Two balls are to be drawn in succession without replacement from an urn containing 5 red balls and 6 blue balls. Let X be the random varriable representing the number of blue balls. What is the possible outcomes?

Q: Let 13 cards be taken, at random and without replacement, from an ordinarydeck of playing cards. If…

A: Given data: *The number of cards taken at random from deck of 52 cards is n=13. *The number of…

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: If a letter is chosen at random from the English alphabet, find the probability that the letter (a)…

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Q: Assume that the committee consists of 7 Republicans and 6 Democrats. A subcommittee of 5 is randomly…

A: There are total (7+6)=13 persons. We can select any 5 persons from 13 persons in 13C5=1287 ways   If…

Q: A group of 300 people are being split into teams of 3 (where order of teams and order within a team…

A: Given that: Number of people in a group, n = 300 Here, each team containing 3 people, x = 3

Q: A committee of three is to be chosen at random from a group of 7 employees consisting of 4 females…

A: The probability that committee will have at least one female =P(at least one female) =1-P(no female)…

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

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Q: Find the probability of drawing 3 aces at random from a deck of 52 ordinary cards if the cards are…

A: Given information is Total Number of cards in a deck = 52  No of Ace cards in a deck = 4   Now we…

Q: An urn contains N white and M red balls. Balls are randomly selected, one at a time, until two red…

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Q: One red die and one blue die are rolled at the same time. Assuming that both dice are fair, how many…

A: Two fair dies are rolled. The first die is red and the second is blue. An experiment consists of…

Q: Find the probability of throwing a sum of 12 at least 5 times in 6 throws of a pair of fair dice.…

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Q: (b) The number of red balls in a sample of 8 balls chosen at random from a box contains 30 balls of…

A: We have to find the mean and variance of Hypergeometric distribution.

Q: A box contain 5 colored balls, 2 black and 3 white. Balls are drawn successively without…

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Q: Suppose that a box contains three equally sized balls numbered as 1,2 and 3. If two balls are drawn…

A: Given,  3 equally sized balls numbered as 1, 2 and 3.

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: What is the probability that a set of n ≥ 2 has two permutations that are the reverse of one…

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Q: An urn contains 10 red, 3 Black and 5 orange balls. If one ball is selected at random, what is the…

A: The solution to the question is explained below.

Q: Assume that the box contains 11 balls: 3 red, 3 green, and 5 blue. Two balls are drawn at random,…

A: There are total 11 balls, among which 3 are red, 3 green and 5 blue.

Q: If a letter is chosen at random from the English alphabet, find the probability that the letter (a)…

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Q: What is the probability of drawing 3 white and 4 green balls from a bag that contains 5 white and 6…

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Q: If a class has 8 boys and 10 girls, determine the following ( assuming that the order of selection…

A: In question, Given that If a class has 8 boys and 10 girls. Then we'll find,  (a). The number of…

Q: In an experiment where 2 balls are drawn successively at random without replacement from a box…

A: The total number of balls is 2+3+2 =7

Q: A die has been “loaded” so that the probability of rolling any even number is 2/9 and the…

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Q: There are 90 drill bits in a box at a machine shop. Fifty of the drill bits are 3/8-inch diameter,…

A:

Q: A bowl contains 10 chips numbered 1, 2, . . . , 10, respectively. Five chips aredrawn at random, one…

A: Given: A bowl contains 10 chips numbered 1, 2, . . . , 10. So the number of chips, N=10. Five chips…

Q: An urn holds 10 identical balls except that 2 are white, 2 are black, and 6 are red. An experiment…

A: It is given that there are 10 balls. But only 3 types of them are there.

Q: An urn contains 12 numbered balls, of which 6 are black, and 6 are white.  A sample of 6 balls is…

A: Number of ways of selecting a sample of 6 balls from 12 balls is given by: 126 = 12!6! x (12-6)!…

Q: Find the probability of throwing a sum of 7 at least 2 times in 6 throws of a pair of fair dice.…

A: We have given that,  Sample space (S) is, number of trials (n) = 6 S = { (1,1), (1,2, (1,3)..... (6,…

Q: If hyhe ace two events in Sampling Space of and 6 (h) = 0-56(h=4 %3D

A: problem can be solved using van diagram.

Q: Find the probability of throwing a sum of 10 at least 2 times in 7 throws of a pair of fair dice.…

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Q: An urn holds 10 identical balls except that 3 are white, 3 are black, and 4 are red. An experiment…

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Q: Choose a sample of (3) balls at random from an Urn containing 3 yellow and 4 red balls., then the…

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Q: A three-person committee is chosen at random from group of 5 women and 4 men. Find the probability…

A: Please see the below explanation

Q: An urn has 10 balls that are identical except that 3 are white and 7 are red. A sample of 4 is…

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Q: selected

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

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Q: If 30% of the bolts produced by a machine are defective, determine the probability that out of 4…

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Q: Select two random numbers from 11 to 80. If 2 is added to the tens digits, what is the difference…

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Q: A player tosses two coins, if two head appears he wins 4, if one head appears he wins 2, but if two…

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Q: Suppose that a district consists of 100 female voters and 200 male voters. If a group of ten voters…

A: Given problem Given that   Suppose that a district consists of 100 female voters and 200 male…

Q: An urn has 13 balls that are identical except that 7 are white and 6 are red. A sample of 8 is…

A:

Q: In a certain​ lottery, an urn contains balls numbered 1 to 30. From this​ urn, 5 balls are chosen​…

A: Given, In a certain​ lottery, an urn contains balls numbered 1 to 30. From this​ urn, 5 balls are…

Q: An urn has 9 balls that are identical except that 3 are white and 6 are red. A sample of 4 is…

A: We can pick 2 white balls from 3 white balls in 3C2 =3 ways  We can pick 2 red balls from 6 red…

Q: three balls are drawn from an urn containing 2 black, 3 white, and 4 red balls. Determine the…

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Q: Assume that the box contains 10 balls: 5 red, 2 green, and 3 blue. Two balls are drawn at random,…

A: The probability that first was blue and given that second was red is,Subscripts 1 and 2 represent…

Q: Assume that the box contains balls numbered from 1 through 28, and that 3 are selected. A random…

A: We make a table Number of oddballs (a) Number of even balls (b) X=3a+4b 0 3 12 1 2 11 2 1…

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.