are total 52 cards.We can select 4 cards from 52 cards in 52C4=270725 ways

Q: A bowl contains 12 chips, of which 6 are red, 4 are white, and 2 are blue. If three Q.5. chips are…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: Suppose that a box contains one blue card and four red cards, which are labeled A,B,C & D. Suppose…

A:

Q: Of the cartons produced by a​ company, 10​% have a​ puncture, 4​% have a smashed​ corner, and 0.6​%…

A: Given information P(Puncture) = 0.10 P (Smashed corner) = 0.04 P(Both) = 0.006

Q: There are twelve different chips in a bag: 6 red, 2 yellow and 4 blue. If two chips are drawn with…

A: Solution: From the given information, a bag contains 6 red, 2 yellow and 4 blue chips. Total number…

Q: A ball is chosen at random out of a bowl that contains 3 red balls, 2 green balls, and 1 blue ball,…

A: There are 3 red balls, 2 green balls and 1 blue ball.

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.