If a randomly selected teacher is asked their preference, what is the probability that the teacher has:   Only Snapchat? Facebook and Instagram? P(F ∩ I) None of the sites? P(F ∪ I ∪ S)’

Q: An experiment has five possible outcomes, A, B, C, D, and E, that are mutually exclusive. Check…

A: In (a) all the probabilities of outcome are positive and the total of the probability is equal to 1.…

Q: Two marbles are picked at random , one at a time and without replacement , from a box containing 7…

A: Two marbles are picked at random , one at a time and without replacement , from a box containing 7…

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Q: or five of the 10 dishwashers randomly selected from the service will change their parts? a)

A: Given Data : Probability,p = 20/60 = 0.33 number of trial,n = 10

Q: Q=28,14 4. Color of Raincoats There ate 37 raincoats for sale at a local men's clothing store.…

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A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 5. Baje Ltd employs 60 females and 40 males. A random sample of 10 employees is asked to fill out a…

A: We have given that  n=10 , p=60/100=0.6 , q=0.4 X~Binomial(n=10,p=0.6) X=the number of females…

Q: in a bag of peanut m&m milk chocolate candies, the colors of the candies can be brown, yellow,…

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A: Answer 5:-  Given a bag has 4 blue and 5 red marbles. One marble is drawn and set aside,…

Q: When 2 balanced dice  rolled,    Let, A =event the red die comes up even, B =event the black die…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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A: Solution: From the given information, Bag p has 8 bananas, 7 mangoes and 3 papayas. Bag y has 6…

Q: 7. There are possible sets of k seats to be occupied, and they are all equally likely. There are…

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Q: A serving of fruit salad contains 4 strawberries, 6 blueberries, 3 grapes, and 7 cherries. Suppose…

A: a) There are 4 strawberries, 6 blueberries, 3 grapes and 7 cherries.

Q: t think that having a college education is important to succeed in the business world. If a random…

A: This is the case of binomial, as there are only two possible outcomes which are independent and…

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Q: In an election, 66% of the voters were Republicans, and 34% were not. Of the Republicans, 60% voted…

A: Note: Hey there! Thank you for the question. As you have posted multiple sub-parts, we have helped…

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Q: Of the students at a certain university, 60% think their courses are challenging (C), 35% think…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: n a tennis tournament between three players A,B and C, each player plays the others once. The…

A: From the given information,   P(A beats B ) =0.5, P(A beats C) =0.7, and P(B beats C) = 0.4.…

Q: f 20% of the people in a community use JAC Liner when they go to Manila from Lucena City, find the…

A: Given data, p=20%=0.20 n=20

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Q: When randomly selecting adults, let M denote the event of randomly selecting a male and let B denote…

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Q: a) A warehouse employs 24 workers on first shift and 17 workers on second shift. Eight workers are…

A: Solution: Note: Hello! As you have posted 6 different questions, we are answering the first question…

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Q: 3. A toy is drawn at random from a box containing 18 red toys, 25 white toys, and 41 blue toys…

A: I solved first 3 subpart because of bartleby policy if you want more please uplode separately....

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Q: When randomly selecting adults, let M denote the event of randomly selecting a male and let B denote…

A: Let M denote the event of randomly selecting a male  Let B denote the event of randomly selecting…

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Q: a) Clients at a restaurant are choice of chips or finger potato with either burger or lasagna. Out…

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Q: 3. A jar contains black and white marbles. Two marbles are chosen without replacement. The…

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Q: 1. Of the students in the college, 60% of the students reside in the hostel and 40% of the students…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

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Q: Example Among 1,000 applicants for admission to M.A. economics course in a University, 600 were…

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Q: A 8 person committee consist of 5 women, including Margaret, and 3 men, including Anthony. If a…

A: (a). Find the number of different subcommittees include at least one of Anthony or Margaret: It is…

Q: mich of the following pairs of events are independent? Select all that apply. A. Draw a 2 of clubs…

A: as per policy only first three subparts are answered.

Q: 7. In a classes of 400 students, 220 are women, 100 are earning an A, and 70 are women that are…

A:

Q: Among a group of 300 pet owners who visit the same pet store, it is found that 155 have a cat, while…

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Q: n a class of students 6 students have only a brother, 14 students only have a sister, and 7 students…

A: Given, In a class of students 6 students have only a brother, 14 students only have a sister, and 7…

Q: Let A and B be two independent events of a sample space. If P(A)=pa and P(B)=pb, then the…

A: The probability that at most one of them occurs is,

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.