Set B={Earth, Mars} Set P={Mercury} What are the elements of B N P?

Q: Questions: What are the elements of (A U B) What are the elements of (B U C) What are the…

A: From Provided Venn diagram we observe that ; Set C ⊂ Set A Set A : { {1,9} , 4,16} Set B: {…

Q: et A = {1,2,3,4, 5, 6}. a. How many subsets of A are there? That is, find |P(A)|. 64 b. How many…

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Q: iven P(A) = 0.40, P(B) = 0.25, and P(B|A) = 0.11, what is P(A or B)?

A: Given,P(A)=0.40P(B)=0.25P(B/A)=0.11

Q: Let the set B={−23,−16,−7,−2,20,36,48,72}. How many ways are there to choose a positive or an odd…

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Q: If Ac B, then P(A) < P(B).

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Q: From a deck of poker, which contains 52 cards, hands of 10 cards are drawn. How many hands contain:…

A: Probability: In a random experiment, probability indicates how likely an event is going to occur.…

Q: If P(A) = 0.35, P(B) = 0.45 and P(A and B) = 0.25 then P(A |B) is?

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Q: (2) If BC À. then P(B| A) P(B) P(A)

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Q: Evaluate each permutation or combination (you must show the set up): 3. P 1. Ps 2. P 4 C 5 de C 6. C

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Q: = 0.40, what is P(A)?

A: Independent event- two events ( suppose A and B) are called to be independent events if the outcome…

Q: In how many ways can be 10 married couples sit around a table if a. There are no restrictions? b.…

A: Here we will use the concept of permutations to solve the problem

Q: What is the complement of P (A) if P (A)=0.8

A: According to the provided data, the probability of event A is 0.8, that is, P(A) = 0.8.

Q: 2. How many ways are there to arrange the letters in the following words? (a) CRABS (b) САСАО (с)…

A: To find the number of arrangements of letters in given words.

Q: If there are 9 people and only 4 chairs are available , which of the following is the correct…

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Q: |a 16. If A = |1 | and B = Is , then A? = B if a =?

A: To find alpha when A^2=B

Q: Given set P = {-5, 3, 1} and set Q = {-4, -2, 1, 2, 3}. What is P ∩ Q?

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Q: Given P(A or B)=0.21, P(A)=0.43, P(B)=.005 What is B

A: The general formula of probability is given by, (P(A or B)=P(A)+P(B)-P(A and B) For this case,…

Q: a. Roll all 3's? b. You roll all odd numbers? c. You roll at least one 5?

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Q: ​Find, if​ possible, the number of elements in sets​ A, B, and C using the given information. If…

A: Given information A∩B=∅ n(A∩C)=2​ n(B∩C)=12 n(C−A)=20 n(A−C)=9 n(U)=31 We have to find the ​n(A),…

Q: 4. Which symbol means "element of"? O A Σ

A: A detailed solution is given below

Q: Given:  A={−1,0,1,2} and B={a,b,c} Is A×B=B×S?  Is (1,c) ∈ AxB?

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Q: Suppose P(A) = .2, P(B) = .5, and P(A and B) = .1. What is P(A or B)?

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Q: If P(A) = .24 and P(B) = .52 and A and B are disjoint, what is ?(?∩?)P(A∩B)  ?

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Q: What is the complement of P(A) if P(A)=0.68 P(¯¯¯AA¯)=

A: Given, P(A) = 0.68Formulas for compliments,P(Ac)=1-P(A)P(Bc)=1-P(B)P(A AND B)c=1-P(A AND B)

Q: Given P(A and B) = 0.10, P(A) = 0.68, what is P(B|A)

A: Given that, P(A and B) = 0.10 P(A) = 0.68

Q: Aling Puring needs to put the harvested sitaw, saging, mais, and macapuno in a basket. However, the…

A: Given : Aling Puring needs to put the harvested sitaw, saging, mais, and macapuno in a basket Total…

Q: (a) Find the value of P(?, 4) and P(?, 6) using permutation formula, where ? is 39

A: The permutation formula is defined as follows:

Q: b) How many 10 letter strings containing only a's, b's, and c's have 3 a's and 2 b's?

A: combination : A combination may be a mathematical technique for decisive the quantity of potential…

Q: i) all members must be local students?  ii) the number of local and international students must be…

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Q: If A={1,2} and B={a,b,c}, find: I. A*B II. P(B) III. n(P(A))

A: A={1,2} B={a,b,c} A*B={(1,a),(1,b),(1,c),(2,a),(2,b),(2,c)}     2)P(B)={…

Q: Determine whether ⊂ , ⊆ , both, or neither can be placed in each blank to make the statement true.…

A: Option (b) is true.

Q: Set A contains 45 elements, set B contains 52 elements, and 15 elements are common to sets A and B.…

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Q: a. Is 4 5 {4}?b. How many elements are in the set {3, 4, 3, 5}?c. How many elements are in the set…

A: (a)To verify that 4 = {4}.It is known that a set cannot be equal to number.{4} is a set with one…

Q: Which of the following elements would NOT be an element of {4, 8, 12, . . . } 28? 30? 32? or…

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Q: Let A = {a, b, c}, B = {1,2, 3} How many elements are in A × B? Determine A × B

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Q: Given P(B) = 0.30, P(A and B) = 0.15, P(A or B) = 0.43, what is P(A)?

A: Arrange to find P(A):

Q: Let B = {dog, house, cheese, book, car, phone, egg, square}. How many subsets does B have? How many…

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Q: Given sets P = {-5, 3, 1) and Q = {-4, -2, 1, 2, %3D 3}. What is Pn Q?

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Q: If P(A)=0.508, What is P(A)? Where A' is the complement of A.

A: If P(A) is probability of occurrence of event A Than P(A') is the probability of not occurrence of…

Q: Find the value of P(?, 4) and P(?, 6) using permutation formula, where ? 13

A: Introduction: A permutation is the arrangement of a certain number of objects from a given set of…

Q: Let A,B,C⊆UA,B,C⊆U and n(U)=130n(U)=130. What are the smallest and largest possible values of n(A)?…

A: To determine the number of elements in the given sets under the given conditions

Q: Let A={1,2,3} and B={a,b,c}, then: .a None .b AcB .C A=B

A: For the given sets we need to find the correct option .

Q: If A={a,b,c} then how many elements does P(A) have?

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Q: A bag contains 5 gold marbles, 7 and 23 black marbles. The rules c as follows: You randomly select o

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Q: Find the power set of A where A = {a,b,c}. How many elements are in the power set of A (if the…

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Q: How many dipferen ways Can the letters -f the ward Bab be aranged

A: The word is Babbe

Q: Given P(A) = 0.36, P(A and B) = 0.32, P(A or B) = 0.50, what is P(B)

A: By using the given information, we have P(A) = 0.36 P(A and B) = 0.32 P(A or B) = 0.50

Q: Let n(A) = 4, n(A ∩ B) = 4, n(A ∪ B) = 10. How many elements are there in B?

A: Given,  n(A) = 4, n(A ∩ B) = 4, n(A ∪ B) = 10

Q: Find the value of P(?, 4) and P(?, 6) using permutation formula, where ? 18

A: The permutation formula is defined as follows.    The formula for n! is defined as follows.

Q: −1,0,1,2} and B={a,b,c} How many elements are in 2b? How many elements are in A×B? Is (a,0) ∈ A×B?

A: Please refer to the image below

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.