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

Q: A = {1, 2, 3, 4, 5} B = {2, 4, 6, 8} C= {3, 6, 9} U= {x | x is a positive integer less than 11}…

A: topic - sets

Q: Write down all elements of {I, J, K} x {W, X}. (Enter your answer in set notation.)…

A: The given problem is to find the Cartesian product of the given sets {I,J,K} and {W,X}.

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

A: We will answer the first three questions as per our guideline. Please resubmit the other questions…

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

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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: 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: For the set ?={−3,0,57,−8‾√,2.314520968724609....,14}A={−3,0,57,−8,2.314520968724609....,14}.…

A: Given :A=-3,0,57,-8,2.314520968724609...,14To indentify those that are…

Q: a. Let X = {a, b, c}, Y = {a, c, b}, and Z = {a, b, b, c, c, c}. What are the elements of X, Y, and…

A: # we are entitled to solve one question at a time. Please resubmit the other questions of you wish…

Q: 5. card(A) 6. card(B") 7. card(AU B") 8. card(A n B) 9. card(A U B) 10. card(An B)°) 11. card(P (A))…

A: According to our guidelines we can answer three sub-parts and rest can be reposted.

Q: Now you try these: 15) Write out the following sets. 0 = { ",13,1S,17,19,213 joly a. Odd numbers…

A: I solved exactly first question because of bartleby policy(but i solved 2) qus if you want more…

Q: If A = {x | x is an odd integer}, B= {x|x is an even integer}, C = {2, 3, 4, 5}, and D = {13, 14,…

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Q: Consider the following sets:            U = {1 , 2 , 3 , .  .  .  14 }            A = {x | x is an…

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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: Set A is the set of factors of 24, set B is the set of even natural numbers less than 25, and set C…

A: Set A is the set of factors of 24, set B is the set of even natural numbers less than 25, and set C…

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: Determine the identity element of the set N={1,2,3,..} of positive integers with addition.

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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: The given sets below are finite. Determine the set with the least number of elements. *       a. Set…

A: We will find the cardinality of each set and claim the result asked.

Q: Let U={−6,−5,−4,−2,0,1,2,3,4}, E={−6,−4,−2,4}, F={−4,−2,0,1,2}. and G={−6,−5,1,2,3}. In each of the…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

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: A = {1, 2, 3} b. A = {0, 1, 2, 3} c. A = {-2, -1, 0, 1, 2, 3, …} d. A = {…, - 2, -1, 0, 1, 2, 3}

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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: 2. (Sets) Given the universal set U= {n € N |1SnS 10), and the sets A= {n €U |n is the square of an…

A: U=n∈ℕ| 1≤n≤10 List of all universal set U=1,2,3,4,5,6,7,8,9,10

Q: Recall that hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A,…

A: We know that,Hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,…

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: 1. How many ways can you choose 4 numbers from the set p = {4, 6, 8, 10, 12} or 3 numbers from the…

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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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Q: Consider the following three sets of natural numbers less than or equal to 20: A={4, 5, 8, 11, 12,…

A: Given : A={4, 5, 8, 11, 12, 13, 17, 18, 19, 20}  B={1, 2, 3, 5, 10, 11, 16, 20}  C={1, 3, 4, 7, 8,…

Q: Let S be the set of all positive four digit integers. For each of the following questions, you first…

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Q: Taking the set of natural numbers as the universal set, write down the complementsof the following…

A: We have to write down the complements of the given sets.

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.