Box A contains seven white marbles and three black marbles. Box B contains four white marbles and five black marbles. An experiment consists of first selecting a marble at random from Box A. The marble is transferred to Box B and then a second marble is drawn from Box B. What is the probability that the first marble was white given that the second marble was white? (Round your answer to three decimal places.)

Q: Jeri is listening to the songs on a new CD in random order.  She will listen to two different songs,…

A:

Q: Mrs. Maria's Market buys 77% of eggs from farm A and the rest from farm B. Of the eggs from A, 7%…

A:

Q: You order twelve burritos to go from a Mexican restaurant, five with hot peppers and seven without.…

A:

Q: A bag contains 46 U.S. quarters and four Canadian quarters. (The coins are identical in size.) If…

A: Solution: From the given information, a bag contains 46 U.S. quarters and 4 Canadian quarters. Here,…

Q: Julia buys a bag of cookies that contains 8 chocolate chip cookies, 8 peanut butter cookies, 9 sugar…

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Q: Suppose that you have 9 coins: 3 dimes, 4 quarters, and 2 nickels. Two coins are selected at random.…

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Q: I need help with providing the formula and answer... Question: If your stats class contains 10…

A: 10 business majors 6 - biology majors 4 - math majors ________________________ 20 - total students…

Q: If 3 people are randomly selected from all the people in the four cities, what is the probability…

A: From the bar chart, it is clear that 42.767 (in thousands) are from Edmonds and 56.752 (in…

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: A candy dish contains nine brown and four red M&Ms. A child selects four M&Ms without checking the…

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Q: An experiment starts with four cards which are numbered 1, 4, 6 and 9 respectively. Two cards are…

A: We can find the answer as below.

Q: In a large school, it was found that 71% of students are taking a math class, 73% of student are…

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Q: A group of voters consists of 23 Democrats, 17 Republicans, and the rest Independents. If a voter is…

A: Given that there are 23 Democrats, 17 Republicans and the rest are independents. Let us consider the…

Q: You order fifteen burritos to go from a Mexican restaurant, five with hot peppers and ten without.…

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Q: A student owns 15 pencils, 9 are mechanical pencils and 6 are wooden pencils. They pull a pencil out…

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Q: A group of people were asked if they had run a red light in the last year. 326 responded "yes", and…

A: Given, a group of people were asked if they had run a red light in the last year, 326 responded…

Q: Albert takes a multiple choice quiz with 25 questions, each having four answer options. What is the…

A: Solution: Let X be the number of correct answers and n be the sample number of questions. From the…

Q: You order thirteen burritos to go from a Mexican restaurant, five with hot peppers and eight…

A: Let X represent the random variable   n=3 p=5/13   X~ Binomial (3, 5/13)

Q: Neil has a collection of 8 dice, 5 of which have four sides. If Neil randomly rolls 4 dice, what is…

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Q: Find the probability that if a person is chosen at random, they have run a red light in the last…

A: Given that Number of persons responded yes = 150 Number of persons responded No = 231 Total number…

Q: You order sixteen burritos to go from a Mexican restaurant, six with hot peppers and ten without.…

A:

Q: From a group of 10 choldren, a team of 5 (the red team) is randomly chosen. The remaining 5 children…

A: Given from a group of 10 children, a team of 5 children is randomly chosen. The remaining 5 children…

Q: Suppose that you have 7 coins: 3 dimes, 3 quarters, and 1 nickels. Two coins are selected at random.…

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Q: A bag contains 46 U.S. quarters and four Canadian quarters. (The coins are identical in size.) If…

A: Given that the bag contains 46 U.S. quarters and 4 Canadian quarters. Total (46+4)=50 coins in the…

Q: Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students…

A: P(high school students of eating pizza), P(A) = 0.333 P(high school students of drink soda), P(B) =…

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.