Suppose that there is a white urn containing two white balls and three red balls and there is a red urn containing one white ball and two red balls. An experiment consists of selecting at random a ball from the white urn and then​ (without replacing the first​ ball) selecting at random a ball from the urn having the color of the first ball. Find the probability that the second ball is red. The probability of the second ball being red is?

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: 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: A hat contains 29 Orange slips of paper and 63 Green slips of paper (and nothing else). Two slips…

A: Total number of slips is 29+63 =92. It is known that hat contains 29 orange and 63 green slips. The…

Q: A hat contains 25 Red slips of paper and 29 Yellow slips of paper (and nothing else). Two slips are…

A: Total number of slips is 25+29 =54. It is known that hat contains 25 red and 29 yellows slips. The…

Q: A hat contains 25 Red slips of paper and 29 Yellow slips of paper (and nothing else). Two slips are…

A: According to the provided information,  Red slips of paper = 25 Yellow slips of paper = 29 Total…

Q: An urn contains 5 green, 1 red, and 2 blue balls. Two balls are taken from the urn, one after the…

A: From the given information,An urn contains 5 green, 1 red, and 2 blue balls.Total number of balls is…

Q: A person is selected at random during the Republican National Convention. Suppose the probability…

A: Given, The probability that the person selected is a woman is, P(W) = 37% = 0.37The probability that…

Q: If a ball is selected at random from an urn containing seven red balls, seven white balls, and six…

A: From given data, we have to find the probability that a ball drawn is a white ball.

Q: Let y be a function of x & z is a real constant. Find the series solution of (x²-z) y"+8xy'+10 y=x…

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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: This problem involves inspection at a widget factory. Assume that a box contains 2 defective widgets…

A: Answer:- Given that a box contains 2 defective widgets and 15 acceptable widgets.  So, Probability…

Q: An urn contains Red and Blue balls. 6 balls are red (R) and 13 balls are blue (B). Draw two balls,…

A: Given An urn contains No. of Red balls=6 No. of Blue balls=13 Total no. of balls=6 red balls +13…

Q: Assume that the box contains 10 balls: 2 red, 2 green, and 6 blue. 2 balls are drawn at random, one…

A:

Q: An urn has 2 red, 4 white, and 3 blue balls in an urn and two are drawn one after another without…

A: Total number of balls in an urn,

Q: Suppose a there is a 40% chance a randomly selected person likes strawberry ice cream, a 70% chance…

A: (1) Obtain the probability that a randomly selected person likes chocolate ice cream but not…

Q: Assume for this problem that the company has 7 Jeeps and 4 Fords, and two cars are selected randomly…

A: From 7 jeep representative select 2 jeep cars in 7C2 ways. There are total 11 cars including both…

Q: 2. (20 points) Solve using integrating factors method. xy'-3y=x, y(2)=1.

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Q: A hat contains 25 Red slips of paper and 29 Yellow slips of paper (and nothing else). Two slips are…

A:

Q: A biased coin is flipped 8 times. In a single flip of the coin, the probability of heads is 1/3 and…

A: Number of flips = 8Probability of heads = 1/3Probability of tails = 2/3

Q: One of two urns is chosen at random with one as likely to be chosen as the other. Then a ball is…

A: For the given data Find p ( urn 2 / white ) =?

Q: What is the probability that at least one of them is male?

A: Given that,Total no. of students  Total no. of female student Total no. of male student

Q: Assuming that these two are Independent, what is the probability of thunderstorms on both Memorial…

A: Concept: If the probability of occurrence of one event is not affected by the probability of…

Q: Two balls are chosen randomly from an urn containing 8 white, 4 black, and 2 orange balls to see if…

A: Probability is a branch of mathematics or statistics which basically deals with the chances of…

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. 

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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.