494 Answered Questions for the topic Finite Mathematics
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
Suppose that 6 female and 6 male applicants have been successfully screened for 5 positions.
Personnel selection. Suppose that 6 female and 6 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 12 finalists, what is the...
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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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Finite Mathematics
03/27/15
Solve the system of linear equations using the Gauss-Jordan elimination method x – 2y = 8 3x + 4y = 4
Solve the system of linear equations using the Gauss-Jordan elimination method
x – 2y = 8
3x + 4y = 4
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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...
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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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03/25/15
What is the probability that the second apple you pick is red?
nvolving the selection of two apples from a bag of red and yellow apples without replacement. Assume that the bag has a total of 10 apples: 6 red and 4 yellow.(1) What is the probability that the...
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Finite Mathematics
03/23/15
determine the elements of the set (X'uY)n(Z'uY)'
given U={0,1,2,3,4,5,6,7,8,9}, x={2,4,6,8}, Y={0,2,3,4,5,6}, Z={0,1,2,3,8,9}
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Finite Mathematics
03/23/15
probability model
a bin contains 4 apples and 3 oranges. 5 pieces of fruit are selected at random Without replacement
A.) construct a probabilistic model for this experiment using combination
b.) What is the...
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