477 Answered Questions for the topic Finite Mathematics
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...
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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...
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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...
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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...
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Finite Mathematics
03/31/15
Determine whther the equation defines y as a linear function of x. If so, write in the form of y = mx + b. 4x - 7y^2 + 6 = 0
Determine whther the equation defines y as a linear function of x. If so, write in the form of y = mx + b.
4x - 7y^2 + 6 = 0
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
(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]?
03/30/15
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] = [ 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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03/29/15
If you are dealt 5 cards from a shuffled deck of 52 cards, find the probability of getting three queens and two kings.
If you are dealt 5 cards from a shuffled deck of 52 cards, find the probability of getting three queens and two kings.
The probability is... ?
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03/29/15
An experiment consists of tossing 7 fair (not weighted) coins, expect one of the 7 coins has a head on both sides.
An experiment consists of tossing 7 fair (not weighted) coins, expect one of the 7 coins has a head on both sides. Compute the probability of obtaining exactly 2 heads.
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Finite Mathematics
03/29/15
Sample Space
Let A and B be events in sample space S such that P(A)=.6, P(B)=.5 and P(A intersection B)=.3
Find P(A/B) and P(B/A)
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03/29/15
An experiment consists of dealing 6 cards from a standard 52-card deck. What is the probability of being dealt 6 hearts?
An experiment consists of dealing 6 cards from a standard 52-card deck. What is the probability of being dealt 6 hearts?
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03/28/15
An experiment consists of dealing 7 cards from a standard 52-card deck. What is the probability of being dealt 7 hearts?
An experiment consists of dealing 7 cards from a standard 52-card deck. What is the probability of being dealt 7 hearts?
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03/28/15
A small combination lock on a suitcase has 3 wheels, each labeled with the 10 digits from 0 to 9.
A small combination lock on a suitcase has 3 wheels, each labeled with the 10 digits from 0 to 9. If an opening combination is a particular sequence of 3 digits with no repeats, what is the...
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03/28/15
A card is drawn from a well-shuffled deck of 52 cards. Find the probability that the card is a red card or a 3.
A card is drawn from a well-shuffled deck of 52 cards. Find the probability that the card is a red card or a 3.
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03/28/15
An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of drawing the 5 of diamonds?
An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of drawing the 5 of diamonds?
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03/28/15
An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of drawing a king?
An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of drawing a king?
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′] =
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 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...
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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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