For the following Venn diagram, what is P{(BUC)A}

Q: Use Venn diagrams to check either the following argument is valid or invalid: All girls are human;…

A: We have to check whether the following argument is valid or not. Given argument All girls are human.…

Q: (BUA)NC

A: B∪A∩C' In this B∪A represents all the portions icluding A and B.  So, the venn diagram can be drawn…

Q: Which of the following Venn diagrams corresponds to (A∩Bc)−C?

A: Given . The expression for venn diagram .  (A∩Bc)−C

Q: If p(A) =, p(B) = and p(A and B) =;, are A and B independent?

A: Given,P(A)=12P(B)=310P(A∩B)=45

Q: Use Venn diagrams to verify De Morgan’s Laws.

A: Solution

Q: Which notation is correctly describe the Venn Diagram?

A: Let A be a set, then the complement of set A is denoted as A'. It can be written that A'=U-A, where…

Q: A survey of 700 households revealed that 300 had only a tv, 100 has only a computer, and 100 had…

A: It is given that, the number of households has only a tv is 300, only a computer is 100, had either…

Q: For the following Venn diagram, what is p((AUB)lC)

A: P(C)  = 0.42   P( (A ∪B) ∩ C) = 0.24

Q: A group of 2188 students were surveyed about the courses they were taking at their college with the…

A:

Q: Consider the poset (z*, |). Which of the following pairs of elements are comparable? 5, 15 6, 9 8,…

A: We have to determine whether the given pairs of elements are comparable or not in the poset Z+,| (1)…

Q: 11. Draw a Venn diagram for each of the following a. A n Bº b. (A U B)°

A: We have to draw a Venn diagram for each of the following           a.   A∩Bc          b.  A∪Bc

Q: 3. Use the SAS Similarity Theorem in writing an if-then statement to describe the illustration or in…

A: SAS Theorem:If two sides in one triangle are proportional to the two sides in another triangle and…

Q: A survey was taken that asked 1880 randomly selected adults from Country A and Country B to agree or…

A: Number of Country A servey people = 934 Number of Country B servey people = 1880 - 934    = 946…

Q: Create a Venn diagram that corresponds the following equivalent expression

A:

Q: Use the below information to create a Venn Diagram and answer the following question: How many…

A: Use the below information to create a Venn Diagram and answer the following question: How many…

Q: Construct a Venn diagram illustrating the following sets. U= {Store 1, Store 2, Store 3, .., Store…

A:

Q: For the following Venn diagram, what is P{(CUB)|Ā}? 0.24 0.06 0.08 0.04 0.23 0.23 0.07 A В O 0.750 O…

A: We want to find the probability  P{(CUB)/Ac}= ?  Farmula:  P(A/B)=P(A⋂B)/P(B)

Q: The 61 students in a classical music lecture class were polled, with the results that 35 like…

A:

Q: Find the SVD of 3 A = 2 3 -2 [Hint: Work with AT]

A:

Q: Draw the Venn Diagram for A - B

A: We need to draw the Venn Diagram for A-B¯. We know the following. A¯=U−A and A-B = A - (A∩B). Ley U…

Q: Draw appropriate Venn diagram for the following: (Aº n B“)

A: The Venn diagram depicting the sets E , A , B can be drawn as follows .

Q: Draw a Venn diagram so that N(U) = 15, n(S) = 10, n(T)= 4, n(SUT) = 13

A: We will use the formula: To find the number of elements which are in both S and T

Q: Which of the following statements describes the Venn diagram below? B A а. РА)> Р(B) O b. P(Ā…

A: Farmula used  P(AUB)=P(A)+P(B)-P(A⋂B)  P(Ac ⋂ B)=P(B)-P(A⋂B) P(Ac)+P(A)=1

Q: Draw appropriate Venn diagram for the following: (A°NB°)

A: The complement of the set A is the set of all the element of except the element in the set A  It is…

Q: There are ____________ distinct arrangements of the word "SLEEPLESSNESS" if the word starts with…

A:

Q: Which of the following statements is true regarding the following four sets: A = Infectious diseases…

A: Diseases given in set B belongs to infectious diseases i.e. set A. Diseases given in set C belongs…

Q: draw the Venn diagrams of (A U B) – C and A U (B – C) . |

A: We use the Venn diagram to answer the given question.

Q: Use Venn diagrams to verify the two De Morgan laws:(a) (A ∩ B) = A ∪ B ; (b) (A ∪ B) = A ∩ B

A: a) Step-by-step procedure to draw the Venn diagram: Draw the circle. Plot the set A and B. Draw the…

Q: Make a venn diagram using the following information below

A:

Q: One hundred sixty people were surveyed and asked if they believed in UFOs, ghosts, and Bigfoot.…

A: One hundred sixty people were surveyed and asked if they believed in UFOs, ghosts, and Bigfoot. It…

Q: Draw a Venn diagram for the following scenario: There are 120 students in the 9th grade. 60 are…

A: Let's represent the data, Number of students in 9th grade = μ=120 Number of students taking Math =…

Q: Out of 45 students, 33 students are taking English and 15 are taking a French class. 7 students are…

A: The following is the Venn diagram of the given data.   The total number of students is, nG=45. The…

Q: For the following Venn diagram, what is p{(AU B)C}? C. 0.24 0.06 0.08 0.04 0.23 0.23 0.07 A 0.914…

A: See the handwritten solution

Q: 5 Evaluate The following Ja-ax

A:

Q: Use the below information to create a Venn Diagram and answer the following question: How many…

A: We need to draw and solve using Venn diagram.

Q: 2. In a survey of 60 people it is found that 25 like to drink milk, 26 coffee and 26 tea. Also 9…

A:

Q: a) Provide 3 interpretations on the following graphic (boxplot). Boxplot of x

A: There is an observation that lies far away from the remaining observations and hence it is an…

Q: Construct the venn diagram of the following:

A:

Q: 6. Draw the Venn Diagrams for each of the combinations of the sets A, B and C: (a) AOBOČ (b) A-(B C)

A:

Q: Consider the poset with the following Hasse diagram.

A: Consider the set 6,7. 3 and 1 are the upper bounds for the set. So, lub6,7=3

Q: Is the set of permutations P(X), commutative? Justify your answer

A: .

Q: 2b.) Draw a Venn diagram for: z

A: Given that ; X, Y and z variables are given  Make a venn diagram for z.

Q: 21. Draw a Venn diagram for each of the following a. A N Bº b. (A U B)°

A: Venn diagrams

Q: A store located in downtown Boston has 80 employees. Through an informal survey of the employees, it…

A:

Q: by each participant is presented here.

A: Let X1 be the random variable such that jail sentence recommended by the participants in group 1. M1…

Q: Which of the following Venn diagrams corresponds to U−(B∩C)?

A: We are given 4 Venn diagrams. We have to identify the Venn diagram that corresponds to U-B∩C .

Q: 12 patients have fever, 6 patients have colds, 15 patients have headache.  1 patient has all three…

A:

Q: | Select ] [ Select ) | Select ) | Select ) > >

A:

Q: Consider the Venn Diagram below. A В 10 7 4 n(A) 9 n(An B) = | 10 n(BUĀ) = 4

A:

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.