110 Answered Questions for the topic Venn Diagram

04/02/15

What is the probability that exactly one blue ball is chosen?
Assume that you have 5 red balls and 6 blue balls from which randomly to select two without replacement.(1) What is the probability that exactly one blue ball is chosen? (2) What is the probability... more
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04/02/15

What is the probability of neither being red given that neither is blue?
For this problem, assume the box contains 3 red balls, 5 blue balls, and 8 white balls, and that we choose two balls at random from the box.What is the probability of neither being red given that... more
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Venn Diagram Probability Fractions Sets

04/02/15

What is the probability of selecting 1 mouse of each gender given that both are grey?
For this problem, assume there are 5 grey females, 2 grey males, 4 white females, and 5 white males. As in the book, the biologist selects two mice randomly. (1) What is the probability of... more
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04/01/15

If the student plans to go to medical school, what is the probability that he is a freshman?
Assume that the class consists of 40 percent freshmen, 15 percent sophomores, 10 percent juniors, and 35 percent seniors. Assume further that 50 percent of the freshmen, 35 percent of the... more
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Venn Diagram Probability Fractions Sets

04/01/15

What is the probability that exactly one blue ball is chosen?
Assume that you have 6 red balls and 7 blue balls from which randomly to select two without replacement.(1) What is the probability that exactly one blue ball is chosen? (2) What is the probability... more
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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... more
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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] =
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03/30/15

What is Pr[E | F]?
Suppose for this problem that Pr[E] = [ 5/8] and Pr[F] = [ 3/4]. Just as in the book, Pr[(E ∪F)′] = 0.(1) What is Pr[E | F]? (2) What is Pr[F | E]?
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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]?
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03/30/15

Compute the following conditional probabilities
but assume that Pr[E] = 0.3, Pr[F] = 0.35, and Pr[E′∩ F] = 0.15. Compute the following conditional probabilities: (1) Pr[E | F] = (2) Pr[F | E] =
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03/30/15

What is Pr[F | E]?
Suppose for this problem that Pr[E] = [ 5/8] and Pr[F] = [ 3/4]. Just as in the book, Pr[(E ∪F)′] = 0. (1) What is Pr[E | F]? (2) What is Pr[F | E]?
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03/29/15

Compute the following conditional probabilities
events E and F in a sample space S, but assume that Pr[E] = 0.3, Pr[F] = 0.35, and Pr[E′∩ F] = 0.15.  Compute the following conditional probabilities: (1) Pr[E | F] = (2) Pr[F | E] =
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03/29/15

What is Pr[E | F]?
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]?
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03/29/15

What is Pr[E | F]?
Suppose for this problem that Pr[E] = [ 5/8] and Pr[F] = [ 3/4]. Just as in the book, Pr[(E ∪F)′] = 0. (1) What is Pr[E | F]? (2) What is Pr[F | E]?
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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] =
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03/27/15

Find the following probabilities
events A and B in a sample space S. Assume that Pr[A] = 0.45, Pr[B] = 0.55, and Pr[A′∩B] = 0.4. Find the following probabilities:(1) Pr[B′∩A] = (2) Pr[A∩B] = (3) Pr[A′∩B′] =
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03/27/15

Assume that Pr[A] = 0.4, Pr[B] = 0.7, and Pr[A nB] = 0.3.
events A and B in a sample space S. Assume that Pr[A] = 0.4, Pr[B] = 0.7, and Pr[A ∩B] = 0.3.(1) Pr[B′∩A] = (2) Pr[A′∩B] = (3) Pr[A′∩B′] =
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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... more
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03/27/15

Find the following probabilities
involving events E, F, and G in a sample space S. Assume that Pr[E] = 0.45, Pr[F] = 0.3, Pr[G] = 0.5, Pr[E∩F] = 0.15, Pr[E∩G] = 0.25, Pr[F∩G] = 0.1, and Pr[E∩F ∩G] = 0.05;. Find the following... more
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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]
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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... more
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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,... more
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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... more
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Venn Diagram Math Probability Sets

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... more
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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?
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