89 Answered Questions for the topic Venn Diagram

04/01/15

#### What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women?

For this problem, assume that the committee contains 10 men and 5 women and that three are selected at random for a subcommittee.What is the probability that the subcommittee consists of 2 men and...
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03/31/15

#### Compute the following conditional probabilities:

events E and F in a sample space S, but assume that Pr[E] = 0.45, Pr[F] = 0.45, and Pr[E∩ F] = 0.25. Compute the following conditional probabilities: (1) Pr[E | F] = (2) Pr[F | E] =

03/30/15

#### (1) What is Pr[E | F]? (2) What is Pr[F | E]?

Suppose for this problem that Pr[E] = [ 1/12], Pr[F] = [ 1/6], and Pr[E ∩F′] = [ 0/1].(1) What is Pr[E | F]? (2) What is Pr[F | E]?

03/29/15

#### Compute the following conditional probabilities:

A and B in a sample space S, but assume that Pr[A] = 0.4, Pr[B] = 0.35, and Pr[A∩ B] = 0.1. Compute the following conditional probabilities: (1) Pr[A | B] = (2) Pr[B | A] =

03/27/15

#### What is the probability that the student attends at least one class on Monday?

involving a student's attendance at math and accounting classes on Mondays. Assume that the student attends math class with probability 0.65, skips accounting class with probability 0.4, and...
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03/27/15

#### Find the probabilities of the following events

events A and B of a sample space S, but assume that Pr[A′] = 0.4, Pr[B] = 0.55, and Pr[A′∩ B] = 0.2. Find the probabilities of the following events: (1) Pr[A∩B] = (2) Pr[A∪B] = (1) Pr[A′∪B]

03/25/15

#### What is the probability that the second ball drawn is yellow?

Assume that the box contains 12 balls: 3 red, 4 blue, and 5 yellow. As in the text, you draw one ball, note its color, and if it is yellow replace it. If it is not yellow you do not replace it. You...
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03/25/15

#### What is the probability that the business makes a profit in exactly two of its first three years?

Assume that the business makes a profit with probability 0.2 in the first year. For each year thereafter, the business makes a profit with probability 0.7 if it made a profit in the previous year,...
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03/25/15

#### What is the probability that a randomly selected car has a CD player?

Assume that the fleet consists of 35 percent Lexus, 45 percent Infinity, and 20 percent Mercedes automobiles. 75 percent of the Lexus cars, 90 percent of the Infinities, and 40 percent of the...
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03/25/15

#### What is the probability that a randomly selected student plans to major in science?

Assume that 30 percent of students have taken calculus in high school. Of those who have taken calculus in high school, 65 percent plan to major in science. Of those who did not take calculus in...
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03/07/15

#### How many of these are less than 5000?

In this version, you are to form a 4-digit number from the digits 1, 2, 3, 4, 7, 8, and 9, using each at most once.
How many of these are less than 5000?

03/05/15

#### What is the probability they sum to 9, 3, or 6?

involving the sum of two die rolls.(1) What is the probability they sum to 9, 3, or 6? (2) What is the probability they sum to at least 7?

03/05/15

#### In how many ways can the assignments be made if John writes the introduction?

Assume that 12 students, including John, are working on the project report, which contains an introduction, 4 chapters, and a conclusion for a total of 6 sections.(1) In how many ways can the...
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03/04/15

#### Finite Homework, need help: permutations, combinations, probability.

1. For this problem, assume the cooler contains 32 cans, 22 of which are regular, and the rest of which are diet.
What is the probability of selecting 5 cans from the cooler so that at least 4 are...
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03/03/15

#### How many different casts are there?

Assume that there are 6 unfilled roles: 4 male and 2 female. There are 8 men and 4 women, including Jennifer, auditioning for a part in the play. (1) How many different casts are there? (2) How...
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03/03/15

#### How many outcomes does this experiment have?

For this problem, assume the balls in the box are numbered 1 through 7, and that an experiment consists of randomly selecting 2 balls one after another without replacement. (1) How many outcomes...
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03/03/15

#### How many different answer sheets can be submitted?

For this problem, assume the test had 8 true-false questions and 8 multiple-choice questions, and that each multiple-choice question had 3 choices.

03/02/15

#### Finite Homework: Probability and statistics.

1. Assume that there are 19 frozen dinners: 10 pasta, 6 chicken, and 3 seafood dinners. The student selects 5 of them.
What is the probability that at least 2 of the dinners selected are pasta...
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03/02/15

#### (1) What is the probability that exactly 1 is an issue issue of Newsweek?

Assume that there are 6 different issues of Newsweek, 7 different issues of Sports Illustrated, and 3 different issues of Time, including the December 1st issue, on the rack. You choose 4 of them...
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02/19/15

#### In how many ways can the selection be made so that at least one of each color is drawn?

Your urn contains 7 red balls, and 9 blue balls, and you draw 4 balls.

02/19/15

#### In how many ways can merchandise be shipped from Dallas to Atlanta using these routes?

Assume that there are 3 routes from Dallas to Los Angeles, 4 routes from Los Angeles to New York, and 5 from New York to Atlanta.

02/18/15

#### (1) How many different casts are there? (2) How many of these casts include Sally?

involving the casting of a play in a community theater. Assume that there are 8 unfilled roles: 3 male and 5 female. There are 6 men and 9 women, including Sally, auditioning for a part in the...
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02/18/15

#### How many different answer sheets can be submitted?

For this problem, assume the test had 7 true-false questions and 7 multiple-choice questions, and that each multiple-choice question had 5 choices.

02/18/15

#### How many ways can you pick the cars so not all are the same size?

For this problem, assume that you are to pick 3 cars from the motor pool, which contains 8 subcompact cars, 8 compact cars, and 5 midsize cars.

02/18/15

#### (1) How many different casts are there? (2) How many of these casts include Sally?

involving the casting of a play in a community theater. Assume that there are 8 unfilled roles: 3 male and 5 female. There are 6 men and 9 women, including Sally, auditioning for a part in the play.

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