9. During a department store sale, 30 shoppers bought only clothing, 20 shoppers bought only towels, and 20 shoppers bought both clothing and towels. If 100 people shopped that day and a shopper is chosen at random, what is the probability that the shopper has bought towels? 7 A) 10 B) 3 D) 3

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A: Given that P(Independent)=0.40 P(Democrat)=0.30 P(Republican) =0.30 P(Biden won| Independent) =0.65…

Q: The deck for a card game contains 30 cards. 10 are red, 10 are yellow, 5 are blue, 1 green, and 4…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set of…

Q: Of the people who fished at Clearwater Park today, 18 had a fishing license, and 12 did not. Of the…

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Q: Of the employees at a store, 15% are nightshift workers, 50% are cashiers, and the rest are…

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Q: The pool of students in a calculus class consist of 22 sophomore and 8 freshmen. If seven students…

A: Let the students of sophomore year be denoted by S and freshmen be denoted by F.   Given: Number of…

Q: 2.60 If 3 books are picked at random from a shelf con- taining 5 novels, 3 books of poems, and a…

A: 2.60 If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a…

Q: How many 4-letter arrangements can be made from the letters of the word DEALING, such that: (i) two…

A: Number of arrangement of data can be calculated using either permutation or combination. Permutation…

Q: A Real estate company with 14 employees in their central office, 8 in their north office, and 6 in…

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Q: Clearwater Park today, 42 had a fishing license, and 28 did not. Of the people who fished at…

A: Given that  Of the people who fished at Clearwater Park today  People having Fishing license  = 42…

Q: Assume that in a large city, 60% of all employees are working at home. d. If 13 employees are picked…

A: From the provided information, 60% of all employees are working at home that is p = 0.60

Q: Consider the vending machines on campus. There are three different types: snack dispensers, hot…

A: Let us denote:S=SnackH=hot drinkC=cold drinkA=servicing neededGiven that: P(S)=25%=0.25,…

Q: 9. A census by the county dog control officer found that 18% of homes kept one dog as a pet, 4% had…

A: Given Information: Probability of one dog = 0.18 Probability of two dogs = 0.04  Probability of…

Q: Suppose that a box containing music CDs has 4 with country music, 6 with rock music, 3 with jazz…

A: A box containing music CDs has 4 with country music, 6 with rock music, 3 with jazz music, and 7…

Q: f 7 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that: a.…

A: Number of cards for dealt is 7. Total number of cards in a deck is 52.

Q: A deck of 15 cards has 5 green cards labeled 1 through 5,five blue cards labeled 1 through 5, and…

A: We have given that  Total cards=15 5 green cards labeled 1 to 5 5 blue cards labeled 1 to 5 5 red…

Q: (a) Consider three classes, each consisting of 20 students. From this group of 60 students, a group…

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

Q: An insurance company looks at its auto insurance customers and finds that (a) all insure at least…

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Q: In a class, there are 30 students from Ankara, 50 from Istanbul and 20 from other cities. If a…

A: Classical Definition of Probability: If there are n mutually exclusive, exhaustive and equally…

Q: An urn contains 5 red, 6 blue, and 8 green balls. If a set of 3 balls is randomly selected, what is…

A: given that,  5 red balls 6 blue balls 8 green balls total number of balls = 19 we have to choose 3…

Q: Suppose 6 cards are dealt from an ordinary deck of 52 playing cards. (a) What is the probability…

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Q: A box contains 6 red, 4 white and 3 blue balls. If a ball is chosen at random, what is the…

A: We have to find given probability of random selection.   Box 1 contains 6 red, 4 white and 3 blue…

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

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Q: A closet contains 8 pairs of shoes. If 4 shoes are randomly sele ted, what is the probability that…

A: A closet contains 8 pairs of shoes. If  shoes are randomly selected. We have to find the probability…

Q: At a community swimming pool there are 2 managers, 8 lifeguards, 3 concession stand clerks, and 2…

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

Q: insurance company determines that the probability a person files a claim in the next year is 8%. If…

A: Given data,probability a person files a claim in the next year is 8%p=8%=0.08If n=10what is the…

Q: A small company has 5 part time employees and 10 full time employees. Of the part time employees, 3…

A: Introduction: In random experiment, mutually exclusive events are very important. These events are…

Q: A cooler contains 9 bottles of water: 3 sparkling and 6 regular. If two are drawn out at random what…

A: According to the provided data, the total number of water bottles in a cooler is 9 out of which 3…

Q: C) in osorno a trip to viña del mar is raffled among the 120 best clients of yogi market. of them,…

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Q: A survey of 1000 students found that 41% of the surveyed students were freshmen, 31% were juniors,…

A: Given that 1000 students were surveyed.

Q: Given a class of 12 girls and 10 boys please answer these questions containing to these questions…

A: There are 22 students in a class out of which 12 are girls and 10 are boys.

Q: A financial services committee had 60 members, of which 9 were women.  If 8 members are selected at…

A: Given, 8 members are selected at random from a committee of 60 members, then the total number ways…

Q: In roulette, a wheel with 38 numbers is spun. Of these 38 numbers, 18 are red, 18 are black and the…

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Q: Among 500 freshmen pursuing a business degree at a university, 320 are enrolled in an Economics…

A: Probability of an event:The formula for probability of an event is as follows.

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) =…

Q: a group of 200 students includes 120 who watch television news, 80 who read a newspaper, and 60 who…

A: Let A=television=120,  B=read newspapers=80   We want to find the following probability  A) P(A or…

Q: 4) Determine the probability that a sibship of 6 will comprise: (a) 4 boys and 2 girls. (b) boys as…

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Q: If the committee is chosen at random, what is the probability that it contains at least as many…

A: Probability means the chance of occurring a certain event. Event is said to be mutually exclusive,…

Q: R. H. Bruskin Associates Market Research found that 40% of Americans do not think that having a…

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Q: If 5 cards are drawn from a standard deck of 52 playing cards, then the probability of getting at…

A: Given: Number of cards in a deck is, N=52. Number of cards drawn at random is, n=5. The objective…

Q: From experience, the human resources director of a certain company estimates that, for a particular…

A: Let us assume that Q=qualified A=pass the selection process Given that P(Q)=80%=0.80 P(A|Q)=85%=0.85…

Q: Suppose that in a barangay, three out of five are registered voters. If 10 people are selected at…

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Q: b) There are 10 socks in a drawer, 5 white and 5 black. Two socks are selected uniformly and at…

A: We have to find out given probabiity..

Q: A jar holds 19 cookies, 11 are chocolate-chip cookies, and 8 are brussel-spout-with-turnip-chips…

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Q: 2 A local bank reports that 80% of its customers maintain a checking account, 60% have a savings…

A: Let C - checking account. S - savings account P(C) = 0.80 P(S) = 0.60 P(C and S) = 0.50

Q: A grocery store obtains 35% of its produce from vendor A and 65% from vendor B. It is expected that…

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Q: 3. According to a survey in a country 25 % of all houscholds are wircless only houscholds(no…

A: Givenp=0.25n=20x~Binomial(n=20,p=0.25)P(X=x)=(nx)×px×(1-p)n-x ; x=0,1,...,n

Q: 2. A jury pool consists of 27 people, 14 men and 13 women. Compute the probability that a randomly…

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: Assume that 11 cards are randomly selected from a stan- dard 52-card deck, without replacement. What…

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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.