A new credit card has been issued to 2000 customers. Of these customers, 1500 hol Visa, 500 hold an AA card, and 40 hold a Visa and AA card. The probability that a random chosen customer holds a Visa and AA card, given they hold a Visa is: O0.75 O 0.25 0.0267 O0.4

Q: In a manufacturing plant, three machines, A, B, and C, produce 41%, 38%, and 21%, respectively, of…

A: Given , P( A ) = 0.41 ,  P( defective | A ) = 0.01 P( B ) = 0.38 ,  P( defective | B ) = 0.02 P( C )…

Q: In a survey of 1200 college students living in the dorms, 600 said that they had only a tablet in…

A:

Q: what is the probability that the student owns a. either a laptop or a personal computer or both. b.…

A: Total number of students= 600 Number of students who own laptop= 150 Number of students who own…

Q: The American Red Cross says that about 45% of the U.S. population has Type O blood, 40% Type A, 11%…

A: Let X represent the random variable   n=7 p=0.4   X~ Binomial (7, 0.4)

Q: If one of these tire dealers is randomly selected, find the probability of choosing a name-brand…

A:

Q: The American Red Cross says that about 45% of the US population has Type O blood, 40% has Type A,…

A: Given information- P (type O) = 0.45 P (type A) = 0.40 P (type AB) = 0.11 P (type B) = 0.04 We have…

Q: If one basket is randomly selected, determine the probability that the basket contains: Coffee or…

A: 1. The row and column totals are,   Cookies Mug Candy Total Coffee 13 17 15 45 Tea 17 16 8 41…

Q: In grade level SChool of 220 Stclents 105 51uents are in arts, 200 StwentS lare on The SPorts team…

A:

Q: In a survey of 104 baseball fans in NYC, 53 were fans of the Mets, 73 were fans of the Yankees and…

A:

Q: The employees of a company were surveyed on questions regarding their education background (college…

A: From given data,   College Degree No College Degree Total Single 120 80 200 Married 180 120…

Q: In Canada, 63% of households speak English as their primary language, and 23% speak French as their…

A: Solution: Let A be the event that the household speaks French and B be the event that the household…

Q: A check of dorm rooms on a large college campus revealed that 36% had refrigerators, 58% had TVs,…

A: Let A=dorm room has refrigeratorsB=dorm room had TVsP(A)=0.36P(B)=0.58P(A∩B)=0.24

Q: Suppose that five hundred residents were randomly selected and asked whether they have covid vaccine…

A: There are two categorical variables which are gender and Covid Vaccine booster shot. We have to find…

Q: Of all the students who take the CPA examination, one-fourth have a Master’s degree and the…

A: It is given that one-fourth have a Master’s degree and the remainder have Bachelor’s degrees. Half…

Q: A new credit card has been issued to 2000 customers. Of these customers, 1500 hold a Visa, 500 hold…

A: Given that, n(Visa)= 1500 n(AA)= 500 n(Visa n AA)= 40 Total, n= 2000 We've to find, P((Visa n…

Q: A box in a supply room contains 24 compact fluorescent lightbulbs, of which 8 are rated 13-watt, 9…

A:

Q: A study of dorm rooms on a large college campus revealed that 42% had refrigerators, 56% had TVs,…

A: Given that : A represents the refrigerator  B represents the T. V.  P(A) = 42% ;  p(B) = 56%  P(…

Q: According to a journal article on ancient Japanese history, 1 in every 5 samurai became masterless…

A: Given that 1 in every 5 samurai became masterless (Ronin). Therefore probability of becoming Ronin…

Q: In a class of fifteen boys and ten girls, students are randomly chosen to give their speeches. What…

A: First of all we will list the total number of boys and total number of girls. Now we will use the…

Q: A new credit card has been issued to 2000 customers. Of these customers, 1500 hold a Visa, 500 hold…

A: Given : Total number of customers  =2000 Visa holder = 1500  AA card holder = 500 Visa and AA card…

Q: Of 100 students, 50 are taking Calculus, 43 are taking French, and 10 are taking both Calculus and…

A:

Q: The employees of a company were surveyed on questions regarding their educational background…

A: Given information is, P(College degree) =400/600 P(Single)               = 100/600 P(Single college…

Q: A study done on students attending Saddleback College found that 31% of them do not own their own…

A: From the provided information, 31% of students do not own their own car that is p = 0.31 Sample size…

Q: A new credit card has been issued to 2000 customers. Of these customers, 1500 hold a Visa, 500 hold…

A: Here, the total number of customers is 2000. Number of customers who hold Visa is 1500 Number of…

Q: In a class of 40 students, 18 are male and 22 are female. Two-thirds of the male students and…

A: We have given that  The total number of students = 40  Total number of male = 18 Total number of…

Q: The living districts of a class of 28 students are recorded in the following table   A B C Number…

A: Given: The table representing the division of boys and girls is given below   A B C Number of…

Q: In a university, 30% of the students major in Business Management, 25% major in Mathematics, and 10%…

A: The likelihood occurrence of observation involve in the event is known as probability. Conditional…

Q: An ENGDATA class for engineers consists of 5 industrial, 10 electronics, 12 mechanical, 10…

A: Given: Total number of students=45Number of Industrial students=5Number of electronics…

Q: At a coffee shop, the first 100 customers' orders were as follows. Small Medium Large Hot 48 22 Cold…

A: Given :   small medium large Hot 5 48 22 cold 8 12 5

Q: The bargains Auto Mall has the following cars in stock. SUV 20 Mid-sized 20 45 Compact Foreign…

A: Probability is the ratio of favorable outcomes and the total number of possible outcomes, i.e,…

Q: 1. In a group of 100 sports car buyers, 40 bought alarm system, 30 purchased bucket seats and 20…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: A card is drawn from an ordinary deck of cards and replaced, then a second card drawn. Find the…

A:

Q: At a particular school with 300 male students, 105 students are studying physics, 84 students are…

A: Let P and B be the events denoting students studying Physics and Biology. We know,…

Q: The following table shows the number of students in three different degree programs and whether they…

A: Given:   Undergraduate Graduate Total Business 150 50 200 Engineering  150 27 175 Art &…

Q: • A random sample of 200 adults are classified be- low by sex and their level of education attained.…

A: Solution: The given table of data is

Q: If 30% of all dogs in a city have brown hair. In a sample of 500 dogs, what is the probability that…

A:

Q: A survey is done of customers at a coffee shop to determine whether there is any difference in the…

A:

Q: Of 120 Pharmacy freshman, 65 are taking Math-150 and 47 taking Physics. 20 students of the freshman…

A: a) There are 120 Pharmacy freshman in which 65 are taking Math-150 and 47 taking Physics. And 20…

Q: 3. An ENGDATA class for engineers consists of 5 industrial, 10 electronics, 12 mechanical, 10…

A: Solution

Q: In a survey of 98 baseball fans in NYC, 51 were fans of the Mets, 68 were fans of the Yankees and 34…

A: Given that there total 98 fans And we have to find probability of picking one random fan who is…

Q: out of 180 law students surveyed, 90 took Contract Law, 50 took Administrative Law, and 20 took…

A:

Q: 2. In a particular class, 78% of the students have a smartphone, 38% have a smartphone and a tablet,…

A:

Q: A study of the incoming freshman class at a university found that 60% of the students had taken AP…

A: Here, we are given that: P(C) = 0.6, P(E) = 0.55 and P(C and E) = 0.2

Q: In a school of 320 students, 85 students are in the band, 200 students are on sports teams, and 60…

A: The probability of union of two events A and B is given by, Where Union of event A and B is denoted…

Q: A check of dorm rooms on a large college campus revealed that 38% had refrigerators, 55% had TVs,…

A:

Q: For students majoring in Hospitality Management, it was determined that 5% have visited 1–10 states,…

A:

Q: The office survey for a city company showed the mode of transport for the workers in the office. The…

A:

Q: In a manufacturing plant, three machines, A, B, and C, produce 38%, 33%, and 29%, respectively, of…

A: Machine A, B, C produces 38%, 33%, and 29%. P(A) = 0.38 %, P (B) = 0.40 and P(C) = 0.29% D denote…

Q: According to a journal article on ancient Japanese history, 1 in every 5 samurai became masterless…

A: The probability samurai becomes masterless is p=15 The number of samples are n =20 The Probability…

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.