Suppose you have three bowls, XX, YY, and ZZ, each with four balls with XX having 3 red and 1 blue, YY having 2 red and 2 blue, and ZZ having 1 red and 3 blue. A bowl is chosen at random and a ball is drawn from it. What is the probability that the ball was drawn from bowl XX given the ball 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 a student is selected at random from 100 students where 30 are taking ME, 20 are taking EE,…

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Q: Suppose you have two fair six-sided dice. The dice are not numbered but each face is colored either…

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Q: A men is dealt 4 spade cards from an ordinary pack of 52 cards. If he is given three more cards,…

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Q: We have two dice. One is fair and the other is biased. The biased die is weighted to land 6 on…

A: Define the events as follows: F : Rolling a fair die F' : Rolling a biased die S : Getting 6 in a…

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: Suppose that in a class of 100 students, 25 students major in Economics, 30 in Finance, and 45 in…

A: In question, Given that in a class of 100 students, 25 students major in Economics, 30 in Finance,…

Q: Suppose that a white ball is selected. What is the probability that the coin landed heads?

A: Let us define some events A : The coin is landed head. B : The coin is landed tail. E : A white ball…

Q: Consider two boxes: box I contains 3 blue and 2 red marbles; box II contains 3 blue and 5 red…

A: Let's denote the following:B1: Event that the marble drawn is blue from box IB2: Event that the…

Q: There are three similar-looking bowls: in the 1st - 4 white balls and 7 black ones, in the 2nd -…

A: Let B1 be the event of ball drawn from bowl 1 Let B2 be the event of ball drawn from bowl 2 Let B3…

Q: Given that a white chip is drawn, what is the probability that the coin came up tails.

A: A biased coin, twice as likely to come up as tails, is tossed once. If it shows heads a chip is…

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

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Q: This problem involves inspection at a widget factory. Assume that a box contains 2 defective widgets…

A: Answer:- Given that a box contains 2 defective widgets and 15 acceptable widgets.  So, Probability…

Q: Suppose we draw two tickets from a hat that contains tickets numbered 1, 2, 3, 4. Let X be the first…

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Q: This will be involving the selection of colored balls from two bags. Assume that each bag contains 5…

A: bag 1 : 4 red1 white_____________5total ballsbag2 :3 red1 white1 blue___________5 total ballsselect…

Q: There are 3 urns as follows: Urn A contains 3 red and 5 white balls. Urn B contains 2 red and 1…

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Q: In a certain factory, machines D, E and F all produce computer chips of the same type. Of their…

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Q: A committee of 2 people is to be chosen from a group of 5 people. Aji and Bao are 2 of the people in…

A: Given problem Given that   A committee of 2 people is to be chosen from a group of 5 people. Aji…

Q: For this problem, assume the box contains 8 white balls, 5 blue balls, and 4 red balls, and that we…

A: Number of white balls is 8. Number of blue balls is 5. Number of red balls is 4.

Q: Assume for this problem that the company has 7 Jeeps and 4 Fords, and two cars are selected randomly…

A: From 7 jeep representative select 2 jeep cars in 7C2 ways. There are total 11 cars including both…

Q: A city has two daily newspapers, A and B. A survey of 100 residents of the city shows that 35 people…

A: Given, A survey of 100 residents of the city shows that 35 people subscribe to A, 60 subscribe to B…

Q: One of two urns is chosen at random with one as likely to be chosen as the other. Then a ball is…

A: For the given data Find p ( urn 2 / white ) =?

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: box contains 4 bulbs of 40W, five of 60W and six of 75W. If two bulbs are chosen at random and at…

A: Given that  A box contains 40W bulbs = 4 60W bulbs = 5 75W bulbs = 6 Total bulbs in box = 4+5+6 = 15…

Q: Bowl A contains two white and one red chips; bowl B contains two red chips , and bowl C contains one…

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

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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.