1) If a box is chosen at random and a ball drawn, if the ball is red, what is the probability that it was from first box? 2) If a box is chosen at random and a ball drawn, if the ball is white, what is th probability that it was from second box? 3) If a box is chosen at random and a ball drawn, if the ball is green, what is th

Q: An urn contains 2 red, 4 blue, and 2 green balls. If 3 balls are randomly selected, what is the…

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Q: There are 9 black balls and 9 red balls in an urn. If 3 balls are drawn without replacement, what is…

A: It is given that Number of black balls = 9 Number of red balls = 9 Total = 18

Q: What is the probability that a positive integer selected at random from the set of positive integers…

A: We have to find the probability that a positive integer selected at random from the set of positive…

Q: What is the probability that a positive integer selected at random from the set of positive integers…

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Q: In a lottery box, there are 20 balls, 7 of which are marked with go. A person picks 3 balls at…

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Q: suppose that 10% of people are left handed. if 9 people are selected at random, what is the…

A: The random variable is left handed people. It follows binomial distribution. The sample size is 9.…

Q: There are 10 urns, each containing 3 white and 7 black balls. A ball is accidentally pulled out of…

A: It is given that there are total 10 urns. Each urn consist 3 white balls and 7 black balls.

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: Assume that it is equally probable that the pointer will land on any one of the eight numbered…

A: Given : Assume that it is equally probable that the pointer will land on any one of the eight…

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

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Q: An urn contains n white balls, m black balls and I red balls, which are drawn at random one at a…

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Q: Assume that 4 digits are selected at random from the set {1,2,3,5,8} and are arranged in random…

A: To compute the probability of the required event from the basic counting principles

Q: A sequence of 10 bits are randomly generated. What is the probability that there are at most two…

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Q: What is the probability of picking a black card or a jack if prior to selection all the black cards…

A: The objective is to find the probability of picking a black card or a jack. If prior to selection…

Q: A bag have 3 coins in it. One of them is a fair coin, but the others are biased trick coins. When…

A: Consider the following events, A=chosen coin is fair coinB=chosen coin is the second unfair…

Q: Suppose we roll two six-sided dice. What is the probability that the two rolls have the same value…

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

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Q: Assume that the human resource managers are randonm Selected 38% day job applicants should follow up…

A: Given,n=7p=0.38Let X=no.of job applicants should follow up working two weeksX~Binomial(n=7 ,…

Q: What is the probability that the numbers 11, 4, 17, 39, and 23 are drawn in that order from a bin…

A: We have to find the probability for without replacement and with replacement.

Q: Suppose a Box contains 200 identical machine parts. Out of which 100 are produced by machine A, 60…

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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: Find the probability p that at least two people in a group of k people will have the same birthday,…

A: Given information: Number of days in a year = 365 days Number of people in a group = k

Q: Assume that 4 digits are selected at a random from the set { 1,2,3,4} and are arranged in random…

A: The set of the digits from which the digits are selected randomly and arranged in random order is

Q: Suppose that a salesperson succeeds in making a sale with one in every five potential customers…

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

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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: Consider that 30% of the students of a given class are engaged in project during the 13th week of…

A: Let E be the event that students of a given class are engaged in project during the 13th week of…

Q: Suppose Lin Dan and Lee Chong Wei are both taking a finite class with 5 other people. If there is…

A: Given: Total number of desks  = 7 Lin Dan and Lee Chong Wei should be together

Q: 8. There are 10 ways of choosing the seven envelopes into which the red cards will be placed. There…

A: In the given case we are given the total number of possible outcomes given by 10C7 and it can be…

Q: What is the maximum number of people in a gathering such that the probability of two people having…

A: Given, The probability of two people having the same birthday doesn’t exceed 60%.

Q: Assume that 4 digits are selected at random from the set {1,2,5,6,7,8,9}{1,2,5,6,7,8,9} and are…

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Q: ) If 4 distinct balls are placed at random into 4 boxes, find the probability that exactly one box…

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Q: Suppose there are 10 balls in an urn. Three of them are blue, and seven of them are green. You are…

A: The goal is to compute the probability that more than 12 people will win free ticket. Let the random…

Q: website reports that 70% of its users are from outside a certain country. Out of their users from…

A: I have solved the answer below  I hope you like that  stay safe and have a nice day

Q: 24. If x be one of the first hundred natural numbers chosen at 100 random, find the probability that…

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Q: at in five tosses of a fair die, a 3 will appear at least

A: a) Given: n = 5 The sample space of a die is 1,2, 3, 4, 5, 6 i.e. there are 6 total outcomes.    p =…

Q: What is the probability that a sequence will have exactly 5 heads

A: The total possible combination of sample sace S =27=128expected or successful events…

Q: Suppose there are 56 red balls and 103 yellow balls in a box. Two balls are drawn from the box…

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Q: What is the probability that in a group of n people at least two of them will have the same…

A: Introduction :

Q: Suppose a certain drug test is 99% sensitive and 99% specific, that is, the test will correctly…

A: Formula Used: Bayes' Theorem: P(A\B) = P(B\A)P(A)P(B) Given: The test correctly identify drug user…

Q: Suppose that there are 5 white marbles, 2 green marbles, 1 red marble are in the container. You are…

A: Given that  Number of white marbles = 5 Number of green marbles = 2 Number of red marbles = 1 Total…

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.

Q: Suppose that colored balls are distributed in three indistinguishable boxes as follow: A box is…

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Q: (i) One of the urn is chosen at random and a ball is drawn out of it also at random. It turns out to…

A: Consider the events as; Ui: Number of urns A: drawing blue ball B: drawing green ball without blue…

Q: Suppose there are eight red balls and eight yellow balls in a box. Two balls are drawn from the box…

A: There are total (8+8)=16 balls in the box.  We can pick the first ball in 16 ways and the second…

Q: Assume that 2 digits are selected at random from the set {3,4,6,7,8,9}{3,4,6,7,8,9} and are arranged…

A: Assume that 2 digits are selected at random from the set {3,4,6,7,8,9} and are arranged in random…

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

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Q: Suppose there are four red balls and three yellow balls in a box. Two balls are drawn from the box…

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Q: Suppose, you are given with a set of the firs 27 natural numbers i.e {1, 2, 3, 4, 5 ... 26, 27) If…

A: Given :  For the 27 numbers here, the total number of ways that sum of 27 could be obtained here are…