Example 5: Box A contains 5 red and 3 white marbles and box B contains 2 red and 6 white marbles. If a marble is drawn from each box, what is the probability that they are both of same colour.

Q: Example 5.5 If 20% of the bolts produced by a machine are defective, determine the probability that…

A: Let us denote X=the number of defective boltsn=number of trials=4p=probability of success=20%=0.20X…

Q: Problem 2: A political rally contains 20 Republicans, 13 Democrats and 6 Independents. 1. If one…

A: Given that, A political rally contains 20 Republicans, 13 Democrats and 6 Independents.

Q: In a village, the probability that a randomly selected subject is allergic to sulphur is 0.20,…

A: Let A denote the event that allergic to sulphur Let B denote the event that allergic to penicillin…

Q: If a poker hand of 5 cards is drown from a deck of 52 cards what is the probability that it will…

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Q: You have a textbook for each of the following subjects: Spanish, English, Chemistry, Geometry,…

A: There are total 6 text books.  I can pick any 4 textbooks from 6 textbooks in 6P4=360 ways   If the…

Q: QUESTION 2 In a certain community, 36 percent of families own a dog, and 30 percent of families own…

A: Q.2 Ans: Solution-: Given: P(own a dog)=0.36, P(own a cat)=0.30 Also, dog and cat ownership are…

Q: a) There are 20 A brand computers and 30 B brand computers in the warehouse of a factory. From A…

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Q: If a knight and a queen are randomly placed on distinct squares of an ordinary chessboard, then what…

A: Given information: It is given that Knight and a queen are randomly placed on distinct squares of an…

Q: Example 19: A box has 6 red balls and 4 black balls, if two balls has bęen dráwn Cophelj しい one by…

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Q: A probability experiment consists of two stages, in which a 6-sided die is rolled in the first stage…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: To make a 750 piece jigsaw puzzle more challenging, a puzzle company includes 5 extra pieces in the…

A: Probability of an event is defined as total favorable outcome divided by total possible outcome.…

Q: At a certain college, there were 600 science majors, 200 engineering majors, and 400 business…

A:

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: In a class, 50% of the students play basketball, 20% of the students play football and 10% of the…

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Q: Question 2 A bag has 10 blue balls and 5 red balls. 2 balls are to be drawn successively and without…

A: Given: Number of blue balls=10Number of red balls=5Number of balls drawn=2 (Without replacement)

Q: Presumably, each student writing this examination is doing so independently of all other students.…

A: Given: P(Tom answers correctly)=0.8 P(Dick answers correctly)=0.7 P(Harry answers correctly)=0.6

Q: A small bag of skittles has 8 red, 9 blue, and 3 green candies. A box of chocolates has 4 cherry, 10…

A:

Q: A company is conducting sweepstakes, and ships two boxes of game pieces to a particular store. Box A…

A: Total probability law:Suppose {B1, B2, …, Bk} is a partition of a sample space S such that…

Q: In the collaboration problem about the mathematician that carries chalk in her pockets, suppose her…

A: Since the number of chalks in each pocket are different, we will break the problem in two cases. One…

Q: If out of a population consisting of 40% Hindus, 30% Muslims, 20% Sikhs, and 10% Christians, 10…

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Q: A bag contains 5 red marbles, 6 green marbles, and 3 blue marbles. If Cymra draws a marble, keeps it…

A: There are total (5+6+3)= 14 marbles in the bag. Among the 14 marbles, 5 are red   So, the…

Q: QUESTION 5 A company has 9 senior and 6 junior officers. If 5-members are selected to form a…

A: Use probability concept

Q: The contestant selects a box at random and selects a bill from the box at random. If a $100 bill is…

A: Let us define some events A : bill is from box 1. B : bill is from box 2. C : bill is from box 3. D…

Q: Example 3: A bag A contains 2 white and 3 red balls and a bag B contains 4 white and 5 red balls.…

A: Given that, Bag A contains 2 white and 3 red balls and bag B contains 4 white and 5 red balls.

Q: A bag contains 88 white marbles, 33 red marbles, and 44 yellow marbles. If a marble is drawn from…

A:

Q: According to the June issue of Consumer's Digest, census figures show that in 1978 almost 53% of all…

A: Obtain the probability that more than 600 people will consist of 1 or 2 people.   The probability…

Q: Given two urns, one containing two red, three green, and four yellow balls, the other containing…

A: First urn contains; 2 red 3 green 4 yellow Second urn contains; 4 red 2 green 3 yellow

Q: If two cards are drawn at random from a pack of cards, what is the probability that one of them is…

A: The number of cards in a deck are 52.

Q: 4. A set of traffic lights shows green for 45 seconds, amber for 5 seconds and red for 30 seconds.…

A: From the given information, Total time taken by traffic light is 80 seconds. For green it takes 45…

Q: When the three friends play The Duck Game together, Kiara draws first, then Denny , and then Rayanna…

A: p=(25/50)*(20/49)

Q: As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color…

A: Total number of cards = 52 Number of black cards = 13+13 = 26 Number of '3' cards = 4 Number of…

Q: .  A bag contains 55 greengreen marbles, 33 redred marbles, and 66 yellowyellow marbles. If a marble…

A: As per our policy we can solve only 1 question per post. kindly repost for remaining questions.…

Q: A couple has two children, and the older child is a boy. If the probabilities of having a boy or a…

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Q: If two cards are drawn from a deck, what is the probability that exactly one of the cards will be a…

A: It is given that, Two cards are drawn from the deck. Total number of cards in a deck=52 Total number…

Q: a.  A bag contains 99 yellow marbles, 66 red marbles, and 44 green marbles. If a marble is drawn…

A: a. The probability formula is, Probability=Number of favourable outcomesTotal outcomes There are…

Q: Question II In a group of 2500 person, 1400 are female, 600 are vegetarian, and 400 are female and…

A: Given: Total=2500Number of female=1400Number of vegetarian=600Number of female and vegetarian=400…

Q: Consider a garden with two types of trees, 4 aspen and 6 cedar, and two types of flowers, 8 roses…

A: There are two types of trees in which there are 4- aspen and 6-cedar. There are two types of…

Q: Example 2.24 In a city, suppose that only 60% of the people read a newspaper. What is the…

A: Let X be the number of reading the news paper  p be the probability of the people reading a news…

Q: Suppose you roll a 6-sided die, a 10-sided die, and a 20-sided die. What is the probability that the…

A: Given that,  You roll a 6-sided die, a 10-sided die, and a 20-sided die.

Q: Two boxes A and B, box A contains 9 cards numbered 1-9 and box B contains 5 cards numbered 5 to 1. A…

A: There are 2 boxes. Total cards: in box A.  1,2,3,4,5,6,7,8,9 Total even cards in box A:  2,4,6,8. (4…

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

A: Note: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Example 4: A manufacturer knows that the condensers he makes contain on average 1% defectives. He…

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Q: Example 7: If 3 balls are distributed to 4 cells, numbered as 1, 2, 3, 4. Find the probability that…

A: There is only way for distributing exactly one ball to each cell numbered 1,2,3 Cell 1 will have 3…

Q: We have two boxes, box A (6 blue marbles and 8 red marbles) and box B (6 blue marbles and 2 red…

A: Given that, We have two boxes, box A (6 blue marbles and 8 red marbles) and box B (6 blue marbles…

Q: QUESTION 2 A factory has three assembly lines, with the first line producing 10% of the product, the…

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Q: contains 33 blueblue marbles, 77 redred marbles, and 66 greengreen marbles. If two different marbles…

A:

Q: Question 5 A boy has 10 red and 10 blue marbles. He only needed to take out 15. What is the…

A: The term probability is defined as the chance of occurrence of an event. The probability value…

Q: om,Dick and Harry have three deck of cards.If each of them pick one card from their own deck at…

A: Given data, Three decks of cards are in the hands of Tom, Dick, and Harry. From their winning decks,…

Q: A high school class consists of 6 seniors, 10 juniors, 11 sophomores, and 5 freshmen. Exactly 2 of…

A: From the given problem, we have:6 seniors, 10 juniors, 11 sophomores, and 5 freshmenTotal number of…

Q: EXAMPLE 32. The probability that a contractor will get a plumbing contract is 2/3, and the…

A: let;event F:a contractor will get a plumbing contractand event E: a contractor will get an electric…