Solve the problem that involves probabilities with events that are not mutually exclusive. Consider a political discussion group consisting of 8 Democrats, 5 Republicans, and 7 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting an Independent and then a Democrat.

Q: An urn contains 11 red, 10 white and 37 blue marbles. A child selects two marbles at random and…

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Q: If 14% of active duty soldiers in the U.S. Army are women, find the probability that if four…

A: Let X represent the random variable   n=4 p=0.14   X~ Binomial (4, 0.14)

Q: In a family with 7​children, excluding multiple​ births, what is the probability of having7 ​girls?…

A: total no.of possible outcomes of a family having a 7 children iss=27s=128

Q: Suppose that 54% of people own dogs. If you pick two people at random, what is the probability that…

A: Given, 54% of the people own dog.That is

Q: At a local college, 76 of the male students are smokers and 114 are non-smokers. Of the female…

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Q: A card is drawn from a deck of 52 cards. What is the probability that it is a numbered card (2-10)…

A: The question is about probability Given : No. of cards in a deck = 52   To find : Prob. that a…

Q: If one card is randomly selected from a deck of cards, what is the probability of selecting a king…

A: In a deck of 52 cards, there are 4 kings and 4 queens.  So total number of kings or queens= (4+4)=8…

Q: A committee of two people needs to be chosen. There are two men and six women available to serve on…

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Q: Select one card from a deck of well-shuffled cards. What is the probability we select a Diamond or a…

A: Deck consists of 52 cards. n(S)=52 Let D be event that card is diamond. n(D)=13 Let H be event that…

Q: Suppose the composition of the Senate is 47 Republicans, 49 Democrats, and 4 Independents. A new…

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Q: Suppose that 84% of students in a college have a smart phone. If you select three students at…

A: sample size(n)=3 p=0.84 Let "x" be no.of students have a smart phone x~Binomial(n=3,p=0.84)…

Q: As the number of hours since you ate protein increases from 2 to 2.75 hours what is the average rate…

A: Given: At 2 hours B1=1100 mg/L At 2.75 hours B2=1025 mg/L

Q: Suppose that 20% of people own dogs. If you pick two people at random, what is the probability that…

A: Given that, 20% of people own dogs. Sample size = 2

Q: Two cards are randomly selected from a deck of 52 cards. What is the probability that the two cards…

A: Given two cards are randomly selected from a deck of 52 cards. We have to find the probability that…

Q: A couple is planning to have 6 children. If the true probability of a baby girl being born is 0.521,…

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Q: If you pick a card from a standard deck of cards, what is the probability of picking the 3 of…

A: Given that Number of cards in a deck  n(S)=52 We have to find the probability that  picking the 3 of…

Q: uppose you and your best friend are both in a group of 20 people, and five people are to be randomly…

A: Given that  Suppose you and your best friend are both in a group of 20 people. Randomly selected…

Q: suppose we select one card from a standard deck of 52. what is the probability of selecting a club?

A: given data select one card from a standard deck of 52 cards. p(selecting club) = ?

Q: Suppose that you have $11,000 in a rather risky investment recommended by your financial advisor.…

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Q: A box contains 3 red and 4 blue marbles. Two marbles are drawn one at a time, without replacement.…

A: Probability distribution tree is shown below:   (a) Determine the probability that both marbles are…

Q: Select one card from a deck of well-shuffled cards. What is the probability we select a face or a…

A: Given : Let A be the event of getting face card from a deck of well-shuffled cards  P(A) = 1252 Let…

Q: Suppose that 85% of people are voting in the election. If you pick two people at random, what is the…

A: Obtain the probability that they both are voting in the election.   The probability that they both…

Q: Solve the problem that involves probabilities with events that are not mutually exclusive. Consider…

A: It is given that a group consisting of 7 democrats, 8 republicans and 3 independents.

Q: Suppose that 53% of people own dogs. If you pick two people at random, what is the probability that…

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Q: A box contains 30 calculators of which 7 is defective. If three calculators are selected without…

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Q: Five grade 10 students, six grade 11 students and four grade 12 have signed up for a trip. Only four…

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Q: A person is dealt a 5 card hand. What is the probability that they get a pair of Queens or a pair of…

A: Total number of cards in a deck = 52 Number of kings = 4 Number of queens = 4 Number of cards drawn…

Q: A class consists of 10 males and 30 females. If one student is randomly selected from the class,…

A: We have given the  that  10 males  30 females  Total = 40

Q: If the probability of being hospitalized during a year is 0.25. Find the probability that no one is…

A: X has binomial distribution. X~binomial(n,p)n=3p=0.25probability mass function of X;…

Q: A class has 14 girls and 12 boys and a committee of 5 is chosen. What is the probability that this…

A: We have given that Number of girls = 14 Number of boys = 12 Total students = 12+14 = 26 We have to…

Q: class consists of 50 women and 21 men. If a student is randomly selected, what is the probability…

A: According to the given information in this question, we need to find the following probability

Q: A four-person committee is randomly selected from a pool of 19 Americans and 13 Canadians. What is…

A: No.of Americans = 19  No.of Canadians  = 13 Total no.of persons = 32 (i.e. 13+19) Consider that…