484 Answered Questions for the topic Finite Mathematics
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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Finite Mathematics
03/22/15
Gasoline mixture question
A service station has 65 octane and 78 octane gasoline. How many liters of each gasoline should be mixed to provide 13 liters of 75 octane gasoline for a chemistry experiment?
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Finite Mathematics
03/22/15
How would you simplify [(6t)^2]^6? in expoential notation
How would you simplify [(6t)^2]^6? in exponential notation
Finite Mathematics
03/18/15
Venn Diagram
500 freshman at USC are pursuing a business degree.
300 are enrolled in economics
225 in mathematics
140 in both courses
what is the probability a freshman selected will be enrolled...
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Finite Mathematics
03/18/15
without replacement
Three balls are selected at random WITHOUT replacement from an urn with 5 WHITE and 4 BLUE balls. Calculate the probability that:
a) two balls will be white and 1 ball will be blue
b) All...
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Finite Mathematics
03/18/15
Mutually exclusive events
Let A and be two mutually exclusive events. The P(A)= .37 and the P(B)= .24 Compute all of the following:
a) P(A intersection B)
b) P(Bc)
c) P(A U B)
d) P(Ac)
e) P(Ac intersection Bc)
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Finite Mathematics
03/16/15
Four balls are selected at random
Four balls are selected at random WITHOUT replacement from an urn with 3 WHITE and 5 BLUE balls. Calculate the probability that:
Two balls will be white and 2 balls will be blue
All four...
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Finite Mathematics
03/15/15
Mutually exclusive events
Let A and B be two mutually exclusive events. The P(A)=.4 and the P(B)=.2 Compute all of the following
a) P(A intersection B)
b) P(Ac)
c) P(A U B)
d) P(Bc)
e) P(Ac intersection Bc)
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03/12/15
Questions A and B
A) How many ways can we select a 3-person committee from a group of 8 people.B) How many ways can a President,a Vice President, and a Secretarybe chosen from a group of 8 people?
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03/12/15
How many people in the group, speak both French and German?
A group of 110 people touring Europe includes 51 people who speak French, 59 who speak German, and 22 who speak neither language. How many people in the group,speak both French and German?
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03/12/15
How many different license plates are possible if each contains 3 letters (out of alphabet’s 26 letters) followed by 3 digits (from 0 to 9)?
How many different license plates are possible if each contains 3 letters (out of alphabet’s 26 letters) followed by 3 digits (from 0 to 9)?
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