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 survey of consumers aged 12 and​ older, respondents were asked how many cell phones were in use…

A: In a survey of consumers aged 12 and​ older, respondents were asked how many cell phones were in use…

Q: A law firm has nine senior and four junior partners. A committee of three partners is selected at…

A: Here given,Law firm has 9 senior and 4 junior partners.Total partners = 9+4Total partners =13Sample…

Q: There are 48 students in a stats class. Eight try to listen to the school announcements. If 5…

A: From the provided information, Total students in stats class = 48 If 8 try to listen the school…

Q: A bank assigns a 4-digit ID number to each new customer. If each digit is randomly selected from the…

A: For any event A, with sample space S, the probability can be found by the formula,

Q: Of engineering students on internship, 25% were provided with allowances. If 5 students are selected…

A:

Q: Find the probability that exactly 2 flights had delayed take-offs.

A: At a certain airport, 10% of flights experienced delayed take-offs because of airport operations. 15…

Q: A law firm has nine senior and four junior partners. A committee of three partners is selected at…

A: In this given question we have to find the Probability that at least one of the junior partners is…

Q: Twelve of the 50 digital video recorders (DVRS) in an inventory are known to be defective. What is…

A: P(defective) = Number of defective/Total

Q: According to Costco's records, 25% of customers who make a purchase return the item for a refund or…

A: Given n=10 P=0.25

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: A group of people were asked if they had run a red light in the last year. 203 responded "yes", and…

A: The number of people, who responded to have run a red light, i.e., the number of responses in terms…

Q: Of the cartons produced by a company, 3% have a puncture, 5% have a smashed corner, and 0.4% have…

A: Given that , cartons produced by a company, 3% have a puncture, 5% have a smashed corner, and 0.4 %…

Q: A physics class has 50 students. Of these, 18 students are physics majors and 16 students are…

A: From the given information, total number of students n(S) = 50. Number of physics majors n(Physics)…

Q: According to government data, 20% of employed women have never been married. If 10 employed women…

A: Given: The value of p is 0.20. The value of n is 10. X~Bn,pX~B10,0.20 For binomial distribution, the…

Q: Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced…

A: The objective of this question is to find the probability of selecting a six and then selecting a…

Q: Ten of the 100 digital video recorders (DVRS) in an inventory are known to be defective. What is the…

A: Given that in total of 100 digital video recorders 10 are defective. Let the probability of…

Q: Five men are sitting around a round table. What is the probability of two particular men sitting…

A: here given ,  there are total 5 men seated around the table  Here use Total arrangement Concept

Q: Fifty-three percent of all persons in the U.S. population have at least some college education.…

A:

Q: Five cards are drawn from a standard 52-deck of cards.  Calculate the probability that there is…

A:

Q: A shipment of 40 inexpensive digital​ watches, including 7 that are​ defective, is sent to a…

A: Given data: The total numbers of digital watches are n=40. The total number of defective watches are…

Q: Nineteen of the 100 digital video recorders (DVRS) in an inventory are known to be defective. What…

A: Given that  Number of Defective digital video recorders = 19 Total video recorders (n) = 100   We…

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: For each random variable, find the probability that it is less than its expected value of 1.

A: Here given that random variable X follow exponential distribution.  Y follow uniform distribution.…

Q: A jar contains 6 black marbles and 13 yellow marbles. One marble is drawn at random. The probability…

A: To find: Probability of getting a black marble.

Q: In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use…

A:

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: Five of the 50 digital video recorders​ (DVRs) in an inventory are known to be defective. What is…

A: From the provided information, Total digital video recorders in an inventory = 50 Defective video…

Q: Of 520 male St. Mary's students, 54 plan to study math or science. Of 55 female St. Mary's students,…

A: Let Event A - Student is male,       Event B - Student is female.       Event E - Student selects…

Q: Customers use an automatic teller machine at an average rate of 15 per hour.  What is the…

A: Given: Average rate, λ=12

Q: Of 100 job applicants to the United Nations, 20 speak French, 30 speak German, and 14 speak both…

A:

Q: Out of 250 applicants for a job, 140 are female and 30 are female and have a graduate degree. Step 1…

A: Total no. of applicants for a job=250No. of female applicants=140No. of female and have a graduate…

Q: A shipment of 50 inexpensive digital​ watches, including 10 that are​ defective, is sent to a…

A: Given that there are 50 digital​ watches.Among them 10 are defective. So (50-10)=40 are good. Let us…

Q: In a math class with 20 students, a test was given the same day that an assignment was due. There…

A: There are totally 20 students in a math class attended a test was given the same day that an…

Q: Find the probability that a randomly selected piece is not blue.

A: Total number of pieces in bag of candy = 110 Probability = (#no of Favorable outcomes)/(#total…

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.