Suppose that we have the set U={n: 0

Q: 1. Let A = {1, 3, 12, 35}, B = {3, 7, 12, 20), and C = {x | x is a prime number}. List the elements…

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Q: Which of the following sets are close under MULTIPLICATION? Choose ALL that apply. I. The set of…

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Q: 6. DeMorgan's Laws If A = the set of all alligators and C = the set of all crocodiles a. What kinds…

A: We have to use demorgan law

Q: Let J = {1, 2, 3, ... }, the set of counting numbers and let R be the set of real numbers. Is R − J…

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Q: Find the mass and the center of mass of the following solid: The tetrahedron bounded by the planes…

A: The given problem is to find mass and center of mass of the given solid tetrahedron bounded by given…

Q: Given a universal set containing integers between 0 and 21. Set A contains odd numbers while set B…

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Q: Consider your eight-digit student ID as a set of single-digit integers. For example, if your student…

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Q: If R = {1, 4, 6, 7) and T = {4, 7, 9), find the following sets. (A) {x| XER or xET) (B) RUT (A)…

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Q: 3. Consider the set of numbers S that are multiples of three and larger than 10. Write S in roster…

A: S is the set of numbers multiple of 3 and larger than 10 In roster notation S={ 12 ,15 ,18,21,24…

Q: Suppose set A={1,2,3,...,50} is divided into exactly two disjoint, nonempty sets. For example, one…

A: My approach is the I break into 2 disjoint part and take cardinality(number of element) of every…

Q: Suppose the universal set is the set of natural numbers N. Consider the sets A = {1,2,3, 4,5,6} and…

A: Let us consider the set A  and B 1. Ac set all the elements from the universal set other than the…

Q: How many subsets are there of the set N = {9}?

A: Given,          The set is N=9We know that,         The number of subsets of a given set is 2n ;…

Q: Give the number of subsets & the number of proper subsets; a. A={ a, b, d} # of subsets: # of proper…

A: Number of subsets of set having n number of elements  = 2n Proper subset is a subset , which is not…

Q: The binary operation * is defined on the set of R by a * b = (a + b) / (a – b). What is a * b if a =…

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Q: To determine the set indicated below, use A = {18, 19, 20} , B = {18, 19, 20, 23, 26}, and C = {14,…

A: Given that    A= {18, 19, 20} B = {18, 19, 20, 23, 26}  C = {14, 16, 17, 19, 20, 23, 24} The details…

Q: Examine the properties of the operation o defined by the equation xoy= x2+y2 in the N natural…

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Q: = (10,11}

A: Whole Numbers: Set of numbers {0,1,2,3,.....} Whole numbers between 9 and 12 are 10,11

Q: 6. Which of the folowing correcty classifies the number-5 to al of the number seta which it belonga?…

A: b is correct.

Q: Let A₁ = {1, 2, 3, 4, 5, 6}, A2 = {7, 8, 9, 10, 11, 12, 13} and {14, 15, 16, 17, 18, 19}. A3 = How…

A: Let A1=1, 2, 3, 4, 5, 6, A2=7, 8, 9, 10, 11, 12, 13 and A3=14, 15, 16, 17, 18, 19.   To Find: How…

Q: Use the results from parts (a) and (b) to answer part (c). Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9), A =…

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Q: wing A= {2,5,6}, B = {1,2,3,7), C= {x|x € [?][?][?], x>0, x <10}, D={10,11} Write out AnB a.

A: Since set C is not clear, so I will solve only part a. Solution a: Given A=2,5,6, B=1,2,3,7

Q: Which of the following could be considered as NOT an equal set? B = (x : xe Z, -3 < x 0}; C = {0,…

A: Equal sets are the two sets having same element.

Q: Use the given information to find n(Ax B) and n(BXA). n(A) = 86 and n(B) = 7 Find the number of…

A: given  n(A)=86n(B)=7we know  n(A×B)=n(B×A)=n(A)×n(B)

Q: Rewrite the following using mathematical symbols: (a) A is equal to the set whose elements are a, b,…

A: The elements of a set are always presented using curly braces. If P is a subset of Q, then it can be…

Q: A universal set U with 48 elements has been partitioned into three subsets, A, B, and C. If B is 5…

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Q: Classify the number as a member of one of the following sets: the rational numbers, the integers,…

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Q: Let S be set of integers and for any three numbers say a, b, c E N. Then, a*b* c = max{a,b,c}.…

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Q: Suppose that the universal set U is the set defined as U={1,2,3,4,5,6,7,8,9,10} Write the sets A…

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Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.