There are three jars that each contain 10 marbles. The first contains 3 white marbles and 7 red marbles, the second 6 white and 4 red, and the third all 10 white. An experiment consists of first selecting a jar at random. (Assume each jar has an equal probability of being selected.) After a jar is selected, a marble is randomly drawn from this jar, noting its color. If the marble drawn was white, find the probability that the third jar was selected. (Round your answer to three decimal places.)

Q: A pet store has 11 puppies, including 4 poodles, 5 terriers, and 2 retrievers. If Rebecka and Aaron,…

A: No.of poodles=4 No.of terriers=5 No.of retrievers=2 Total puppies=11

Q: There are three urns that each contain 10 balls. The first contains 2 white balls and 8 red balls,…

A: Given Information: There are three urns that each contain 10 balls. The first urn contains 2 white…

Q: You have three jars of gumballs. The first jar has 80 white gumballs and 20 green, the second jar…

A: Ist jar =80 white+20 green Second jar: 80 white+170 blue Third jar: 500 white+20 red

Q: When playing American roulette, the croupier (attendant) spins a marble that lands in one of the 38…

A: Answer :- The slots are numbered 1 to 36 out of which half are red and half are black, also half of…

Q: A committee of two people needs to be chosen. There are two men and six women available to serve on…

A:

Q: If the probability of choosing a red chip from a bucket is 0.4, What is the probability of not…

A: We have the probability of choosing a red chip from a bucket is 0.4

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: In Wyoming, there are about 300,000 registered voters, of whom 30,000 are Democrats. A survey…

A: Given that  N=300000 , X=30000 , n=900 p=X/N=30000/300000=0.10

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

A:

Q: The probability that a can of paint contains contamination is 3.23% and the probability of a mixing…

A: Concept of General Addition Rule: For any two events A and B the General Addition Rule states that:

Q: Of the cartons produced by a​ company, 7​% have a​ puncture, 4​% have a smashed​ corner, and 1.1​%…

A: It was stated that the cartons produced by a​ company, 7​% have a​ puncture. The cartons produced by…

Q: Suppose members of three families (say, A, B and C) are to be randomly arranged in a row. Family A…

A: Given information: The total number of families = 3 named as A, B, and C. Family A consists of 5…

Q: A cooler at a picnic contains 100 cans of soda covered by ice. There are 16 cans of cola, 46 cans of…

A: No.of cola cans=16 No.of orange soda cans=46 No.of ginger ale cans=20 No.of root beer cans=18 Total…

Q: Of the cartons produced by a​ company, 4​% have a​ puncture, 7​% have a smashed​ corner, and…

A: Given that, 4% have a puncture 7% have a smashed corner 1.3% have both a puncture and a smashed…

Q: For a family with 2 children, the sample space indicating boy (B) or girl (G) is BB, BG, GB, and GG.…

A: If the first child is a boy then there can be 2 outcomes. BB and BG Among those 2 cases only BB has…

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: A group of students is surveyed and 55% of the group is from Midland and 40% of the group like…

A: According to the provided data, the probabilities are;

Q: A cooler at a picnic contains 100 cans of soda covered by ice. There are 2525 cans of​ cola, 15 cans…

A: The objective of this question is to find the probability of selecting a can of root beer, ginger…

Q: Dolly is randomly selecting a new duo of alpaca to pull her wagon.  There are 5 black alpaca, 7 tan…

A: Probability of an event = Number of event divided by total possible outcomes = n/s

Q: If Mrs. Hiatt chooses two students, what is the probability that Emily will not be one of them?

A: Mrs. Hiatt puts the names of all 15 of her second period students on popsicle sticks and places them…

Q: In Bayside County, 45% of voters are registered Democrats. If three voters are selected at random,…

A: Given, P = 0.45 n = 3 x = 3 Here we use binomial distribution

Q: In a large population, 40 % of the people have been vaccinated. If 4 people are randomly selected,…

A:

Q: An urn B, contains 2 white and 3 black chips and another urn B, contains 3 white and 4 black chips.…

A:

Q: Two boxes each contain long and short bolts. Box 1 contains 60 long and 40 short bolts, while box 2…

A: The provided information is as follows:Box 1 contains 60 long bolts and 40 short bolts.Box 2…

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.…

A:

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.