Assume your favorite football team has two games left to finish the season. The outcome of each game can be win, lose, or tie. The number of possible outcomes is O a. 4 O b. 2 O c.6 O d. 9

Q: Given P(A) = 0.34, P(A and B) = 0.20, P(A or B) = 0.55, what is P(B)?

A: We have given that,  P(A) = 0.34, P(A and B) = 0.20, P(A or B) = 0.55, then, We will find the value…

Q: Given P(A and B) = 0.22, P(B) = 0.75, P(B|A) = 0.84, what is P(A)?

A: Given information- P(B) = 0.75 P(A∩B) = 0.22 P(B|A) = 0.84 P(B/A) is given by-

Q: Given P(B) = 0.47, P(A and B) = 0.10, P(A or B) = 0.51, what is P(A)?

A: From the given information, the probability that occurring event B is 0.47, probability that…

Q: If P(A) = 0.29 , P(B) = 0.32,  P(A | B) = 0.38 then P(A ∩  B) =

A: Bayes' theorem can be used to compute conditional probabilities and isexpressed as P(A|B)…

Q: If you have a study in which 50 participants are randomly assigned to one of the three groups, the…

A: It is given that there are 50 participants and three groups. Thus, N=150 and k=3.

Q: Given P(A) = 0.35, P(B) = 0.31, P(A or B) = 0.26, what is P(A and B)?

A: P(A) = 0.35, P(B) = 0.31 and P(A or B) = 0.26

Q: Given P(A) = 0.03, P(B) = 0.42, P(B|A) = 0.28, what is P(A and B)

A: GivenP(A)=0.03P(B)=0.42P(B|A)=0.28

Q: Given P(A and B) = 0.02, P(B) = 0.80, P(B|A) = 0.73, what is P(A)?

A: Conditional probability formula P(B|A) = P(A and B) /P(A)

Q: If a, b e Z, then a2 – 4b – 2 ± 0

A: We need to prove that if a,b∈Z, then a2-4b-2≠0 We prove the result by method of contradiction.

Q: A student is to answer 10 out of 13 questions in an examination. (a) How many choices has he?- (b)…

A: Answer: From the given data,

Q: If P(A) = .5 and P(B) = .5, then P(A ∩ B) _____.

A: To find: P(A ∩ B) Formula: Here A and B are independent PA∩B=PA×PB

Q: If P(A) + P(B) = 0.9, P(A N B) = P(B nA) = 0.25,Then P(ANB) = 0.4 0.5 0.2 035

A: We have to find correct answer for given question .

Q: You walk into a room and notice two things. First, the room is light (L) or dark (D). Second, the TV…

A:

Q: Given P(A and B) = 0.29, P(B) = 0.51, P(B|A) = 0.96, what is P(A)?

A: Given data, P(A and B) = 0.29  P(B) = 0.51 P(B|A) = 0.96 P(A)=?

Q: If P(A or B)=4/5, P(A)=2/3 and P(B)=3/5, then what is the value of P(A and B)? *

A:

Q: If a person attends college, then he or she will be a success in life. Kathy Jones attends Dade…

A:

Q: If P(A) = 0.29 P(B) = 0.42, P(AN B) = 0.16, find P(AN B) =?

A: Given: PA=0.29 PB=0.42PB=1-PB         =1-0.42         =0.58 PA∩B=0.16

Q: In tossing a coin 3 times, let X be the number of heads. Find the values of X. O {0,1,2, 3} O…

A:

Q: Given P(B) = 0.40, P(A and B) = 0.14, P(A or B) = 0.51, what is P(A)?

A: P(B) = 0.40, P(A and B) = 0.14, P(A or B) = 0.51

Q: a Let c d l=- 4, then – 4, then ba = ? d c -4 12 4

A:

Q: Given P(A) = 0.94, P(B) = 0.98, P(B|A) = 0.52, what is P(A and B)?

A:

Q: Given P(A) = 0.40, P(B) = 0.35, and P(A and B) = 0.12, what is P(A or B)?

A: Formula : P(A or B) = P(A) + P(B) - P(A n B)

Q: Given P(A) = 0.39, P(B) = 0.33, P(A or B) = 0.23, what is P(A and B)?

A: We have given that,  P(A) = 0.39, P(B) = 0.33, P(A or B) = 0.23 Then,  We wil find the  P(A and B)=…

Q: Given P(A) = 0.01, P(B) = 0.88 , and P(B|A)=0.34 , what is P(A and B)?

A: Given: P(A)=0.01P(B)=0.88P(BA)=0.34 The objective is to find the probability of P(A∩B).

Q: Given P(A and B) = 0.25, P(B) = 0.85, P(B|A) = 0.93, what is P(A)?

A:

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: If P(An B) = 0.2 and P(B) = 0.8, what is P(A | B)?

A:

Q: Given P(A) = 0.86, P(B) = 0.77, P(B|A) = 0.37, what is P(A and B)?

A: Let A and B are two events. The known probabilities are, Using the conditional probability formula,…

Q: If P( A) = .40, P( B) = .30, and P An = .15, then P( A/ B) is O .375 .12 .50 .045 A Moving to…

A:

Q: Suppose we know that P(A) = 0.34, P(B) = 0.4, and P(A and B) = 0.28.What is P(A or B)?

A: Concept of General Addition Rule: For any two events A and B the General Addition Rule states that:

Q: if n(A u B) = 97 and n(A) = n(B) = 67, find n(A n B).

A:

Q: Find the value of a, b, and c if (a+b)(a+b+c)=21, (a+c)(a+b+c)=35, and (b+c)(a+b+c)=42.

A: First we need to make some equations and the we have to simplify them in order to get a, b and c.

Q: Jake has a bag of 50 beads, some of which are blue and the remaining are green. Jake randomly pulls…

A: There are total 50 beads in the bags.

Q: If P(A) = .6, P(B) = .3, and P(A ∩ B) = .2, then P(B | A)

A: It is given that P(A)=0.6, P(B)=0.3 and P(AꓵB)=0.2.

Q: Given P(A) = 0.47, P(B) = 0.29, P(A or B) = 0.17, what is P(A and B)?

A: Given P(A) = 0.47 P(B) = 0.29 P(A or B) = 0.17

Q: If P(A|B) = ½‚P(A|B') = 3, and P(B) = find P(A'). 10

A:

Q: Make Q the subject of P = √a                                              Q2 + b

A:

Q: Given P(A and B) = 0.18, P(B) = 0.78, P(B|A) = 0.82, what is P(A)?

A: Given information- P (B) = 0.78 P (A∩B) = 0.18 P (B|A) = 0.82 P (B/A) is given by-

Q: Given P(A) = 0.84, P(B) = 0.44, P(B|A) = 0.20, what is P(A and B)?

A: Solution: From the given information, P(A)=0.84, P(B)=0.44 and P(B|A)=0.20.

Q: Let A and B be the two possible outcomes of an experiment and suppose P(A) = 0.4, P(AUB) = 0.7 And…

A:

Q: If P(A∩B)=0.21, and P(A|B)=0.3, then   P(B)

A: Given that P(A∩B)=0.21 P(A|B)=0.3

Q: ) Tossing a coin three times b.) Ansring a two multiple questions with four choises each

A: Please find attachment for the details solution

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: Given P(A) = 0.22, P(B) = 0.30, and P(A and B) = 0.34, what is P(A or B)?

A: P(A or B)= P(A) + P(B) - P(A and B) = 0.22 + 0.30 - 0.34 = 0.18 answer

Q: If P(A) = 0.68, P(A c B) = 0.91, and P(A N B) = 0.35, then P(B) =

A:

Q: Given P(A) = 0.46, P(B) = 0.27, P(A or B) = 0.37, what is P(A and B)?

A: Ans- Given P(A) = 0.46, P(B) = 0.27, P(A or B) = 0.37, what is P(A and B)?

Q: Given P(A and B) = 0.14, P(A) = 0.66, what is P(B|A)?

A: We have  given that  P(A and B) = 0.14, P(A) = 0.66

Q: Given P(A and B) = 0.23, P(A) = 0.46, what is P(B|A)?

A:

Q: Given P(A) = 0.04, P(B) = 0.48, P(B|A) = 0.76, what is P(A and B)?

A:

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.